Class 9th Physics & Chemistry AP Board Solution
Improve Your Learning- What path will the moon take when the gravitational interaction between the moon and earth…
- A car moves with constant speed of 10 m/s in a circular path of radius 10m. The mass of…
- A small metal washer is placed on the top of a hemisphere of radius R. What minimum…
- Explain why a long pole is more beneficial to the tight rope walker if the pole has slight…
- Why is it easier to carry the same amount of water in two buckets, one in each hand rather…
- What is the speed of an apple dropped from a tree after 1.5 seconds? What distance will it…
- A body is projected with a speed of 40 m/s vertically up from the ground. What is the…
- A boy is throwing balls into the air one by one in such a way that when the first ball is…
- A man is standing against a wall such that his right shoulder and right leg are in contact…
- A ball is dropped from a height. If it takes 0.2s to cross the last 6m before hitting the…
- A ball is dropped from a balloon going up at a speed of 5 m/s. If the balloon was at a…
- A ball is projected vertically up with a speed of 50 m/s. Find the maximum height, the…
- Two cars having masses m1 and m^2 move in circles of radii r1 and r2 respectively. If they…
- Two spherical balls of mass 10 kg each are placed with their centers 10 cm apart. Find the…
- Find the free-fall acceleration of an object on the surface of the moon, if the radius of…
- Can you think of two particles which do not exert a gravitational force on each other?…
- An apple falls from a tree. An insect in the apple finds that the earth is falling towards…
- A scooter weighing 150kg together with its rider moving at 36 km/hr is to take a turn of…
- The bob of a simple pendulum of length 1 m has mass 100g and a speed of 1.4 m/s at the…
- How can you find the center of gravity of an India map made of steel? Explain.…
- Explain some situations where the center of gravity of man lies outside the body.…
- Where does the center of gravity of the atmosphere of the earth lie?…
- Where does the center of gravity lie, when a boy is doing sit-ups? Does weight vector pass…
- What path will the moon take when the gravitational interaction between the moon and earth…
- A car moves with constant speed of 10 m/s in a circular path of radius 10m. The mass of…
- A small metal washer is placed on the top of a hemisphere of radius R. What minimum…
- Explain why a long pole is more beneficial to the tight rope walker if the pole has slight…
- Why is it easier to carry the same amount of water in two buckets, one in each hand rather…
- What is the speed of an apple dropped from a tree after 1.5 seconds? What distance will it…
- A body is projected with a speed of 40 m/s vertically up from the ground. What is the…
- A boy is throwing balls into the air one by one in such a way that when the first ball is…
- A man is standing against a wall such that his right shoulder and right leg are in contact…
- A ball is dropped from a height. If it takes 0.2s to cross the last 6m before hitting the…
- A ball is dropped from a balloon going up at a speed of 5 m/s. If the balloon was at a…
- A ball is projected vertically up with a speed of 50 m/s. Find the maximum height, the…
- Two cars having masses m1 and m^2 move in circles of radii r1 and r2 respectively. If they…
- Two spherical balls of mass 10 kg each are placed with their centers 10 cm apart. Find the…
- Find the free-fall acceleration of an object on the surface of the moon, if the radius of…
- Can you think of two particles which do not exert a gravitational force on each other?…
- An apple falls from a tree. An insect in the apple finds that the earth is falling towards…
- A scooter weighing 150kg together with its rider moving at 36 km/hr is to take a turn of…
- The bob of a simple pendulum of length 1 m has mass 100g and a speed of 1.4 m/s at the…
- How can you find the center of gravity of an India map made of steel? Explain.…
- Explain some situations where the center of gravity of man lies outside the body.…
- Where does the center of gravity of the atmosphere of the earth lie?…
- Where does the center of gravity lie, when a boy is doing sit-ups? Does weight vector pass…
Improve Your Learning
Question 1.What path will the moon take when the gravitational interaction between the moon and earth disappears?
Answer:Since the moon is in uniform circular motion with earth as the center. Therefore, when the gravitational interaction between the moon and the earth disappears the centripetal force due to which moon is revolving around the earth will become zero and it moves tangentially to the position it was present. Actually, gravitational force doesn’t disappear, so these worries are useless.
Question 2.A car moves with constant speed of 10 m/s in a circular path of radius 10m. The mass of the car is 1000 kg. Who or what is providing the required centripetal force for the car? How much is it?
Answer:The required centripetal force is provided by the normal reaction of the ground.
Now, according to the question;
Radius of circular path (r) = 10 m.
Mass of the car (m) = 1000 Kg.
Speed of the car (v) = 10 m/s.
The figure below describes the situation.
![](data:image/png;base64,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)
The required centripetal force is F = ![](data:image/png;base64,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)
⇒ F = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFIAAAAlCAMAAADm1U7QAAAAAXNSR0IArs4c6QAAAH5QTFRFAAAAAAAAAAA6ADpmADqQAGaQAGa2OgAAOgA6OmZmOpDbZgAAZgA6ZgBmZjoAZjo6ZjpmZjqQZmY6ZmaQZma2ZpDbZra2ZrbbZrb/kDoAkDo6kGY6kNvbkNv/tmYAtmY6tmZmttv/tv//25A625Bm2////7Zm/9uQ//+2///bNlJlSAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABbklEQVRIS+2Vf1PDIAyGoZutbrObP9eqdGpHge//BU2AtLO3VnbmL0/uerkc4eElgUaI/3FhBtyLlIvPCxfNh9vbD1uuWJEAs7sJle6Q417uVWZPgyX3VEaI7GfMgz4v8nhTemSba3OtekuuEIcKBd1pESNppnvUBjWcGy0i7boSrl6RJRdnthV8sBludxoopZzKZUBuYFGTkyUXQXb7DNQeGQNnC/MTUpgiqvEq05GTBx+rjIFzKl1zhZVrlqE80ZKL51Y+n1BrHznMTFFbyDKm2ZYy22PmgiVXiHesDFY8Rg4zA9KuZQZhrpYyZJ1hAJPuDQPNI+zmHvW5mk0kIN/qpWZGqg4qwqtSiSZTHon1/sWgWuADMEXOrRJu2Z61PP5aLkrOiuOD6Bhvuv8n4qtmfTweZgq+g6e9wlFPSls0GzXuSQzI0Gn6nsRCjMiUvpC837eelLwqoc0ltJrk7UY9KXnddOC4JzEg/zjiC546KDkgN/CrAAAAAElFTkSuQmCC)
⇒ F = ![](data:image/png;base64,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)
The centripetal force required for the car is 104 N .
Question 3.A small metal washer is placed on the top of a hemisphere of radius R. What minimum horizontal velocity should be imparted to the washer to detach it from the hemisphere at the initial point of motion? (See figure)
![](data:image/png;base64,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)
Answer:Given;
The radius of hemisphere = R.
The velocity of washer = V.
![](data:image/jpeg;base64,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The centripetal force act on the washer is
F =
………………… (1)
Let the mass of washer is “m”
And acceleration by gravity is “g”
The force by hemisphere on the washer is
F = mg …………. (2)
By Newton’s law of motion every action has an equal reaction but in opposite direction.
∴ Centripetal force on washer = Force by hemisphere on the washer.
From (1) and (2).
= mg;
⇒ v2 = gR
⇒ v = ![](data:image/png;base64,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)
Hence minimum horizontal velocity should be imparted to the washer to detach it from the hemisphere at the initial point of motion is ![](data:image/png;base64,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)
Question 4.Explain why a long pole is more beneficial to the tight rope walker if the pole has slight bending.
Answer:Carrying a pole helps the walker increase their rotational inertia (a measure of an object’s opposition/resistance to change in its direction of rotation), which aids in maintaining stability while walking over the narrow rope.
The pole also adds more weight below the center of gravity of the walker, which is another bonus for maintaining balance. By adjusting the place of the pole, one can balance easily their body and can walk on the rope. Finally, the line of the weight of total system must pass through a vertical line drawn to the rope.
The Figure below depicts the rope walker carrying the pole on tight rope.
![](data:image/png;base64,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)
Question 5.Why is it easier to carry the same amount of water in two buckets, one in each hand rather than in a single bucket?
Answer:In both cases, you have the same amount of force in the vertical direction, but when we have a single bucket in hand there is a lot of force in the horizontal direction.
With one bucket you are constantly leaning in the other direction so that the downward force is exerting directly on your center of gravity. Holding two buckets of water in each hand does not change the center of gravity of the person.But if the person holds a bucket with the same quantity of water only in one hand, then the center of gravity moves towards the bucket (mass). Change in center of gravity causes instability of body as the gravitational force acts on it. So we feel hard to hold the bucket.
Question 6.What is the speed of an apple dropped from a tree after 1.5 seconds? What distance will it cover during this time? Take g = 10m/s2
Answer:Since Apple dropped from a tree.
∴ Initial speed (u) = 0 m/s
Given in question;
Time (t) = 1.5 s
Acceleration due to gravity (g) = 10 m/s2
Now;
By Newton’s equation of motion
V = u + at.
Here a = g = 10 m/s2.
T = 1.5 s;
U = 0 m/s
⇒ Final speed (v) = u + gt.
⇒ v = 0 + 10 x 1.5.
⇒ v = 15 m/s
Hence the speed of an apple dropped from a tree after 1.5 second is 15 m/s
By Newton’s equation of motion
S = ut + ![](data:image/png;base64,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)
Here a = g = 10 m/s2.
T = 1.5 s;
U = 0 m/s
Distance (S) = ut + ![](data:image/png;base64,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)
⇒ s = 0 x 1.5 + ![](data:image/png;base64,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)
⇒ s = 0 + ![](data:image/png;base64,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)
⇒ s =
.25 m.
Hence distance covered by an apple is 11.25 m.
Question 7.A body is projected with a speed of 40 m/s vertically up from the ground. What is the maximum height reached by the body? What is the entire time of motion? What is the velocity at 5 seconds after the projection? Take g = 10m/s2
Answer:A body is projected vertically up.
∴ According to the question;
The initial speed (u) = 40 m/s
Acceleration due to gravity (g) = 10 m/s2 .
From Newton’s third equation of motion;
V2 = u2 + 2as;
In our question;
V = 0 (Velocity at maximum height is zero);
U = 40 m/s.
A = -g = -10 m/s2. (When object will be going up the acceleration due to gravity will be acting downwards to make an object to fall. Hence by sign convention direction of motion and acceleration is opposite therefore a is negative)
S = Maximum Height (H).
Putting the values in the equation we get.
02 = 402 – 2 x 10 x H.
⇒ 0 = 1600 – 20H.
⇒ 1600 = 20H.
⇒ H =
.
Maximum height reached by the body is 80m.
Total time (T ) = ![](data:image/png;base64,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)
⇒ T = ![](data:image/png;base64,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)
⇒ T = ![](data:image/png;base64,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)
The entire time of motion is 8 s
Time is taken to reach maximum height = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIIAAAAiCAMAAACkwfEhAAAAAXNSR0IArs4c6QAAAH5QTFRFAAAAAAAAAAA6AABmADpmADqQAGaQAGa2OgAAOgA6OjqQOmaQOma2OpDbZgAAZgA6ZjoAZpDbZrbbZrb/kDoAkDo6kLbbkLb/kNv/tmYAtmY6tpA6tpBmtv//25A625Bm27Zm29u229vb2//b2////7Zm/9uQ/9u2//+2///bgIDR3wAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABsUlEQVRYR+1XbU+DMBC+ViuoA6cgDrcx1PL2//+gd32hJaGLX5YmhkuabX3u5eG5GxSAzVCBPmVk2VKMRsh1dYKAc7+krLgi7UqGy90ZoHEUmgTj1yoFgWW97v7cHgL8A6k7ouBZTX5rFgT+KCBAKANRqAvomDilvIAjdkW0TEi1IeT4ztiOiiwBXh0Z/wCYYRj2jD1LzMOoDzqdcTLQnMH42pIqhoIaXkGNI6CoUiMafuiffsoMhlz11geg5gfamGZ4KhM55BhreojRzslANoP11SWRr1ZBV11QoJHU06omxVEwnjgcDu4fcQAazGUpeE4Wshmsry6pKUCXhShQuLZVCjOs05q6Vkf6iTwttKQgpE9hqj0KQn67XGOeyOmkaGCXHEDRnw/SwfRtKL1GGDbGSUE2g/U1FMx9ocDPBFeG2vJXXBVt0H1jz/ibUsEHcIAyWj6M47hT46jCMNp3ImjOQFG4YUoG/oDb9qZAFAXUczKqRbnsreimwH9V4IueN1EvbnypoMXjUWRTB5K45p3/IxFp444CHRGjM+iQQXft9e3mvRlz8xJy80pbgdsr8Au/3zEnCazjKgAAAABJRU5ErkJggg==)
= ![](data:image/png;base64,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)
Thus it takes 4 sec to reach the maximum height and returns with 0 initial speed.
∴ speed after 1 sec in return = speed after 5 seconds of throwing the ball.
⇒ speed (v) = u + at;
∵ u = 0 and t = 1sec; a = 10 m/s2 .
⇒ v = 0 + 10 x 1
⇒ v = 10 m\s.
Speed after 5 sec of throwing of the ball is 10 m/s.
Question 8.A boy is throwing balls into the air one by one in such a way that when the first ball is thrown reaches maximum height he starts to throw the second ball. He repeats this activity. To what height do the balls rise if he throws twice in a second?
Answer:Since the boy is throwing two balls per second
⇒ He is throwing one ball in half a second.
⇒ Ball takes half second to reach the maximum height.
WE know that time taken to reach maximum height = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAiCAMAAABV5mjpAAAAAXNSR0IArs4c6QAAAGNQTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOgA6Ojo6OjqQOmaQOma2OpDbZgAAZgBmZpDbkDoAkNv/tmYAtmY6tpA6ttv/tv//25A625Bm27Zm2////7Zm/9uQ/9u2//+2///bsRjPNQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAaklEQVQoU5VP2Q6AIAzrvPA+8QSF//9KR/QNNbHJtqbrmgzwoCmBK2Dg5uqJxOqo3WoXVI5U+TFfCt34d/Xl3gRHhjNM3UIHPS6SMoHOKGh5mma+EmzHXiftuQLWWGGJJljJ71jJq4LVd5xyTgTDtgQjhgAAAABJRU5ErkJggg==)
⇒ ![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,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)
Hence initial velocity of ball is 5 m\s.
Also the maximum height (H) = ![](data:image/png;base64,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)
⇒ H = ![](data:image/png;base64,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)
⇒ H = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADUAAAAiCAMAAADI62FhAAAAAXNSR0IArs4c6QAAAGxQTFRFAAAAAAAAAAA6AABmADqQAGa2OgAAOgA6OjoAOma2OpDbZgAAZgA6ZjoAZjpmZpDbZrbbZrb/kDoAkDo6kGY6kGaQkLbbkNv/tmYAtmY6tv//25A627Zm29uQ29u22////7Zm/9uQ//+2///bKKQTdwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAA7UlEQVRIS9VUXQ+CMAxcEVAElA8VZKiw/f//aDsG+mDoYkjEPpH0bndt6Amx/rqnABHalADgVZxfi1LJRbSEljnHoP4bqt9+w5J765Cczhc5HFDtCO5DF5cDSk4KuiBRrgyqQ1KXC11WgtcaUSpGp4CsKy4+Y3WcUNwrf9ivaUumPvydU2/4YMaz6KWXMOtwabHVvDfmhj6Bd3RwZQ7jlRvBwyQBU7rc2dMltIrxWhyuUmaFZVFuqAR16oCT6iJtWSY33Fjq0OgiO0+54eaQIgrAn3JD1L7TNnB42qHNDaFSh9xAa7dw03DT/77/BG3kDlJfAQa1AAAAAElFTkSuQmCC)
⇒ H = 1.25 m
Maximum height reached by the ball is 1.25 m
Question 9.A man is standing against a wall such that his right shoulder and right leg are in contact with the surface of the wall along with his height. Can he raise his left leg at this position without moving his body away from the wall? Why? Explain.
Answer:When the man is standing against the wall such that his right shoulder and right leg are along his height. Then the center of
Gravity is nearly at the belly point. In this situation, he can’t raise his left leg. Because if he raises the left leg, the center of gravity moves. Then he must move his body parts to maintain the center of gravity. Therefore as he raises his left leg he has to move his other body parts. The figure below depicts this.
.
Question 10.A ball is dropped from a height. If it takes 0.2s to cross the last 6m before hitting the ground, find the height from which it is dropped. Take g = 10m/ s2
Answer:Since ball takes 0.2 s to cross the last 6m before hitting the ground.
∴ Let velocity of the ball after time t1 = u;
The figure below depicts the situation of the question.
![](data:image/jpeg;base64,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)
By Newton’s second equation of motion;
Distance (S) = ut + ![](data:image/png;base64,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)
Here S = 6m; t = 0.2s; g = 10m/s2;
⇒ 6 = 0.2u + ![](data:image/png;base64,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)
⇒ 6 = 0.2u + ![](data:image/png;base64,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)
⇒ 6 = 0.2u + 0.2
⇒ 0.2u = 6 – 0.2
⇒ 0.2u = 5.8.
⇒ u = 29 m/s.
Hence final speed (v) of the ball after it traveled ‘X’ distance is 29m/s.
By Newton’s first equation of motion
⇒ v = u + at;
Here v = 29 m/s (final velocity).
u = 0 (Initial velocity is zero);
A = g = 10 m/s2.
T = t1 (refer figure above);
Putting the values we get
29 = 0 + 10 t1;
⇒ t1 = ![](data:image/png;base64,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)
Now finding the distance ‘X’ by newton’s second equation of motion
Distance (S) = ut + ![](data:image/png;base64,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)
Here S = X (refer figure); t = t1 = 2.9s; g = 10m/s2; u = 0 (initial velocity);
Putting the values we get;
X = 0(2.9) + ![](data:image/png;base64,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)
⇒ X = 0 + ![](data:image/png;base64,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)
⇒ X = 5 x 8.41
⇒ X = 42.05 m
Now;
Total height from which ball was thrown = X + Y = 42.05 + 6
⇒ Total height = 48.05 m;
Question 11.A ball is dropped from a balloon going up at a speed of 5 m/s. If the balloon was at a height 60 m. at the time of dropping the ball, how long will the ball take to reach the ground?
Answer:According to question it is given;
Speed of balloon = 5m/s (upward)
⇒ Velocity of ball (u) = -5 m/s (because ball will fall downwards)
Height (S) = 60 m
Time to reach ground (t) = ?
By newton’s second equation of motion
Distance (S) = ut + ![](data:image/png;base64,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)
⇒ 60 = -5t + ![](data:image/png;base64,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)
⇒ 60 = -5t + 5t2.
⇒
= -t + t2.
⇒ 12 = -t + t2.
⇒ t2 – t – 12 = 0;
⇒ (t – 4) (t – 3) = 0;
⇒ t = 4, -3;
But time can’t be negative;
∴ t = 4 s
Hence Time taken by the ball to reach the ground is 4 s
Question 12.A ball is projected vertically up with a speed of 50 m/s. Find the maximum height, the time to reach the maximum height, and the speed at the maximum height (g = 10 m/ s2 )
Answer:Since the ball is projected vertically up.
∴ The initial speed (u) = 50 m/s
Acceleration due to gravity (g) = 10 m/s2.
Maximum Height (H) = ![](data:image/png;base64,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)
⇒ H = ![](data:image/png;base64,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)
⇒ H = 125 m.
Maximum Height is 125 m.
Time to reach maximum height (t1) = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAiCAMAAABV5mjpAAAAAXNSR0IArs4c6QAAAGNQTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOgA6Ojo6OjqQOmaQOma2OpDbZgAAZgBmZpDbkDoAkNv/tmYAtmY6tpA6ttv/tv//25A625Bm27Zm2////7Zm/9uQ/9u2//+2///bsRjPNQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAaklEQVQoU5VP2Q6AIAzrvPA+8QSF//9KR/QNNbHJtqbrmgzwoCmBK2Dg5uqJxOqo3WoXVI5U+TFfCt34d/Xl3gRHhjNM3UIHPS6SMoHOKGh5mma+EmzHXiftuQLWWGGJJljJ71jJq4LVd5xyTgTDtgQjhgAAAABJRU5ErkJggg==)
⇒ t1 = ![](data:image/png;base64,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)
Time to reach maximum height is 5 sec.
Speed at maximum height (V) = 0 m/s.
Question 13.Two cars having masses m1 and m2 move in circles of radii r1 and r2 respectively. If they complete the circle in equal time. What is the ratio of their speeds and centripetal accelerations?
Answer:According to the question given that;
Mass of first car = m1.
The radius of first car = r1.
Mass of second car = m2.
The radius of second car = r2.
Now let;
The speed of first car = V1.
The speed of second car = V2.
Time is taken for the first car to complete = T1 = ![](data:image/png;base64,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)
Time is taken for the second car to complete = T2 =
.
According to question;
T1 = T2.
⇒
.
⇒ ![](data:image/png;base64,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)
⇒
.
Hence the ratio of speeds is
.
Centripetal acceleration of First car a1 = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAoCAMAAADABIqTAAAAAXNSR0IArs4c6QAAAHVQTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOgA6OgBmOma2OpDbZgAAZgBmZjoAZjpmZmaQZma2ZpDbZrb/kDoAkDo6kLaQkNv/tmYAtpC2ttv/tv//25A627Zm27aQ29u22//b2////7Zm/9uQ/9u2//+2///bX+M4BQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAyElEQVQoU7WR2xKCMAxEEwFBLl5BEOqF1vL/n+gGBqfgAzM67gNtw24aDkQ/qCuY/cZpYLPabhOinDkhE/Ia7+wOjmcqW+Vha/atJFSApYJXH1pzRMFEJdmsIZuypIm6PCEtm7dU8ChKt2Cicyzn7roZxuhyPslyuaNTr/4eGWMsjPmPgpk5KswhUy8KvokWA18ZgJN5FQ9f00sD5y10CElBqE0c15WDTKOHXzv3IzL8G7epEogjU428Tb16ZIo5gFTJ449M54hea7INw2c/gIgAAAAASUVORK5CYII=)
Centripetal acceleration of Second car a2 = ![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIgAAAApCAMAAADZJJErAAAAAXNSR0IArs4c6QAAAJBQTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOgA6OgBmOjo6OjpmOma2OpDbZgAAZgBmZjoAZjpmZmaQZma2ZpDbZrbbZrb/kDoAkDo6kGY6kGZmkLaQkNv/tmYAtmY6tpBmtpC2trbbttv/tv//25A627Zm27aQ27a229u22//b2////7Zm/9uQ/9u2//+2///b7Q7DoAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAADL0lEQVRYR+1Xa1fbMAx12kIZg8BepNvIHm06GEmT///vJsmWLTdu5PQL5+zgDzxaX+tKlq+vjXkb/2kFhk1RrHavlNzh29ZH7u+2/f2tMe3NSwYbieTpecjU4t3141AVxa3p1sUlTOg/YEWa93pdAImgolhI2jnIFI++fDDmUCKFZgnBu4+2Fs2FVhNCmhZAf9ZQRD90ZLLYNVKwYWvck08v3Wf8ZKjk4imoRSKReK777/AVy5w9uqtHnIu/+rud6UuotIVjhKnhkDhtv6BFeBCyL7+YH2pVA8imRTm1MX+tJA7ZAvNV6PaomG0+kW6N+0x783cTpeVa5mRNGAnp2w4Tg5ptf10UQGTYv9PbXgTrrr7fUDYB50kmyVAwt4NN8WCkAiGyhe1qVrvh1zPsuD5qLh6cYKyNxPXlVK8xEgP25XLLCoQxEdlXxeon6gG2njr6UFQ+dAE3VBNbzEjQEZjV4A+nQNRxFyF0FpEuEgACC1w9cW4SSFYgWKReBiJdTkVa2o9oCFwTTqWVW1A+99uMkV6BYFqz8GvWcKqOejmxUePlJE4QGSq6CvuSOhp79DgFoUAREbU9aIIIlQDgYeBBDSNbKtawI3RTnIyPmdohV5gmEmUNTJ7vL/39oyGNj0d/aHXh5WIUw+LywwEXp+gE0kFbNfIRs0Szihlx1jERDTlza7TlhOjT1oSSaEhtL47PKl81SZzUEW5WbpJp/Zc6kkVpJEuRZ/X6T1qJFMKxSQiaiFgLZc0iMlRHWiNvDPnlwfk2r54jpIw3+WWamE064VnhUy1p2qWxZ1WRSSZ4d8JIeFYQz0nN4m/HnlVDJonwVT/2rHBzTforRo49q0PO9Kzu9k94VmvSTw+HTHhWQs71rC5cwrNqrwKHTHhWj5zhWf37ZeRZtYIwcuxZHdJ61hlvWOvG2bOG21Z/kxASt4auaXa7zv07zyr1QFGUYYMPRvas7hEOH+pCREj2rOx2Gek9a3CQ6opP9Ni10uke4YffKgonPO2EZ7Umc4QUDjJrTT+JXeE8FCWRsuvSQc5a8uwETNIlRw5yDpGzEzB5LjmXy9kJ5AZ4m/fqFfgH85pWts6FLrAAAAAASUVORK5CYII=)
⇒ ![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,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)
Hence the ratio of centripetal acceleration is ![](data:image/png;base64,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)
Question 14.Two spherical balls of mass 10 kg each are placed with their centers 10 cm apart. Find the gravitationl force of attractdion between them.
Answer:The Gravitational force of attraction between two bodies of masses m1 and m2separated by a distance of R is given by;
![](data:image/png;base64,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)
G = Gravitational constant;
The figure below illustrates the question well;
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVEAAACfCAYAAAE35NqkAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAADhhSURBVHhe7Z0HvFTVtcYJJubFp0meieahcOfWAW8QjYgNAStSVCwRLKiAEnvvJWJvqNiV2LASgx0pCnaxi72BFaXcgljSk5fz5r/ufJfNYWbuzNyZuTPD/n6/NefMPvucs8/ea3977d6p5NBc13X9xrrIkMa6qqHFJ5EhhC8e1E6dlkYjg4IiBuGLB7VTJ74g7t6huOqqq4J99903/m85CF88qMUR2H/84x/xs5WRMrATJ04Mampq4v86BltvvXX8LEVg//nPfwZvvPFGcOCBB8ZdEuP//u//4meZ4a233oqftY2PP/7Y3pM0sH/961/NAzJw4MC464rINqDCv/71r/hZEDzxxBPxs8TAb9LAAgXmxhtvtGM+8c0338TPVsbnn39ux5SB/e677+JnHQci7D//+Y+dpwxsR2C//fazIwFcunRp8O9//9v+g6ILrJAoP6QMrJsBCo2MA9uRkJ66SBlYuDbRTYVAxoHlho4KbCIqazOwkyZNCi666KJg3Lhxdrz44ouDCy64IDj11FODY489Nhg2bFiw6aabWsGx/fbbB3vssYfdi77vuOOOdm3LLbcM+vfvb6UhxedGG20UjBkzJjj44IPNjfNDDjkkGDt2rB3POeechDZCysCiBh2FNjPYkrqqHWKHoFglHr4WLO71q/9eVFtRv7im26+LTSxcsfDFg1oiiMXxajF96IdOFKn0I4ydmmtrf7o0WnVwXIeLDoSNMHb6urr6Z411lWPj7h0GbOdENjNhI4wrBfTvf/97/KxwwKJSoXPWWWfZUUgaUG7ANHPrO/nGlClT4mfLIW5NGFCi/8gjjwyWLFlinpIhEUGng7/85S/xs+U44IAD4mcrghKPUithQD/77DPzBAh02Ab4+uuv22Ui6l73Q9t6XsKAAgXub3/7W+sDOYYD3R64AXXzRDjG8Zc0oICqcC4DlgpfffVVa6xOmzbNjrybKjZIGVD3iwsFAnf55ZfbORackDKgHYXrr78+frYcKQOaKHcWAldeeWX8bDlSBtSt0hYS0ksXKQNaTEgZ0I4oRgGUGEbKgK6++urBNddcY3Unydlnnx2ccsopVt8ZOnSo1Y169uxpdaXBgwfbfTfddFPw5z//Odhkk02CbbbZJhgwYICVPBz79esX7LXXXlZXog41evTo4He/+509j/8jR440qz6MlAFN1dBVaLQGtKG+fs3GmM3XYkMXnxA2wsi/H3y9QWUkUZ2lGISwEcZYoFsQ+7Pawi5d1iCavWQmxBvxF4/KFizo2vUnDdGKvs11kVHor5fMhHgj/ojHeJR2ihMVFdTiLacKDQxQJFFRFEZL5FYNJR7jUeojNQyM5Orqamuu3GWXXYK5c+emrDtlFam85O2337b205kzZ7ZZOStlvPfee2aHuE2yDz/8cHDooYfaeaJvzyhS9WCOqlYRwePHj7fzdCG7vCOqZm1B30hk8W2poO/AeHT9ZhSp3BhuHXLRFt8QiR2t1W+++aYdibx0+DFd0GUtJckoUu++++7WG4kcAjhv3jwTskhDQ0OwePFia8Ci81PS2Nho8sknnwQHHXSQ3d9RIPw0bPXt29fCRluVhP/XXXddsGzZshXcdJwwYUL8KYkhbc0oUlH3RYsW2c1UBKV11I3KBXwTCpAIr776alJKoK9N8ZFRpAq0ThLBSLKXlDLQ5HfffdfO3e/ju8OYMWOGHd1rWUWq0NH8WGjQgpEO2hWppGg5amp7kXWkoqXFaBLlE83NzfGz1GiXpibimHIGA/TSaaRvV6SuamD0jVuzSoasI5WHU0LCqVCBuNXlWM5dd/VpprIaXHe3IERDVIPBT7L7XSQaHiTo/kTHZNfo0kmH8rKOVF70wQcftJ7nC3wEz1eECm6HSaqaUfi+8P90oFL/ueees2NbSBqpS22+QupI5cNWpcKKb00nUYg34m+FSH23vn71JdGqXku7V+3VXFd5gJfMhHgj/ojHeJQuR9CpU2e6BbxkLJ3jUeiRN8Ri+QdBTG2bundfC07wkr4QZ8QdcRiPzpZhsl/HuKChtnJgS0GFBeClLSGuiDPirnUo77gYByytqenWXFv1WzrVW0wCL2mLDYyt+i1xSFxa/35TNNKjKVq5f9wi8MgQxB1xSFxahDKSAjMgfn2Vh+xujumMyCLuiEMfoSmw22672awYH6E5BG0aN9xwQ7DDDjvEXRIjqwjl4TRIkA1SNUyUE9DOJ5980hpO9O2JkFGESuWPOeYYm1yWyy7cYgTzK15++eX4v5bvP/zww4Pnn38+6bdnrKGuRhbTIM9c4sILL4yfJQbNk3S5g3CfVEYRipq7pR7IpokMcF+ybJMP8D6Uoa3mx6222irjcLkN0mlHqBqX99lnHxtA8OCDD1qXQaYv7927tx25L9vEyBSEWxMWkr2TyCZL853photveO211+L/WpBWhNKKruzt9jPhvtNOO6XVDyPN2HDDDe1YaDDxV0imBDvvvHP8LD2QADyL7xenphWhpBhLqiSCAtdWhx7DetLpq8kHWHjCzeovvfTSSkrAN2YaPuUyhkrq3rQiFLilGtmHGSoM5fniiy+se4QxQ4yJCo8zYowUXbQbb7xx0mExhQQDwqZOndo67skNL7kwHH4J/pMpDd8mpBWh8EuPHj0slXloU1OTpQzn33//vflpS0OLCYk4Eo1tq3QPAyVDS//0pz9lluXVK3ncccfZUbM2NTiAiHZ7LksVDz30UPxsZSSyO3Hj2106SStCBfEEtQVSFK0sh4gEihj65ROBbK9cKA3nyAwvFxlFqEDE8nJSqJwiFPBtJ510kp0DRTQI0xpjZMOam1WEkorJTI9SBxFKmcFYfA2BBJ9++mn8LAgOO+yw+NnKyFpDyzVCk+Hbb7+Nn6VGVhFKaZiopCxnpDuONKsIXRXhNgqlQlYRyjKN6VQ3ywmyt9tCVhHKrJFVLcvzvWoPToWsIpQq56oWoWhoIuM+jKwiNNGSGOUOLf/ZFrKKULCqaWi6yCpCmRtaLjWkdMHaSHnL8h7JkVWEXnLJJXZUtlddV3Drv/hxa1UuVeBH18LPAIlKVWppSFug3h2ue+sdbvhSHRGZh+GujmTIKkIxcjt16hRcffXVwaWXXmpz788///wV1uKRXHHFFSZDhgwJRo0aZWvoUBemb4oV5nbddVdzYwDB8OHDrRuC6da9evVq7WKghV2ga5cG3T59+gSbbbaZdcEMGjTI1vthnVQWamcNH9y3224788faqSNGjLD1UFnPB2GSMOv60MChNVJxI4ys+4No3dQf/ehHKRuYXWQVoZMnT7Yj1bF0bLNsgTa7uUDaHNbQcCUjUZjSiYxE4J08j774dJBVhNLtsaoVSnSNiA5SYaUIba6tqG8rQldFuDkkFYg74lAR2rmhpqa2qbZqXzjSS+ZC3BGHsT824PYHC6PRXzbXVg5cUls10mLbS9picRaLO+KQuIxFcCyKBwz44Xe1tes09qiKorrwgZe2hbgizog74tAiUyB2UdmYJJqL4yW5EGfLZ4AkAh7iHn0EeymESNfSUMwYFTDlBlpgRUgoghX1PbV6yYegV+gXeoa+oXfoH3q4ksLiwLxaDADm2GIM2Hxbb0x5KYCgZzYvHgM+pn/oIfq4gqLG/nRmwV/MfjZNoQrA3Lt4FcvDI+9A39A79A89RB/Ry7iKmpKuxrRl6JfZtmg3k0Tj93t45B3oG3pn+hfTQ/QRvYyr6HIlxU5gWrhXUo8waNWkjV+tm26zcTr9mm1BSor+oYdeST2yBrt4gD333NOO9PQBprWgwOl0ryaCV1KPdkMMSq8qLEqvqMugdGkzxwr3dPqSwsi7kqobl8Crx1Tdv3wUH0MOS6dn0aN4QNqRnkpTlJCBdQw1YDwGC4jfd9995uZO/CO9UVTuT1dh866kDDiRArJZEwHTjvzrr7++HUE+x054tB8QCWmHkjFUmKmuL7zwQvzqipDiJireGX+37bbb2o4iAN2QPZtMafOupG5AxaCMQwHaR5ORRx7FD0aQMeILZSJdVQpmApWsum+LLbawI/+TTRPJuZLqRbw0/GJo//333zdhUjsgJ6UKYC5A0cL25gzbY7gfs4DLlbnFRk899ZQNdTz66KNt2GM24FnEHcU3+5eQRtmOwksGTQjbfffd7ZgIeVFS0f1HH31kkQRQCuUeF8y4YKxnvrHGGmsERxxxhLE2YVSmSFbElCqkREw2YRYkG8+wgESmyqWKD3EGSFNKwlyTiXSFzMBY4USElXMlVaJvtNFGdgTJFAHFJTLITbCbprC3l+V4pp6hiXHpTpArdVAyEd/JltpSvEg5kgF/mGUoeVt+2wMxKWH+8ssvreIVfl/OlRQwC33BggUrvUz/H3/88WD69Ol2fPbZZ4NHHnnEll2hqQL3+++/31aY5zls1IPbo48+ahtz45fN5HHjv9z5P3v2bDufNWuWjbxng3tt5r0qg6IaM4fkZFG6e++91+JNcc1yN5yzStcDDzxg5wgzJG677TZbVIT/xCWCH9xIG9Ij/AyOMCPsnSnhsFsycEvdvCgpOeK8885bqXhHSVlPkg8Q+Aj5YxsuMUG2cJ8Hcl08lRpcs0bxHk6XZEDZQLr+BTbPp2TMJh1ZyRG478yLkmK7EEjXYFdk8XLlLo6ylbQQKh+Wae7zyB+yWXrPLUFl26YCmYc0h9iU9nlXUgLmMhgb4DORjWKC9bbuuusus3WgdooekGlu9cgv1LYNWKYa4JYOgZx66qlWmuI3rKSkM7rhsizPDW915b4nL0rqggAhYkzlMpdZvYIWP1gFkFVlXeVNBSljMnAdRVy4cGFw+umnr2AChpF3JQ1De/F6lBZEJizhSZszvU4A0kHZXGZkKjutCyg05MQ1kZOYlUEoVLLSQcGVlEZ8BTjdXOlRHIDtEJROy9zNnz/fdqygZeaMM86w/noqTph0d955p62vcMIJJ5ifOXPm2D1hpW4LBVVSAkbbmwLplbQ88fTTT1vlOVfpW3Amvfnmm41JxaYe5QEpJEcYNJedJwVVUj4ABs20i86jtAABKY0zKdaToeBMir3iUd6g4sRq7LlCwZUUUEv0bFq+cIv+dBrz20LBlZTROShpLg1rj+ICW/e88cYb8X/tR4cwaa5ymEfxArsUIspFBbngSsqomlVl2NyqCjpstG5sLsy6gispe2QxhtDbpOULBhdpnGjJKSnUT5MEjfn6CPXZ4pYIcm+rKcM1H9xmLu6XANwJB3axgBsSdgOET+7udfcZnKsnRuHQ+zBt9I0Cz5Y97oZN4VYRyfMVjmTgfW74ws8uFBRO3skuVkrfXNQ7Cs6kLE/OHCfsFUbLADdxNSjBHZyQ7EPDAxiUuMmA/7DCuAkMkr0rmTuJonDo2e+9994Kigfc94bDID+JkE4i50IR2gPinW9goh5r3bMUPVuv5SpcBVdSJRBtaaw5Xw6QQpJYzEhgmJqLXCRWRytiOmDjb0b8u8hFBbmgSkoiksu03bFbHInJSh1kQn0L52JJFX+poAxMvLjPAC7bEo+uXwQ2T1aSKJ7DpRXPQPkR3Rv2q/9cl1+9W8/Br8KHG3uiwai4laSSAj6SwJcCO3hkDimvlLq9SEtJm2trf9oUjfRYGo0MaopW7r/Ur0/qUUCgby16h/5FeqCPKyjpuE6dOi/o2vUnS2tqujVEK/o211b9trkuMoqFTdFwL17yKjE9Q9/QO/QPPUQf0cu4irYArWW98ua6rut/Ha3qFaPdfg21lQMb6yJDWNgUGvbiJZfSoleRIS16VtUPvUP/bN18l0VdxC6w68hqAevnd+myRlP37mthG3jxkk9Bz9A39M70L7ypg4eHh4dHLhEv7v0ubl4KKbbJGBJXw8SgFsUGT59FIv/VUL/OmlT/E9kOXrzkStAxdA2dQ/dWqskLaPF/amt/vCwS+XlT927rNdR2q2lpo/I74HnJj6Bb6JjpWkzn0D10EF2Mq2ULjF5jNalv6ruu3VhdXddcV7l5U7Riu4ZoZBBNAuGmAi9eciORIegYuobOoXvoYLxWv+Lud7RDLe4eqaThtClaOSx28z609tMt5cVLvgQdi+vaMHQPHYy3iTo738XK/i8qKv5ncXV1z8ZoZDB7OjZGqw6iSyphT4AXLzkS07GYrrXoXGQwOoguopMtyhmjUjYUjV1Yt6l79abNdZHdrdszdnO869TDI69A16zrM6Z76CC62LrJLT/zYoZpY4+KLktqIls21lbt1VgbGdNUV+m3A/EoCNA1dA7dMx2M6SI62aqgVPHpD7WO+2jlcCjXK6hHoWAKaiZl5XAbvBTTRWt2Civo0mh138Zo5QivoB6JoAHVEqBBz+2BFBTdQwe9gnpkDHcmANDg5bB7NvAK6tEuoIzM/GShY+agrbXWWsFBBx0U1NXV2arM7YVXUI+cAGXUVpranOP44483BWZXw7amWSeDV1CPdgPl+/DDD1sVc9SoUTaB8Nhjj7U9scaNG2e7HCab8JcKXkE9cgLsTWapiilhTipLbATHFHSgZcgzQUEU1J3xp1wkN7fW51Ea0HRp0jJZ2mnKufZjZUMH4KZ7Osi7gqqpgY/R/GsFTtdwd5XYo7gBW7pNSJyzpTvbOU6aNMk2Ypg4cWLwyiuv2HI5SluO3IsuMB09nWaovCsoAYL2CdxNN90UDBkyxPb6HDFiRGtO9AxaekC5rrnmGtv8jVW3ly5dulI64oddYs455xzbaIyiXsrqElYqFExBqckNHDjQ3Pgg3Fi0H+DHK2nxArZzVxZhDa4zzzyz1VwLQ/4S4dZbb7UtcAQUFkWWCRBG3hUUYI+AsWNbxpiwGxo5ji0WTzzxxOCtt95Ki+49Og4oKOvWU0NvD6S87PLMjtr8V0maCAVhUAGlJMdA+9A7H03zBFt8exQvYErSiXZNgEKRliBTYpEdCti9TvvAJlvXKucK6iokCggIFB+pIsHNMbSPffDBB3llUIVJ71BYFJ5yg+w8oLjPFO4zGhoagpNOOsnOSbvw8zMBpSn36L6nnnrKSlTXhHCRUwXVS1EE2ZQwpRQDZaQ41y67BEjLh6ei+faAxKFSRpGy6667WqNxoogoBxDnCOmwxx57mElFt+Pbb7+dlY2vNs3NN9/cjpkqY1sQSbDEOMtaJkLOGZQXopCqoT3++OPB3nvvHVx77bW2VDhLSX/yySe25TeblBIJUtZ8gEhlT0oVSYDcSjjF8OUCvgnwXeuvv76dAylupiDujjrqqFaSIa0wz3IJKT1rjwq8T9+SFwaVcrIhKbmXl6miFMZll11mDJfr3OmCdrkdd9wxOOCAA2zfUbF2NolW7EA5icvKysrglltusXbJTKG0oOeHASCkJ3GVDxJR6cp6oxpc4qZLThWUD9DH7bLLLq3nyT5M7lOnTjVjGf8os+7LFtzvytFHHx18/PHH8avlDdl4LoMKmFEkPtfbAs9hBxe26s4nCI9Mie22266VOWXy5VRBATl41qxZxooqFhKBSHJNgW222caO6UReW1CuVBGe62KpWKG45LsXL15s5y5ECG3Z+0oDt70yHyAciMKN3QzyxqD6MGxL4EZEIsXTXvREHBF6zz33mLsULFuwNLXAx7f3eaUCvhMhrhOVWi+88ILFB9faUlIwZswY85sL0kiEcBgfe+wx0wfCKHLJOYMChlglAsUGFSXY9ZlnnrEKFGzLce7cuVbjnDlzprlNnz7d/HGkvYwjMmXKFHOfNm2a/b///vtb78GNRf4nT54cdO3aNTjmmGPib151ARuNHz8+WHPNNYNzzz3XlGDGjBmtcYg88MADwUMPPWTujzzySGs819TUWNxyDX/ENeaY0oT7ws/gfN68eaZgiTJJKnA/tfm8MahArR0kynn03dLuiaJSYfn888+D+fPn20edfPLJwVdffWXtbgisShcYR3oxqIkzcpuWAM71n49isALdqfg777zzbER3LveZLEWgICgK8cVYTYrsRYsWWcmFG3HlCvHpHmmawwZ13VKd6z9doSBT5oVYwqPw86Kgw4YNs6MMXhcoj6APIMew/9Ds2bPNTTZJNqCIU7G+qhTtqUAaqLgU0ineAaZaojRsC+eff76lQabpeNddd9nRDV9OFVQKh6LxMv6Ti107BpYD/EcxORKgffbZpzUy2ioawtfDiugVMzGUBm3Fr/ydcsopdnSL3HSgJsV00oFnqyKtijLhk5LmnEEVqH333Xel/lUpoKuI+Mfeefrpp1sV1qM4gL1KumQKpWE6aSnlRycoeVHMvDIoohyBzUPRjZuUkv8A5cSNPcmpMAH5SefDPPILEY1GoGUCpnkApWcyyARAXyApV1mFvDGoXvbOO+/YYFX6W+fMmWNtXRjDp59+ujXMAjfHeBQHZLfefvvtloZKz3Sw00472TGRKSE3PU9pT4nrIm9FfBhuIKmtU8NjGoAg1k3HXvEoHFAglXwMNNd5OqUbTU74S6SguMv0E1P2798/aYdOQRTUVT6d6wO8YpYGNtxwQzuGWwSSIZFyCqS9GHK//fYz5Uym+HlXUKCXq3ZH4Dl3P8IranFBaQWTylaEScNM5yqWzsWM4WsIiql0x8SjvRskS/+CKKgLJlB5lBZQUCkbc5GYsQlg07AtCfADNGoMhZXSAnqnGF2WDgquoLStuR/jUfxQsY6Swn4oGz2CV1555QqKJxaky5pz2NZlRmr3dIOrDuLemwwFV1C62ICKEI/SgNILpZPNiILdfffdwciRI4PDDjssuPrqq62PnqbDG2+80a4xnpRBJ2eddVbrqDIV9WLlVCioghIoigTPoOUNegsz7eZMhoIzKPROzvNKWr5gVJIYtr0ouIKeffbZrYa1R3mCaTy5SuOCKii5ioZ6Ap+O/eFROqDypDRlSRyQi6bDgjMoIOC5slE8ihMobC5YtKAKqlxGwNVY61FeUJMUJFSSNijTDmBPr6DlCwYsl6QNCljZA+TCPvEoTjB1B5ScDQrlv/TSS97+LHOofz0XpWRBFVT2J/BFfHkD9iw5BQU01Kc7ZMujNMEMCdI4F02JBVdQFvJymdSj/NCzZ087lpwNCjRT0KN8oSVzwmNHs0HBFRTkIuAexQ3sz5JjUNXeGSjilbQ8oTQu2XZQxgV6lDc22mgjO5ZkLZ6Get8OWt6oqqqyY0kqKKvYUYv37aDlCwYsl2Q7KIqpqQN+wHL5gh5D0rrk2kEp2lnODwNagVejfTKFTadC5Y6a0XwZRM/kSI7WOwmHzAzcVNt0TQ/lfvl1rwH+8x2EX6JZjEDvJjzh8PNs3BRufaMbJ3pfqppwOIyAZ/Asvb8QUDj0TlaQAeHvzgYFVVCgFcyUOOHI1VHngtxcPzoSQRyVmLom6HoYuCkcikzXLQyuuc9JVFN175VfwoXS5SLBeA7gmVKMVAiHOdX/bK+FF4mrqKhYwW97UHAF3WCDDezICr8sMKsPTcYU6TKBqxhKvFw0dSRTAtx5D+/lnEyG8rCIKwvucs1V+rYgP4n8Ko5cJMtEHQXW29JOdJtttpkdRTztQUEVFGW74IILYo/tFBx66KHBVVddZYuK4cZOuGwXgzAt5LTTTgsuvPBCO5d7IuE6ETNhwgQTztnVg11GmHqw5ZZb2rMGDBhgTVxDhw61xczo7WCO9uGHH27H3Xff3VbO2GKLLayZhNWF+/TpY355BszPTs0Ie/r06tXLli4XpDCDBw9eIWFQrCeffNKWeOG5v/nNb0xIxE022STYdNNN7f28j8UMtt9+e/s/aNCgoG/fvraoFmHdf//9bfouYSQMvKdfv372XfjbeOONzZ3vYIVr1ltl7jqr07EdEMfRo0ebG89hOjD7uOPOsS2/uCGcyy/7dnLOUuukJ+8kbXEDyUgnExRUQZWILObPx7HzXDlACQGDau9JF4W0B4VETJwvkK733XefKaoWKKb0yEUYCqqgFIXh3XJJXNlVpQQin4SRcnKeqkjH3EhW5MkUSZagekc6Jgt+kUIpKO8hXK4pRCkFcrE4R0EVFLBzBOCDFIkdwTD5AkrI98gmBShMW9+If0QJHVZoneMuRcWvnp1KeV2FVSmm5ymMul9+Ec6Brsmv7uVZei5uhIN7RowYYWHLRaWwoArKBzBWkI9xc5xH+YB0ZcNgFLXkFJScKCbxazOVL8S8Ytr2IG0FbYhW9F0arRzeHgWlOFCbmVfQ8gTKCYuyEW0uIAVF99DBlRR0Xm3tjxt7VHRZUhPZsrG2aq/G2siYbBXUwyNTmILGdA7dMx2M6SI62aqg79bXr764unrdpu7VmzbXRXaPyajGusqxtHd58ZJvQdfQOXQPHUQX0cnYxR/Ersd8DBjwwy8qKv4ndqFnYzQyeElt1cgWyq06mJu9eMmXmI7FdK1F5yKD0UF0EZ005QQxTe28uNev/ntx90glNkBTtHJYY11kn9hx/+a6ygO8eMmXoGNxXRuG7qGD6CI6GVdPU9AfBDFK/aa+69qN1dV1sRs3b4pWbNcQjQyK3Tyksa5qqBcvuZfIEHQMXUPn0D10EF1sLd4FNPY/McN0WSTy86bu3dZrqO1W0xSN9GiurahfXNPt11685FrQLXTMdC2mc+geOrgCe7oYF7tA2U8Vv6F+nTWba2t/+nV19c+8eMmXoGPomjUrxXQPHYyrY2JYcd8inWOymhcvBRB0zfQuroYeHmUMabsXL168lJPEKS53cB5uJulTAzr98LXevX9kDf0xoUeKiheCnevFixcvpSLiLutZj/EZvAa/wXPwXZz3siPX+I3W8MTDF3Tt+pOG+noaBH7+VY/1fkGPaUN95H9pwUIYg+LFixcvpSbiMPgMXoPf4Dn4Dt6zriN4ME6ocYpMDjzRYgoTw9A8iD4oa+6PVlTR/L8kWtWrqaaid3Nd1WaMkWroXrFVy4DSai9evHgpGYG34C94DD6D14zfYjxnfBfjPfgPHoQP4UXr1UxGpiJQY90Wc/fnDCKlM7+xNvKbhmj11rEX7UCH/5JoZLfmuuo9mmurftsYrRzOqGhJy/QRL168eClOCfHVcHgMPoPX4Dd4Dr6D94z/YjwIH8KL6ppPSKQ4xmQ1GJf+fCPQHlXRpmhVn6Zo9fY2ZDQWgNj/kc11lQc210ZGM2o/FoAxLfOfvHjx4qW0xPjLeCwyGl6D31p4rnJYC+9V9YEH4UN4EX6EJ1ci0TiBdqZRNejdZY2F0S6/XMZ4+7rIxk01kW2aaip3bayL7N1g5Fk1RpNDmP7kxYsXL6UumpAEv8Fz8B28B//Bg/AhvAg/Gk+GrdE4ia5GI2pT9+5r0cgK+zI2v7m2cmDswXsaQzNfNE6g8WmkHh4eHmUBm90Jv7EWAzXuGO8Z/zFHKcaHLZ3p3deyzqawNSoSxVRleD4NqotqK+ppdLXJdLQbMDsP0zdugcbf6+Hh4VEWkEUKz8F38J5N+IzxIHwIL8KPCav0IlHGTtkcp7qu6zMhjx4smzkarRzR8tCqgzyJenh4lCNEotZW2kKiI+A/eNAmKMd4EX6EJz2Jenh45Byse8l6l6yLiGhpZI4s2so11k3kP+tj4oeFXDmmWrq5UPAk6uHh0eHQ6taQJ8Ka8xw/++yzYMaMGUFDQ4NdZwnvRx55JPjuu+/sv+7rSHgS9fDwKArIqly0aFGw+eabB5FIJJg+fbrtS8ZeY+uuu65tZfXiiy/afmUPPvig+Re0BH2h4UnUw8Ojw4HVKaty4cKFwU477RQcd9xx9h+wieTZZ59t52wkw6aMBx10kO1AevXVVwc77LCDbXbIbqvs46FtEwoBT6IeHh5FhaamJtvN949//KP9hxBvvvnm4J577mndlu7OO+8MHnjgAdtc9cMPPzQ3dvLdddddg/nz59v/QsGTqAMSq6OqBB4eqxLCliKdR1ijuGnLQvxgVeIu6xJrVRYr1f+pU6cGP/vZz2wL72nTpgXvvfee7ZHPNW+JZghFNhHt7qhMhFN6cV29fUooJVox9PB5eJQzyJcQJXnNJUKQKP+JAMmjiSCLNBnc/O6Ss/I7789Vvi95EiUyFOGJIvb7779v7dkDlFK4CUpMEllkm6vI9fDwaAF5C+OGvOoaOd98803wzjvvBHfccUcwYcKE4NBDDw2GDx8ejBo1KjjmmGOCcePGBWeccYadn3LKKcHFF18cjB8/Pjj99NODo48+2tpF995772DPPfcMTjvttODuu+8OnnjiCcvnLtwtg0Wq4o32ouRJFNILRwYlDhFPEGmcpn1l7bXXDnr27Blcc801wUknnRT07dvX2lMEEtktHT08PHKPL7/80jqIhg4dGhx//PHBxIkTg6+++ip+dTnI02Fr1c3n5PtkWLBgQTB58mQj3t133z049thjrZdf400h8VwaSiVPohAmEUPp4lqVl1xyiSWS/lNizZw50/4TyTU1NdZYzTUs1blz59rYMxIqWRXCw8MjOcg7EJWaypQfyXfbbrttcNZZZwXPPvtsa42R6/jjnrAhlGvQ43/VVVcF/fv3N8MKMgeEwa19fvvtt/Y/Ew4oK0uUD1cJNWXKFLNAAdexTGfPnm3/Ic0RI0YEc+bMsUi87rrrgiFDhgRvvPHGConv4eGRPiAijBJAdfqQQw4Jhg0bFsybN8/clK84ikjJr7onXyBPa/C+uOKWW24Jdt55Z+vh5/24Exa1m4pH0kFJk6giBBBBlGgcXbiR4SYYCUmEgVdffTXYf//9bSCvh4dH9nj99deNOGnLVDskeVIWHnkWAnXzqYgrHyC/8z5qmaq1Kt8D8v5ee+0V3HvvvXGX5WSfLoqaRIloShA+nCOREW7LIGFUhQDco0hQQukeEajgEiyJiLilZKmAMDOn2FVMzqWYfA/nxIMbh26h4lF8UPpwJD1JOxET6UkHqdKSa+QR3OU/X9A7gPLK0qVLjYwwRqgqy0jBL+EqRrh5nTGpffr0sdlQyhPinbZQEpaoSwiADw9/IMr08ssvWwlI++e+++5rsx4YPzZ27FhL3JEjRwaHHXZYcOKJJwbPPfdcsGzZsvjdy4lGUkpQRqLBvkuXLtZrySyOK6+80jrSnnnmGYsr4oxvwz+9ohzzmdk8cgfSjbS64YYbYlmuU3DqqadaOz61J5ql3nzzTSMy/JDW+UhXniljBQLS/HXaPKPRqBERfkRMhJnzfIQlVyBsCh98wGB98kw4zPxPxgtFb4mqxAMkiPufxmKUaYsttjACcYc1uJHAx7v3AUiEexhOAek8//zz5o6SuOZ+KeHMM88MKioqrP33/PPPtwb08847L2hsbGxVbJRfpMsxmWJ4dDwgw7Du3n///Uaiu+22W3DFFVfYLB3SGkIV8kmihMV99mOPPWZhoT9BcAtn8pJr7BQbsOYJn+IYQ2P06NHBOeecY+7klzBwV34CRW+JkhgEmOqqAs60LoYuQBDuxwOUTuepwHPdCGLmAz2If/jDH+w/z+V9PA+/HU02KCPhEcHzjTpXHPz+978PNt54Y5u1IbiJjXKnEzcexQPST4TEEStp/fXXD1566SVzC8P1Lx3hP4KeqADNFsoTACuYhUEmTZpk/3mfrrnhKBUQdoTvuPDCC81AE+SuuHRR9CTqAgWgx32PPfawsWXtSSRXmTgXIVG6s9jBxx9/bP8B72mv8uUCCgeJSWlIwrokedttt1nCf/HFF/Yf//ouj9IDaS1SEpg/fsIJJ5gOJAPpjtERTnt0xdWXbKB8wHMY/E5zmf6XGgizG49ufL///vu2khQdT8RjIotUKBlLFDAjAQLlg2R9Af7jT8B/OuQRJiGB8Ww0krNCDBAZcXTfU0i47yXchIejSkfiw81wiUYqeJQetAgxQg93NiB/uFXqXOjF008/bbOKNFAeAhLBlhLIP4kKJPIXVfrDDz/c/uMHriDuJEJRkygBFRk++uijVjLQSQISfXgY+vBssOOOO9r0smIBs6so9ZlAQNMDi9W6gERTlZYepQd0Hx128wH/XUIEbrpDuoyHPvnkk22oEZNO8qEXvIOO2o4AZO0aUdkiEfETzyJIOsqY5aiB+clQ9JaowOB5lQqgLdJA2ZBXXnnF1hqkw4VFXSFiCPLXv/51sN122wUHHHBAsP3229sCsLjRo9+vX7+gW7duwS9+8Ytgww03tEG5+GNeL9V9lAeLGMGddQz32Wcfa6el95/pZnRWIUceeaTdR2M1owTca8hRRx0VHHHEETaigHDS0XXggQfaQGXu4Zu5h+dyvsEGG8SinKhvEfx5eNAOTger9IJRGugN89HRL3SWkSt0Nrp6iF5JT6W7+Hf1jmvSV9zQ97q6umCdddYxN6r1+Oc++UMyebb8kh9cvxLyKgUDnckCZJdP65dFn+EE+mBkkHEMo2RIlNWtN91002DWrFkrmNLJoI9lqhdmuZDOvYBFX2lcDqOjrD0GMaP8kLi7gIrHqglZY8ky9pIlS6zDB2tKQ5FyCUazjBkzJuG78wE6fC+99FKztIEINN38nA3YloTCR7WAkiRRIkgfAChJaaukfQgFSicB77rrLhsvqWo9z+N+nk2CJCrJ6KAZOHCgLfaKP0l7CJT3pCo1+Rb3WwXeqbZO7udcz+G8o0jdo3iBrqIjrk6hJ7nUFYZUDRgwwJqWCgEKBIiUoYnKEzRr8K35AAUPY8upYQLemSz/lgyJKrJYCosqN/PfcYMcRYyC3Fzg5vpx4fqn55NltRh4i3/eoXDo3MNjVYXyAKQCqTGpxXUvNGQcZQs3zJzreWyIR7Me7aEy1jhyPfydJUGikJlbCmAh0k7JYHlWZBJkWWKlQoKJiFPPVMO0Igjrk5KVVWYEDSPiHpXs4UZ9D49VCco/AKtwv/32s3bNfIOJNDJsgBuO9oICQTwAPv/8c5sCyq6iAvk/mSVf1CQKiDTIkQ8g4vhYzR/G5KbhfPDgwTb8iXaacHshi7QyBdIFRPjuu+/avazmhFDygDDpenh4LAd50LXGGHbFep0sK5lP0BdApxOz71y0xxIVEYsc+c/UWVZ004IkMppknME/YY4oehJtC7IoAVutMqPj3HPPtYRlxWt61zt37myzPLbaaitLCKohLIGVqIOGCE1W4nh4rOqAaMK1MYiMTibmnTNJRSSrGl8uanBMsmGUS3Nzs/13830qYC0THtVkIUBZlRIZZcwC6969uw2wzwQlT6Ikjmvih0sJt+SQAvBfg9ERRbLEw8MjMUSOgHzDOW6AscybbbaZWY0CtUj8tRfsAErNU+8Swvk9GeABGU3cgyiv0yTIECpqpoKINR2UhSVKBBEhbgS7pQ9I5E8RKXfA0VuiHh7ZA4uOMauXXXaZ5bt0iS4d6HnpWqLkdQwnjnAClqlA8x9tn4xDpRoPXH5IFyVPogJEGAaRQelIFUPXKWFEklzPZQJ7eKwKCOc18pBIimuy4ujZZpgQfQ7hBVMgNpGbrFnEtQAhNJElQ6kYtynrl3dynsjg4bnyJ+NIYcYaxeLceuutrVkv2bdkwgtlQ6LJQGlILz6RImvUw8Mjv4DIyGuQGWDmIAPXIVXWRHX7IyBC/APlU+5zrU0mzbCND24Qo0gOwqPJQMYR94UJEAKn45kl+2hbdZsjcoGyJ1GmizJQ1y2xPJF6eOQekBcCQZLHZFmGiY3hSnTsUo2mJ5xhUnfeeWfw9ttv24ImzLYK59GHH344uPzyyxN2BuOfXnvuZ71Vxnpj/TJqByPqgw8+iPtsyfsQMXzgknR7UPYk6oJIC5dSHh4e+UfYskwE2ivZM55ZhpAfW5uz0DgjbVjvgvZLJtqwehREiXXJ/vMMY3zttdcSEmwYItFcoqxJ1CVMlWxub6KHh0dpQG2bgOp7MRlDZUuiau+48cYbbciFS5yeSD08SgvXXnutrZ2h3nXyb7Hk47K2RAGD7zH51eiMRUo7jSdRD4/iA/lTHT9u7zxrZrBYOmNF8VNM+besSZTIZqESGp1JDFXpSRxPoh4epQNmKjGWk3xM3qU6j1XqLdE8Qr1vWJ/qmaeE47/Gp3l4eBQ/UuVVWa0dibIlUVmd77zzju3JDSBQT54eHqUHFghid1GNJyUfFwOBgrIlUYEVnFiQRL17nkg9PEoP7DJBu6hmI2EkFUvfRtmTKLMc2I/dHWzvO5Y8PEoLbHPCgHzybrGhbEmUkgpxyRIi9YPtPTxKD5CnmuioxpOPydvu+NGOQllbokSwG8mqBnh4eJQu1CSHuDXMjkJZkyhgpRb23nbJlJLMV+c9PEoHTJhhgXXmxwPyr+9YKhBoE2WmA6UXQ56KoeTy8PDIDKzitPnmm9v++oB8TJ4uBpQ9iTLEif2UBHr3fLuoh0dpYfHixbY+KfPm1SSHNaohTx2JsiVRiFKRLQtUVfhwh5OHh0fxgvxKfnY7lzgWS0992VuirE+ozbMgU2+FeniUHtjGmMWVIc5iq02WLYmq7XP8+PG27iCWJxFfbMtoeXh4tI2LLrooqKqqCl5//fW4S0t13vfOFwC33XabzXRgNW1fhffwKE3cc889tjgz26KDYmgLFcraEk0U0WpT8fDwKB3IANIWzNQmcSuG/Fz2liggohG1iUKu3ir18ChNkHe9JVoAiDjvuOMOaxfV/iu4kQg0UHOEVNVzj3AdNwbyUuJpYL7cgGvlyr97rl5D7scf/iFwwH89F79uWPR+/Mo/wA3hOvdyrvs5B3qW+0zO8a/r+HXv0TcC9/n4kb9EYeFaOMzuc/Wf58tNkD+OvCt8v/4jijcW4tVkCfkFhEF+dR9HrnOfW1jqGhKOE8BRz5VfkInfZMCv/LjnHPlGkOz5iiMkUVikXyCsU4B7cAfEieJRaZPKr9I9U78Kp3SEe+WX9yfyC/Cn66wd6n4nK9v37ds3eP/99+0/17799lt7fkej7C1RZixFo9Fgzpw5cZeVQUKhiCSom6iFBu8WOQOUyQ0PCobyKCMArotsOOcoxUPBpLAAd/xIBJSZ54ahZwuETc8WwuFRPLogHLzDVfjws/VtwA0z4D78c+SecBgAbm7ctQduWJLFtyC/hE3n8h/2mwyE3X3HqgziD/INxweGUGVlZTB37lz7T3yjJ65OdRTKlkRRXhKC3rzp06cHH374oW0TstVWWwUDBgywmUyffPKJJRqrZtPxxDn3IZwrQ6DknHMUWZHQIh/84KZ70hH3uQjP1UrdPIvrnCOUuFwnXLQJYZnhF3+4E3788J8wsZo/fvjPPVjhiMKMcI4/7oN82HZ22bJl9lyu4c67uMbOAAsWLLD38ByFgQHQel5TU5P5417OiU/8ucLzFy5caFYG/tz4EHAHigfCOGbMmGDgwIHBiy++aNcErisTEZeEjzApPfkmwsI34cb7XcFd51wnXJzr6N5HfPBMRH44x51zvZNzhPfqXrnrSDzpmXKXP468FyGu8MswPd2nLYUVjxz5Zs4ZjK504Jz345dzrtMpg8gv/vAvv8R1Jn7RCdcv7oSPa5zLL/fKL2ElzK5fnov7F198YfLqq68GN998s217jAHEXvWjR4+2PeOJM4DOAaV/R6KsLVGV8Pfee28waNCgoEuXLrHgdgq23Xbb4Prrr7eee/ayhlAnTpxo27RyTtWBuboTJkxIKKmu5VN4ryTsFr7uujFlju9ivymOfHPYb6GEMDFchTAx7o+MBYmSTiJTMgjnZBAKwYMPPjh45ZVX7JqAH9IX4A9yJzOSQanyPfjgg/au8LeycSG1E9KfMHCO26RJkyzjPvTQQ7b4L/9vvfXW4Pnnnw8effRR83fffffZlr7Tpk2z50+ePNmai5jPTYEMybN17/z5840MIAZqQFOnTrVnzJgxI5g9e7btoX777bdbGHDj/5QpU2zrX8KCHmJ5zZw5M3jmmWcsDMQVCxMjTH3kfYx/RiAjxlFyjjtxoOu4c931S9hcv59++mlKv3xPIr/8l18IU375z7XPPvvMzjmG/UKq8st7SDPii+fjlzjr3bt3sOaaawb9+/cPjjvuOItfkaZItBhQ9pYollS4mkcioaAkphIF//grhpKt3EFcy7ImjVxgiZIGCJYm17HKIFXucf3jR/5d6P6weyok85/JM8LINAzpgIKDeCk3kL7kP76PQoLCxyVKCsmPPvrIakDoDfHKPZx3NMqWRGWlYGH+6le/CmbNmmX/yYiKfBIChSymUm1VgoiUo0sMpEeYfLiuNOUe0jAMZcT2koyeLx1xMyvP1vPdcOAvmR7hj7DLfzK/7rMF+XXjg+cQZy7CYXELG71byNYvcP3iHvarNAL4Vbjb8pvoOwXuZf0LqvXUTPiPP8R9ZkehbElUuOmmm4KePXtaFU0JlEzZSVQ3YT06HuHM5wL3RJmuI5EqvGGIBML3QKSrmh7q+11iJA5UqFBr3HvvvYOXX37Z/uPPJfSORNmTqECkK8ORMDr38PAoblC7cA0fdUoWC8qWRN1SzK0uulUMDw+P4ke4uQcSJX+XlSX6n9raH+OpqXu39RbVVtQ3dK/YqrEuMiT2sOE8tLm2akyhSZQqQbhDSfAk6uFResAadZs5sEaTNc0VEiJReC5OosPhP3gQPoQX4Ud4MimJBvX1qzd1775WQ33kfxt7VEVjD9q8ubZyYOyhezZFq0Y21kbGxFj6YF501FFHBYcddpgNWzn00EODsWPHBoccckgwatQo+4875168ePFSzAKPMYY5boUeDM/Bd/Ce8V+MB+FDeBF+hCeTkWjn13r3/lHQu8saC6Ndfrmse6SyoS6ycVNNZJummspdY4y8d0Nd5YGw9NI4kcLcXrx48VLqAp/Ba/AbPAffwXvwHzwIH8KL8KPxZIwvVyBRECdSq9I319b+tLFHRRfYN8bIfZqi1ds3RSuH0UZgDG1kGhkNY/NSayv14sWLlxIT4y/jschoeM1q3MZzlcNaeK+qDzwIH8KLCavyAo7jYNcBA34YRCL/9Vkk8nMj0urquthLftMQrd66ua5qBxpal0QjuzXXVe8RC8BvaTdY6ggB8OLFi5dilRBfDYfH4DN4DX6D5+A7eM/4L8aD8CG8CD8aTyYiUSAifWpApx/CuA319Wt+U991bRpUl0UrqpqikR5LolW9mmoqesdetNmSmsiWNLo2RCv60oPlxYsXL6Ui8Bb8BY/BZ/Ca8VuM54zvYrwH/8GD8CG8mJJAXeApJi1WaX396gu6dv0JD4KNv+qx3i8WV1ev29LI2m09hK5/L168eCk1EYfBZ/Aa/AbPwXfwnnUiwYPpkmcYcTJtIdROnVaDiWlUfZcHx2RejJ1haISxU168ePFSKiLugsfgM3gNfoPn4Ls47xkHxikxd9CDvXjx4qWcJE5xGaBTp/8H/lmcHVE8+sgAAAAASUVORK5CYII=)
According to our question;
m1 =
;
m2 =
;
R = 10 cm =
= 0.1 m (1 m = 100 cm).
F = ![](data:image/png;base64,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)
⇒ F = ![](data:image/png;base64,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)
⇒ F = ![](data:image/png;base64,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)
⇒ F = ![](data:image/png;base64,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)
Hence force between two spherical balls is 6.67 x 10-7 N
Question 15.Find the free-fall acceleration of an object on the surface of the moon, if the radius of the moon and its mass are 1740 km and 7.4 x 1022 kg respectively. Compare this value with free-fall acceleration of a body on the surface of the earth.
Answer:According to the question given data is;
Mass of the moon (M) = 7.4 x 1022 Kg;
Radius of moon (R) = 1740 km = 1740 x 103 m (1km = 1000m).
Now;
Acceleration due to gravity (g) = ![](data:image/png;base64,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)
⇒ g = ![](data:image/png;base64,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)
⇒ g = ![](data:image/png;base64,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)
⇒ g = ![](data:image/png;base64,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)
⇒ g = ![](data:image/png;base64,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)
⇒ g = ![](data:image/png;base64,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)
⇒ g = 1.63 m\s2.
Free fall Acceleration at the surface of the moon is 1.63 m\s2
Now;
Acceleration due to gravity on earth age = 9.8 m\s2 .
Acceleration due to gravity on moon gm = 1.63 m\s2 .
![](data:image/png;base64,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)
⇒ ![](data:image/png;base64,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)
ge = 6 gm.
Acceleration due to gravity on the moon is one-sixth of Acceleration due to gravity on earth.
Question 16.Can you think of two particles which do not exert a gravitational force on each other?
Answer:No, we cannot find any two particles which do not exert a gravitational force on each other. Because according to Newton's universal law of gravitation everybody can exert a gravitational force on another body. Hence there are no two bodies which do not exert a gravitational force on each other. If there would have been any such body than it would have violated the Newton's universal law of gravitation.
Question 17.An apple falls from a tree. An insect in the apple finds that the earth is falling towards it with an acceleration g. Who exerts the force needed to accelerate the earth with this acceleration?
Answer:According to Newton’s law ‘every action has an equal reaction but in opposite direction’. Therefore the apple applies gravitational force on earth which is equal to the force applied
By the earth apple. But the acceleration of earth due to the force of apple is very small. It is negligible due to the large mass of the earth.
The figure below depicts the more.
![](data:image/png;base64,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)
Question 18.A scooter weighing 150kg together with its rider moving at 36 km/hr is to take a turn of radius 30 m. What force on the scooter towards the center is needed to make the turn possible? Who or what provides this?
Answer:According to the question;
Radius of circular path (r) = 30 m;
Velocity of scooter (v) = 36 km/hr;
=
m/s;
= 10 m/s.
Mass of scooter (m) = 150 kg;
For making the turn possible the scooter needs force equal to the centripetal force which is given by;
F = ![](data:image/png;base64,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)
⇒ F = ![](data:image/png;base64,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)
⇒ F = 5 x 10 x 10 = 500 N.
The force required is 500 N and it is provided by the normal reaction between the ground and the scooter.
Question 19.The bob of a simple pendulum of length 1 m has mass 100g and a speed of 1.4 m/s at the lowest point in its path. Find the tension in the string at this moment.
Answer:According to the question;
Length of pendulum (l) = 1 m;
Mass of pendulum (m) = 100g = ![](data:image/png;base64,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)
Velocity at lowest point (v) = 1.4 m/s.
![](data:image/png;base64,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)
Now;
The Tension in the string is equal to the sum of force in the circular path (centripetal force) and gravitational force..
⇒ Tension T = Centripetal force + gravitational force.
⇒ T =
+ mg
⇒ T =
+ 0.1 × 9.8.
(Length of string(l) = radius of circle in which bob of pendulum moves (r))
⇒ T = 0.196 + 0.98
⇒ T = 1.176 N.
The tension in the string is 1.176 N.
Question 20.How can you find the center of gravity of an India map made of steel? Explain.
Answer:The map of India is irregular in shape its center of gravity can be found out in following way
1. Take the map and make three holes along its edge.
2. Suspend the map freely from one hole by using the thread as shown in the figure below.
![](data:image/png;base64,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)
3. Take a plumb bob and suspend it from the same hole.
4. Draw a line along the thread. It indicates the line of weight at that point. As shown in the figure below.
![](data:image/png;base64,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)
5. Repeat the same from remaining holes and draw other two lines of weight.
6. The concurrent point of the three lines is the Center of gravity of the map.
Question 21.Explain some situations where the center of gravity of man lies outside the body.
Answer:Some of the situations where the center of gravity of man lies outside the body are as follows.
i. While doing Yogasanas, if we bend our body in inverted “V” shape. Then the center of gravity may lie out side of the body. The figure below illustrates the point.
![](data:image/png;base64,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)
ii. The athletes while doing the high jump, bend their body as arc. In that situation, the center of gravity may lie outside of the body. The figure below shows the center of gravity of athlete doing the high jump.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVcAAADrCAYAAAGqSeU0AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAMi+SURBVHhe7P0HfFzZcSaKe7373/ff+Ly2FS0NZ0YzlD3r5/Wz1mvLsiwrSyNLozwaTdQkzWhy4Aw5kTki50yABECAAZnIORAgcs4555wBsl59dfs2bje6gQbZIBucLv6K3ei+9/a959T5TlWdOlV/tONo9P4v/MXw/bseHL7/nh/ZIg/dd/f3Bv7mM/9FbnZs964fkI1SoG8A+Xh70sjuXX8pN4u7131nES0tLeneGZKnuxt5enro2Is8PNwpNTlF9+2NkZ+PDzU3NdLAl774P7d0szXVlbp35snJ8ZTmhj3IS/fq4eZGDQ31uqMsJz9fH2oydbPj4xOUdPmyHKSllWXTLWmKpqamDG5We8MqB/j50eTEhO6MjckfLdvctP5m6+pqKSsrUw66UYKIGNygl6e8uru46Y5QaGCgn1pbm3V/mSd/T2dqbDJzsznZGXIQaGFhgdydXHR/Xde9KjQ6Oso9Mab7a40uXrggsqq2okn28CA3Z1eqra3RnUVUUV6me2dIAb6+plu2qq5B37K4kdT0VHmvpYvnIw261cvDUz5vbW2jjo5Oadn+/n7DmwPrWtibB556vl6e+ebTUpXfWllepr7eHqpvqKXmliby8fHmljUhs3W11ZSdnUXXr63KicYUHhq69uMabmlWuhM/ir9ra2poZnqaqqurKD8/n+bm5qi+vpYfzI2vn02jY4Y9srKyQlcLiyg4MJBOHTvBcr8mz748wJqbTdxsTU01tfHTuDm7MDuTh4srxcRFU3d3t5wY4O8vryDlRj2ps6uDysvKqL2jg04Hn5bWmpmZoS985s9pdXWV2lta+bo1LDYj5O7qxi3LLcqtPDs7S/Pz8+Ts4Kh/aJXxsCp5c8+tQ4Nlbn5AS2Zm+rqTweMT47R0jWiCX/E3WhE3PzE+Tteu8RdM7gxP+E5Lf3nfvXQ5LkHer13Pa+1vL+UzVSTqGxrlO5V8vL3Xy2xff8+6gYEL4LOWlmbpVu1FVe7t7dVddu1mQI8/+lt5jboYKa8gH2/lei5OjsxOmut4Sotfv244iEH+PjzAjFu2va2Fv/DSXwA35cUXibpwSXeaQt5ea8eo7O3lTXPzc/L+2PGjuiPNUz2jjqenO3l5e9GeN1+XBzBH3h5e61v24vkLBjegsjkKCgrUd6HCXnT0yOENzzGmxcVFOhtyhtx5fJgjs5NCbm6WQEVgYAB1DYzIwZtRyJkQuUEMGvBGN9vK4qSlWR6IKk1PTeveGRKg0eSkUFtVJQPsRuhrf/8VudHIyAjdJ4bU39eje6dQiwWzF0jRDUzcbF0tT7c5WXLQdtFX/uZ/ymtTo+GoN0cYIzh2/c3W1VBm1tp0aylFhIXq3q2nZm4VlWJiY2hpcU7eNzY2yOtmpEwKJloWk0L2DYgBZqiNqOjqVd27rZPcrMnplls2g6fbrRIUno1ofnZtIKlUVlqie7cxmW9Z1g0y0m9sgFlCi0uLuneWk9mbhSKTnp4mB1lKr7z8Ev3ioR/r/tqcrq2uiC5hKfmaM2ukZTNvTvm2NgENzLRsDQ8w82iQnX+VQiMu0W+eeJGeevIZCvM8SqcdP6IrKVFUlh1PSbEXqLi0jMLOR9Fz724+7VpC/mwCNdTXrL/Z2vp6HmC21bIqmRADRgMLbDBfh4/lNTs2lOoK4qmsrpFKU8NpdXpQPt8O0t/s2P27HsQHNTVVlLWBGNxOGr3vrgfkZgd33/M3o/ff/YSt8uB99zzWt3v3n8vNguiP/ujf2zD/se42dxDhznmAfR2DzBYZ42mcxVRudvS++/772O57ntXJ8Zbp2qrlrqUbodNB/jSy++7H0ah/NH7vvf/38P13P6f7blNSzXJjWl5ZFuVbZdhw3mxjzc2atgC2QhhkW7pZuIssIe3Nai3htrY2vvFZ3VGWEyxekzcbHxstB2iptaVV984yEiNSDEnFHgO7u66Z+K6uLtTYYJnirZLJm83NzdE7LEDGBp4lZOx7gNcar6ura9cF1bPufP264WfmyOTN5uXl6m8W/ifY9yDtA4DgFmpuadH9pVBVVbX4Gb3d125UyyISuhuH58bXz0fv1Jibm2ez3LQCb1YM1JuFfKm0ZKQwa+UQPDyo6AONrBmBurs6pXWVAaY7Dia6zkzX/617j+OcHZxoVdcgJcVXqYl7tIaNV4wTPI9pMcjLkVYzR9ofUN/n5mTLd5NTE/y3chOgLkaNHP6uubmFr7lEx44cFi9kU3MDI8eKHKMSXFDRF6NYtl3WtbDZlu3v7yMPd3c6eOAAK72e0q1oJVzM+ZQDwXkHgoioN9vS2kINLC5jY2Py9+mAIPEgPvHYozQ+Pk5VleUs+02CBPgeLin4tWbnZqmeFSdPIxn3cDf0kOMe1t1sZUU5paWlrw0QnXyB0TUq4Xu1m1vb0GpKT+CiODY8NFz+Bj30w+/L6+DgAF0pyJUGwDHj/GDurq7yHjeu9yTydU3RupsVvylOxKtGpuCPijgXTm4uzsp3us+FNRdPiE+Qz2DgTU9PS/etrF6nc2GhVHr1CmVlZ5DDyZNyYz/6/nfEKaeV3ZAzwborrad1N+uh862CtTekpYkJpauNGeKhdKcn/fbhX+mOXqNyzXoBjsXAwXkfffC+vE5ssHJjUmbVH5YbxVPz69WrRbpTDGl2ZlK+NziH+e03Xycvd2WNQUtaT7aWMjMUs7+1o1NezZHJARYcFER+vr4UFxsrB21GK8trA+2rf/938lpaXqz7do3a21tFvrVkPPWePr22BKAls2iQk8s4a+GsoqWqqgrdTZtoVTbvQd2d7fK6Vdp0UtgqPfLr9XIKgk2n0uXYeHndCMfNkembzc26oZu1hIDNKs3OzW3pd0zebG5u9rbdrJZaW7cmElYTgxkTHkJjUuf9GyWr3ez7e9/VvduY+vv6dO8UqtPI80Zk1QH2wP336t5ZRiVb8CCCzN4sZJa2CF1QVLabTN5sTrZ5NGipyqG9x7zoiWdepX/7qW71MNSXZheWKOpCBCUlRFFychLlFV0lr9OR3CJyiFXItBjcIjTYKplu2ZzNcdYhKJZefHUvffjxETr1/tuUkpJC7310lM55Hqd33/9Qd5R1ybTM3uAMtt2kv9naBx74j2NfvudX+MBm+b67v8c3++/EhcRv/hh3bsOs3KhK+LDvc5/7zxALO2+dR7785f9GLKUGDdv9hS/8p6Hdd31t9P5dT2Gs2fkGePc9z47ed88vx770pS9+rPq+0eKK61YBsO2iqalJammol1g5UwQtIJYNKnd3xRmAkCG94c82cRjb2AVXS9ncXB/6drsItjwIwWLALawpYfRve8PCs2cufnUzunD+vDSwgaPCy1Nnfq85HLzRAW6uVFFVpXcZ3SpSwwWxuLwtDQtpq6uvMRuUc6NUXla61qgqq14cncvJFLu5ulFIYCD19PRw59ZRf/9a7Jk1yc/bW54dC+EWNSwWx2E0ZGRkbKjXNDYovubtouXlFfHVSYNxQxpIr+4zvKrxmnCAZmdlUFxcDAUG+JKrqxM5OyuM708cO6a7snXIW+d8amy0UGIbayukYXP4Jk01bFfnmmequKiQHE8c44tvPZrbHKlukO6ebl0jGgYUooH1PnWVWZKdHR2lESFJMZeiqJZN0olx8y6/gf4+qq+tpeWlG4MQYOyWJLaGhw8aFi4+44atb6ijstJi6uiwzEuBSctDs66kspuriz5CWCXc5Mz0pLxXG+TShYtUWlqiSOsGw3+dNOtY+7n2PaTbnbE5O2t9qNXoyAjV1cFBt7EV6eOjxNUiEtkyKOBJRxpWJ7G1dWvSiEhilSBZWv+Vlk4HndY/hLBmwtFyfLyySKg2sr+/n3yuagThYWH61R85R+c3FtY0tIenChn8O2Y6ANdw48ZU2J1cnB0lkDg2OprKyoqpr6+X5mbnGILWT7ir/JwLczPiBMcOgIqKcnI+6SDCgKBOixq2sq5RYtQnJyekIetqaqmmXsFTNGZ1jeJuBaFhMfQKCvLl767uLonqx0NEREQwTqdTaOhZfcN4eKytBLi7u1FnR4ecp6VzrFrheyzq4LyR4WHK5fvxZCl789WXJPx7ZGSY5hZX5MHMESIOe/r7qbqqkpITE8VPjjB2NSAaQf0GC0Wa5Q0wJDyYBaS3p9ek7Pp666DAUq2gqlJpOJzkIsCvU3NYvfD19CFHh5MGwwocExND4xMTFBcbJ+eqhGtM6LZdFF65oj8+Py9HPtPSDEvL4MAA+Xh58zHKQ54LC6fhIaxfrn80RD+qeKxufMHfpiT2crzixgb5++L6648xyUYrclry9WStgF8R2bthw9bX13FvutCpE8cpKz3dsDfNspcsB2ZmZlBrWyu58zk+DOoYUpBk4w7A31cK8pQ7M0FjY8qeAvXYAIYGY8rLzaX09FSWyFn64mc/RS/94QUaGh6Sxj129IhI9q9++hP6l6/+A53kZ8EWKhD2acm19SqbaXjCAiA6eTNCuDRoU4nt6e6geWz60Vk/YGWZUrkB40aCmnPdSJIgoUk87LTHbcSX49YkCeTNnaF8p4wSH8ZUwBHgYCOqqqjQvTOkBT43MSGO3F1c+Jru9MxTT9KTjz1qsHoK9mAuLCzUnWUZqerWploBdqkcO8I9zj9i3IjGDOyzxKrCCicCNLXnSmcZMa6XwA2A9/jtD97fJ1iN99eumcdRlSoZR03R0NCA7h1Dzcw0uTisbThBp7312qu6b7dO/r6+CsZuphV0s6WCMBv14dQb0DIaoNUo0GQrtLQwTyEhwYbXNcLE99/do38fevas7syNSbssuCldX6VujS4Omp2doUHBcssJG2hAFqtbUKyxApKVmbmh5WUNGgWm6iynE4yPa7uLFI1gaXnzNdPuzi7WYCZpdHiEIsLDRYpMEUxuS8OcLCGoavgpi7UCVY9FZPJ2N6wxLS/OiwFSWHRF94l56mLLbJHNXpUQRlBTvaYKooFx/+DCKwU0qIuOshYhuh9kua+grkYkFnsqbkXDXuffuMIPvhWqrjI9WZUUF5v0crWxxmJtUk1a6NWWQUFttUgsHBq3omGfe/p3undbJ1MGRlNDoxgZZVVr0oud7Z19PRQbsz4c9EbJh/VYkMVQUM92Mhr2VmAstixDL70ZKq/YfMvTEpupqjFhLcKGSpDFJi0wFrGzCHS8boGqczMEM9OUVbVVQgf1mAnpVgnqoTWd4dgDDLJ88lL9selp2y6x2HlofbpO1TWGvmKY0FPTm4fvbIWgwQBjkRTAYom9FRiLoXnXZz7FZqxlcfm2Rv6YvPjVYq0A3q3cnCzG2K2Hy81MDFN8fDyNjit+VVD/4ABVVK93hGN3RVuP6cVFEDJAzK9YFxetSXpH95aggDE2K3vrk1dH/VVaXFHO+fjAMXryhTfptVdfoY+OuJLzoQ/k8/zEc+Rw+EN+VfaQ9zaV08mjx2mkvZZteF8qzk3lRl2k2pYuOn85gw4dc6GEjAK6lLa1+K9bQaoxYlHDVtfVCxRkZty8VlBRlE3V9a30ve98h9Deve0NlJyUTNUl+VTV0Coma2N9HePCMndoA+15/gm6kpdPy/MztGy0QcSWyUKJVTAW2yythbFqz3o6HKIPPjqs1wPgYFG/U18rCjOprnP79pRuB61r2KEHHvivg/ff8x1Ec+iOkb0hwadPU2razeWp+iTRyH33/HboS1+6jxtWiYThN/8Oqc/G/+ruXf333fUAWt3OljM2KQ//5T27p++771P0jW/8B2lUO20jQWIRKYeIOeCtnbfOiNTUY6tKAgO77/kbZEPEfmZlIrOz5Sxt9nVku9Q3LkIOEXqIEERMXtAM7Lx1RggsQmEREisNixZGGkzZyH4b6FZHB1qTELOAJFmngwIIiQqQ8hRJC/QNKzMb62C647eFrrFpijWm+vp6Wlk2nTRoeHCIHB1PymopVlOxLKOwsgR+OTGR2tgm3yyT0q0i7FrL1qUAUiT3nh8Bb29Nw7LC39nZpfvDMrpaVCgRMupioiEr62FYnj8bEkIVFZVWcDjeGEFi4a8G3dKGHR4eMundt4SQIgABa8Yrxab+dnNxouioKOrp2VoH3iyhYRE+Bdr2hr22el2SlyIf7s0SXJfaRlT3vKMxTS3NoyMy0jNkWcl4h+F2kEBBhpJZadsadm52iht0ayk/NiP4DVxYGo0b0FQ0odrQeAUuI6IbkZIDAwNUWV5iNiLyZggSm7nVhk1OSqSY6GjqaN94KCMZXHv7jW3wtoQCAtYiaPRSui7gzUiSNeGi+NvVyZlSU1MsTrJoKc0IFGyhYSEpiYmXZc1ro2SNyyurND215szeDkLwhdpw0lAirWt/6z93ZUl1Yw3C1YVSU5IoPPQsQwfiX53JycmRJZjx2tuLcqyYFA1Bc3CrgiyWWDRsji4SxhQhkc7UpPkQdGvRudCwdY1ojiGdYWHmw5EwdJGhqLKyYl2OhxshTLBbbNjrdPlyorKYqJv1jKlTFya/sLBIgb4+FBRoOvnEjZA2ITcCjw0aTwsDxpDA2Op48hS5ebhRSHAQ5WTlUgdrJYtmAveAu0h33rvJyq45mmWJ3RIUgBITEwQKsnQ9oiU1+Ay5VZBaR6V5nsA2IkhMd1ePpE03Z3FhCRuOdcARkszExUaTmy4XjB5DVTYKvTf4TvMZIhvF0GDd2NXZiS5diqTZGUOJxaJmKxsfXV1dFuvFirq1FYxlRsOqq7RampxWGu+pxx6TV0soPi5OwtPV0E1EjwA3EVBmTC0tLbSsW7BISU6mCYab1ZUlcjh5wqDBhE1grblAYpW1je/m4kKnAwOoz0g1Q8fK4uDokO4T0zS/Va0ADZskGMsSqwN7DBtEe4MQFq5drjG3dANd1s1FybFk6sHAxo3rdNJJNr0pG0iuidaBhc2w0DN8vC4KUQMBpqR0w8bVT3660H8dw9JDDh9tDj9EJQ6ymd3ehiIF7YzPdRKDW1XD8NHXI4HQW7a8MHnJYiJrBRji2qHbrElkPTJiOh358MjwBmapwngw6Kmr3HjIcQJY6ezs0H+P4evr4035uXl0OiBA/taeD0YGexUSTH2v8NouG9wTdsw4uTjKjhkPhpkzwcGUmpEmSYwgDMiNZSwsWJdDG8zNTIk1WVlZScXFV1nL2ErD6tQthBdlZ2dSiZl0UeYIExrqYOBBVKmQVxOS5OLizNrFpDyMSmd1OeH1apa7kuhrldW7ocFBHqZNdJUfKpPvrYpn+OHhQVnNxWx/Lvys7B87GxzCungSlZWWiRSiDIE5Ap6jUxsb6mWEno+MJF8vL1HVIFjA304TqayAseocZBkUMBYAYzPSlBBO/Gg+S6/aiwh9b29fy9hXWVVFTg4n9dYNNu6iQZBkP5kV89j4OBnyamMabEdi/VJdmVUJkdXq92DswUJarEsXI2nv22+zsp8s+74mJ6fknozPVwmJ9FBsoqOjlQry8yg0LJT1XDfZioTKAYLzjPem4ET9zMMdlTRmqbt3vYksDbtVKEBRFJDDqZPkylKFXTQoGIEb8+GGG2ZTEdID6UDv4kdQyqOhrkFuqKykVM7XUkF+vsHNn+ffQBAb6pRUVJVTS3Mj9fIDYE+V9rjxsVH653/8P/QXn/4z+vyn/lTqRiwuzEpRlZraOqpi3GthKc7nOWGaGxv588QgkPPXYKKLOwM7eXCv0GODA0/LtgBVpdM3sDqy+BWfVWDTiInO23LDTjPOzOuGZmFBvv4H4eTw9/eX4evOkxI+B8M5gu+WGIN82bqZZRzS0iRbZ+pQ1+9U4Qc1Jgw5jIaK8nI9XuIVJrN2N6SWUEBJJbUy09lgwx2RXtgu5enObaOMOGCkFo/1DWrE+Byq3vCQ6d06W2pYFJXBDZYUFvLQO69snjOzVVPLuFEMyaUlQyf02TOYzXGMsp9APf5KUQENsMQvL82vG86IPtRflxtkygQ+Dg0N0mf/7E9E97xSoESCqylaYdqq56vsypMkqKmpQTZkGH9vioMCA/XwZ4pmWOottrwOHfiQh4ezbLPRb2e3gIGVuAk8ABoQE4Hx0Nfywrx5kzIgwN/g2CGj/V2Q3rfeeJ3Vwuv04+9/j3Z9/rNsTExRbVW1WFJHDx2gI4cP0Xe+8c/0m1/8TK6B/QyTE5MaTUVpXFVaZeRptIdk1qE3I5FYSxu2rLRUfhw7o7U/qv6glvH5ufBw/oF5ysnOZulpkHBGc8fqZ3kdX4g8z79oiF2YALWSDW7XedigLWCmV6mU7/XIwQOy35ftYJqYmafBgX4KZ50X2+td2QAQHy5LMIyTnz74IP+98VZP/DZKQFlC8MdaJLGYfEBnQkKkIcw1qJZNlRWBROE7OV8HI+au5eXhIbO7SlgTW/teOTc9LU0myo3pOs2ayDmAjgK0nQkJFpPW6dQp+uZX/5EcHZQqetr7QhDx8hbSrEBiMy3BWBTfGh4ZlRpr6G31B/VshLXAv0XWWc1RQlKCNJz+HEgPrsFs3NDqVss1TFb4u9/6JhVbWBNmgbUFU3T06BF59fXz5Wsqz4DM59/75r8q98H3FRUdJcdshaRhLTVpsavb0yABrq4x+UaMFfwLERjKmxPq3bmruqs07vpr4QEjI87pjlOw7pFf/VJ+vyDfsm1KcNqYIq3xEXXpgkYV86JX/vAHam29sV2WilZgQcPCZMOys/aBVdbiHm4KPb7RjGmKysrK+HzddYwa1oD5O+it8AkAG5ss9PxvxT/c29dLYaGhkv1jniX9qd8+ovvGclIk1sLJ68xpoz2uzMbDFsPVnLVjCdWzUq/OzpBI4+u/+Nyz/LrWkdCrLSFTpSjNUd/AoIFg4HlWV5Zp1UxxRlO0JSgAYVt9SNBp8mdMgmQiWCI09CwVXLlC11atF7lSVVkpE4q2YQ/v30+HeaZX/0bmfEsJadxhBKSwybsRNem8dKbovXff0b3bnLbcsOg9WfPKydRjyHZSfFysHmqOHzsur2pjx8crRSM3omt8vw2sTYAuXbxAFayGmaPGxrVqbjdLaNgtRcKgYZHIAf7Y7Kztq0+mJUwwH33wgbj0tA2rqoDmaHF5VUxplaIuXNS9W0/alFbWIOixWVuRWJAszeTB0a30yK0gSACou7dXNkhvhpnXrq1QY51hkcOUpGQD/FdrZeDapSUlBt/dLKFs5dZXaS8nyppXZvr2QwFoZHhwS+VY0FCm1s2w+jA9rZjLWL/at+ctea+SOcf8jRDuIT1VKeJnYcNilVa3mHgLMBZ07Ohh3TvLCJ4wU1GH+DwtZc3sVQmSamm9UUtJoEC3Jmhxw6Ywxsp2JBNZ1KxNeGhPd1fdX5YTHOKmctLAMTKiywODhUiVYMG130TKFWOCxG5ZK8DkpUjs9k9eI8Mj1NN1YxMLdFE4xo0p4nyE1GVRCT4DLEqmJiVZLb5WadgtagWJl+OVhk3ffomdvskd2dCtkR5vI0JqAKwsWJMs9m7JEUyYN/WxW7cACl549mnduxunOTMrDFqqqDSd6uRGCRKbo2sfizEWUKBu+dxuQgfeLDVYEEKKkWhcquxmaMtQALqsi4TJSt9+Pfbgx9apoNDS2KhfKTZHDRuYs1slCTzO3ILEGk5e2yuxWKI+zxONtYhvnRo2SBA8qYk1u1mCxG7N8sLkpY/d2l6MXVlZtth7tRUaHxsxyNqBya29pZWsmVICDbu1XTO6ht1udQtetL//27+h//P//o3kgt0O6uzspIqKsg0ryN0oYZV2y3sQVIxFiM120pGD++nHP/ye7q+dRUixusUQIx3G5iBUfnsxFgFxC2Yqk9o6CcZuafJivhnLKzM1iZLTlKKlIOxKnJocpmUT+buQzBcTjjnCcrbckA0SGnZrEd06iQUUqCduhV57/V26GBpM1cUZ5ON6ijITL1BxXobkgaloG5Tru/qdoWNOnvTy+458xnXad+AkBUTE03sfHaA33niLfvKTX9NjT71Ij/z6t+R49CAFertR4NG3qL1zewpF3AjNzS9QWoqSgWQLDQvLK1tWWLdKbl6B8nopyJWcDrxPbY1VdPlyDK1eW6S8amXvwkeHjlF4fDZ5n1GKdb7//nt0+mIK7duzh06ccqKDJzzpMOu3xz98i6KC3cnV8RSFe52UY22OuL0sxFgNFNyiFYSdThZjLNSt7JxsyrDC5BUeFk5VeYmUmqfkzIoMC6Wm1i6KuniJinLTKKughJo6+6m8tJyuXrlKr+w7QcOTs1SQv3n+WFshCyVW4ytIu7mGjQ1Shm9YeDhNL67SYGcjzfLrmchYyqnooD+89hb9/vFHyOXgHopOzacT7mfIPSKLXv39M9TcbT6DnK2RZRjLlJgQr0xeVtBjV1ZWBV5Ai/Mz9OEHH1BzR5+MDOO0zuhUbOj48KOPdZ/sDDLZsEhvZCyxgAKs0m63gXCnEBoW+XS0DfvHSMKFZFy6Y4SyWRsICvCTjRd22pyQTwdJ4ZAcTm3Yf9e3e/efo5Tm4H33PAbJtfPWGaVSB3ff8zcomyoNC0J2M2Q5Q7YzwAIw186WM7LrIcse0mxBUHXNqhA+ACwwm6q1aufNWclnuBHxQWoj2xvazreaVbkzHPnGhAMAtYAJwC0gA5AL+LDDrp23myFjkDXIHGQPMihTFsvkOuHFB1ASoHRBYYDiJcqDXfmy8y1myJzU+Ifyz7IImYRsGggt//HHMBdgfsF0gAmmzSltJzttByEsNC87m4JDTkuGpNDQEIq6dFFMWMigmLEsk5BNyKhOXEVg/z0cB4BlOBEg6XAo6K6742l1dVlyLCJ5BPbZ1tfVSNRhfVOjbONva8Vrk2xVxbYn7GUA47PysjLKysii5MtJlBAbQzFR0RQfE0eJCYmUlpxCBXkFVFFWSk0NtZIeAAWKsf1V78qzk1nCeiH2LsdymyLTFNIpJMYniDMLMiiyyDIJ2YSM6sR1TWChS8CduFMFFlX9GurqqLyiglrbW2h2bla8nzdLEMSzPPqxmVGtPqjsGt1g/x8zNgF5u7vwOcomSOTujYuNlVQMiIm2pIbnnUyIdUHxPkRoqf0E0FAFFrIImbzjBBaBQ+WVFbcE1MZGRyjkTJCk4DElpBux8d5LMBIXOJ5yolMnT0hmMqQEwlT5SSAIrJ+3j0Fk4B0nsMtLy9Ta2sbTep0kL0CirttBU9NTkn4EKItkM8aCaIqVtE3YeolzFHRWhVgrzK6M5AE+fpSSmERlZSXU2FTPKN8leQnvJIJK4MPPi02EKtagsO+OFVjsasFGuKrqSslYvLJq/WzFN0OIGg8LPauvOC2Ct1FCIuOsoWBt5hF9geM1lsEgKWTcZLc9SssChbHJsLKiXDLqTU2O70j1ApHwPj5eEr6mVwnYrrC6wGLXz/TMnKCMNXRElWamJyXPeU9XF6Gw/E6ggf5eNhwYNVm3NS56b4CeJpKJCG+SB8Pk5zpGVhk3Zyc6HRBEVwquSMz2OKssLSzMMCa3ktbmdpAYXV7ekhZSFSMrC+x1qq2poSRdDmQlVC6DMm+iePXS4iLV1zfQrC4b7U4jIBvqNK8ldNEgpgWsIOv6zxX24u89yd3VWdLJIQEicuSv/YanJHTR/hbeo74JsjYiVdKF8+fNZsi53aQIrJfEwqvA12RtHRYIqG5VlKDZzDTZC7pVgcV0ilykyEO1k2l5eYUiWGCRoNGskDJS4jvj7318TCOoepz6iqTnyOtqSNelDZF0HKrT2PiYVIq/yipDVMwl8vH1llR9J48fp4vnI2xSZYDAovy0bOlUEdaaAotRUFHXIBHeQFgwkkNsqcLy9WvU2NhI/TyV3gkEV1qgv58grFYojYVzq4zMTsh0ejYkWPTUmZnpm/YerFy7Llmcu7vaxB9dU1VJfQN9t80rAYFFkWQ1HQHI6ioBHO4KwmZLZGcGw3lWhmUqwcTEpDjjsXEGBHRFEOPDP3+I9rz1BoWHh9PFCxfI1cmRnn/maX4fKQJuCzQ2OspGTgXVVFdQbXkJVVdXUzPrimkpyeTgcMpIQDfWPfVsTqdl9tDkGTK4NgaGjjFIkKXbxdGRnB0dWHVwIX8/P0bU81SQmyeelM6eXslRtB6hDUkyDTBK19TVsJFbTb29XeJ22k6C0QWE3TaBBcJW11RT4mUFYZVQZEZYVpo3E1jssx7nTgcV5OXQk48/TtVV5fK3tQj3B58s/HpIo4tE10gw5Q7jhNHK2cGJO9iFfL29KS09VZKdWEJI+9vNhqAxaZ8ZWb8jI8P1gqQIGOugrJ9KfRGdIOoFzwQbo7L2b+PvjD9XXk2719RjUE5O0n+6uUnVnqtXi1iVGN+w7wAu0IFbWlupjAdqV/8wrSxbLyeJt7unuLVUamyyskqA+ifqVnCgbDqjKzbpm3po6FjdPMKroauyUQVEPXn0iKgE1iK4upA1B+ne17IHK4Kh7eS194ZCA5dULaOKOcJ0iRoF1VUV1NTQQF2d7VTXWCsp5kpKSqXwY2HhFW6XSjn+SkE++fkH8LVVodWxhcJqcM9Gxpj+O/21TF1z7TPttYzZ4Hf4HFT+cGZDLdDPXzbzIYvmRoKMvu3p6hbVootVFtQw34iu8Uy5snKNhXRWZiu4KRu4DQEmWoG1rh+WBRYqQXJKEmXnKjos9tZmpq0hLFxdNbW167K+Q9jRsTAOtITP6+tr6XRQIM0vWO7KGhoaknPW0MwyhlWtvIcFrrx34c4qKirmZ1hz0a3w87S1tguyBvr7632tPt5ePI35iaGFqayJBx9UnRWdHojUgWdCzup1WgiXuxufq/pnTfhpTRpf5jwHJgQfv2NKOE19ZsByrbXrSVEjRl94I+CVQN0zZ1Z3UGEK3xUWFvBArRN1CJVKUFahpr6ajb026uodoEHuEwjk8vKSDHTIBPrXHE2xquLHsx1maPU46+uwdbX6vXSiw/LUqm4Ib2xoNJvRbn5unha3IJDmCAMhJDhYkwzeuGO0HapJRWsiW7XKEMao6IuCGgt8j038HNramWh4qBnmB4fymyj9EBN9SRz7qcnJkgZcu5CA77Ha5eHBOir/jeuBXSHQumujNkfI6WCKvhQleYKBeqrwy/H83PLKAo1XtANiHJxYhwUjQTWWeVG9EL+Nmhkx0VGUkpYigFFdXSNlJAYHB0V9Qm0OJDWxlCBYaA8MTFSVQSGpbkZYBAsBbTHwsbiBgQyvRU9PN42NjUkmLqR+RPvCswJC3g9fX1/KhltLPrGyl4DvlhF2TSWA/oqyZbExUVL55blnnqFz587JjSGDq4lkBJsSXDQtzc1UUFAgwSsqQZeCN8LTZT1ySAfqWPu5worAqIVWwQYOfg8WJEbY4uJi8QFuZDGjkoPBdZihiqCkEAZEMA+k8QnzqXvwDOhoFBMYGxlloRmg3p4uFvAuMUah56PT6+prqImRBvpcH6tUExNjiuEk92Z+mjZH2OuJKXuUp2J4Z/BbVWw/5OVk0+WEePHVItUynglFDU6dPE6nTpxkoWedn6dstKu6lGyKYR8gqg3yMcnP39WBqkObdz50WKTCVxNqgVDAzOoIC6MrKSmRR1ALzS4uUVpqKgUHBVNOTg4r8oU8wq5QSnISN0QE5bMxUlZawoq+C53kRrgUdWmdsdPX10+hOjTxYhRqazNMkQnhDwuP4KlKV2GNHzKKEWiYpyCtnoXRj05FqqIUvj8RTBNTMBiqgSLg7tyBhlkj1etgpWiRB9A83+8EqzLtbe109qxh7QCVoSoUsxED1PrD75+lz/35/5DqQl/4zJ8LP/XYowbZgk2R/nf5OAjY/NyMZG8fGhqQYjit3JkpKcmSaj8wgPVkNwW1nR2dWbhcyY3RFn8DcV1RytTxlEzrmN6dXRx5JnESV5mbqzMjMxuhzo509NBBOvDRB9wWazPWZrxupuJ2xO/28OCCq8xSY1aMLj4XqtX2qAR8UaxfIxxMFRRMoxcuRLI1vraeDoawYLUFFjkQOCY2RpR5lIPKYyEOCj4tIxjFdVS90t3dlbxgyfJ0BtcWKtbhd6J5ukZVuHOh4TQo/lvLoBtlpIAeyj2tBZyA4f9DYSBMVVL5iadGxfVj/tqI1AoKCNRfQ2UI/sUL52VNf2Bskl5/+SX6x//9d/SjH3yPnvvdE7SfBQKdjLZD3GdfT4+gK5AWhqji1Df8XdQLQ6iklnA+9Enj39cKEGIP4KkICQwyWQ4Wddgu8L1qi3mqrwaCaM7gM8FQU9xdnCg1LZUHmuWuMAisDwOKFmGtphIAaaqqqgwQTaVYFkaM6LWHsCx6yVwjYLSi/g+QFTpQfl4eN4R5dIJrJvrSRfLx8paKLAEBvhQTFUVXi4ro0oWLmmuzAcSNGx52lkZZ1wYSQ5fr7e2l1tZWsVAbG+vFfwlvCJaMW1ubedruEcGuqqzSqQSK4Kv3D4HFbLKV1aQO1iNfeuE5+qe//wrPToFyT1B5VKRBTUvogSr18z3CGFKfRdt2xu0IoEDVAy1BxfDgdtUep7Jy/lqfGVyPBVf/t+a9+or2wMyKAb9Vgh8WwCFeAt14vWmBhU4FHQuWXEJ8vCj0iAWFOyIchaJdDR/AgDX6HtjUMcafofMhsIWsw2Jw1NXW02X+3YSEBEpmVQQooxJCC3NzckVF0F4DbPJ+mDGaLcNnQ8K9JLOao6+OY8SnAwMtrhFSUJBLD37vO/TD736bfvaTH0tJNwwM6MgvvfiCFIUd6O+jwwcO0DNPPkEvPPcc/eKhn9Cvf/4zEUZHBwc6eHC/TOkwvrQ6OXTOsyFnaUm3UIABiZqoGy4daxjHqMepbjX5W6NaoY8iIyNpYGCz2lQbk+iwbp5i0Kp9goF1UwILlHN1PCkNgZtFLRKEua3VyVtvfWv/Xnu/HpnwCkaDQq3w8fNhgWCVgK328xGRtLi0KA8VirqpuhKhYFEjWGfEVKR+ZnjttWONGQgbGBhAxUVXt4SIqG5pamCojDoxqL1iTDC0VpYXaXR4hN7d8xYdO3SAstJTKMjfX1bOZtiw/MG3v0mf/tP/Tt/+5tepTVeSCUZWNc9ooNLSYnJ0dND/FlQbH0YmtIET66cffvi+6P8H938kgyAwwF90Xolx0J9jeL+GrGsvIzVAyxBSX28fsUdUF97NElxg2CKjXem6KaMLwdKo/IZpqqSkRJDP1MNsyBiZmzREQlw8XVs1VDWQ73CEp2EYdlWV5RQTHa1HknWNrxv96ufyaiawxJhRF7ekuIj1V/PCC4MrJMS4QqjRdXjQobFBWKr+9c9/ygPLycA9ZimtcFvA6l7RuX+0hL6A3otim5n8O4jHRQVV1KZ0YWMKcR7VPBBOHDlMJ3k2xAB9+8036JXnnxWhN/CQqLxB/4CxrWdCUw3QWgQw8pNYAivpsAi46OvpkOmwq7dfdDm4MPAQZkespkHMHqNhf38/0VMtJUwdCHH0ZxSRZVA21Dy9tQsC6xn3se5ejLwHGDhn2BCE71DVI0F49vTUVPlee7zKQDssAf/yZz+l3z3xKA0OWCOoh43bqootR1hl52TJvjGoJih2rdgVim4KNIYX4aUXfk8vv/QHFlyeofiZjFfT5Jn4cwTdoLaRti2sTYhV8MGeLk3SwZvyEsDFUlBwRfTWQwf2s76hPJAIidGDmkU/VYBNNAwc6PU3k8udGxODKCE+VpzkWqGyZLAIm0AcXAf+SQSRd7R1cAcqnS7XVJ+TX+HKOrR/P0/1b8tnRWzkWauDK6sqtxTHikUbLFZoCcur8NKsVYJcY9z/ocOH6Pvf+Rb95MHv07FjR2S2yc/Lp4VF6xUu2IjgxYBKoKYwBt3U0izQBcHZ2gfdjBX/pmFNPrzH5+4uis4J35uvn7dsf7E2YddCQeEVCjpt2bLt2n2aFlxBIc1n6GhUEv7W179O7+17V/85ApGtWRSstqbaaoHXuCfU/L7Mhivu1cXZQfyxsAUQ7A3X3+jYqOQH9/f13tIS+c3QzKyiEqh1DUDwjNywwC4tLrHifk7pKI3bQ2XjUSvMSGosrNrvgYTFbEQgsfmtICz/lZWXsQ4aLJay9l4sYdy/wnh+Tzpx/KjMNphitcf5sdFlqhLTjVJtba0sGmwXzbKwdHa0m1zMyM3OEPWmr3t9hJo1CTosBrrVwwulLnpWBneKn67TDdFoTSjVz/mVRy7Qyc3FkUJYNywuunJDvjpr0zx3EKzzM2dCBF20zyHMDYhX7UDz5qny9Vdfpq//01cl7tR4ECoqRILou9YiuLiGh4zjMq7fFIKvsGHZ2tIkri5LCCttL7/4e/Jng3I7dNk5vr6/n84PqyPr7jhgrqhvEks0V8ILc2RZFiMEe7Ow6gW2ZsdtN2EZtPDqVXFLYdFh3VIuzxj7eOp/6/VXWR3w5s8UpFUHJ4TXlxt9ZNR6ZSyvse2AQllqQdcqNsAiI8Jl6h4ZGpLPtkJYMWxsabjhfoGwol+tTUBYJNIwWJq1psBCZOvqqsWBjuAXcDr/mISH7SAhNUcwMpubmunM6SCZSbBU/K2vf5Ve+sOLirFlpAZgFvGC4choeLMIhCg0rLJNGAXPtHd0SNl/oNDWq7hdowr4ei1c27/VBLXE38itZdXgF/RJTT32dKGAT5YgbE5Wpuzr2kmoaglBfXnjlZfFz4lAHzjjEdcKv6bKcMl1dCqVRm6GIFBVVWUmhX5yapJiY2KotbVJ6QALCWF8NVU1svXFVkkQlmctrdFl1QBuNGhNbTVdvqzsms3Jyab09DSLtsjsJEI4Xnj4OYkn2C7CgIBFbElS/tKSYtlZajwto0bQu2+9Qd/6l6/R8aOH6WJkJGVkpFNRIZZ6WwXBent7qF1Wz2xPcFWVAPKjknVVAhZYdROiqhKg0owEbdjwSN4qnQkOpn3v7OFBaJ0lSGPCbok2FihLaXZmWvzCxueg3klYSDCrC+tLfABAsMzb12e7u5NVt5aBwFozvBAzUmVdoy6AO4fVgmzKyEo3CDfc6QQ99lbs4UcgN0ItLf0txClcuHRBCutuTkogdU11NXW2t9ts3+ijtbRGl/UFtokSL6OOF6sE2ISILTI8Xd0JAovdDu+8+aYsxd4qQoI3hAJaUmR4cGiULl68QJcuXRJhRyRdPs9y8HRoCapDYWEhI/kIlZWVUh6rb/2oK2ljJH5YDy/FaNcJbKN1BRY6bI0YXQV5eaISYB0YU9KdILCjI8PiPkJD3mpC2/b2dlNrm+HuB2NC9FxrcyulJiRTQe4VWmA91pgQdok9Vtgp0dPTpWzTbmqQAWlLhHZGwL5azB9kXT8sN1a16iXgUYtt3qISpN8JRtd1Onb0CF1gw+V2UgkbWNbweY6OjshKlopctkiq0SUrXbrbtHK6zes8DVVTchL8sHmKwDKcZ90Bbi3sD/vVz37C1vXGCLfd1NHRRgMD6+Nqb4S6uzqovR0bAm2TVISFj1kdWFbf01XHAqv4YbMFZdPT0qQQ5U4XWGyBQdJgW6AJvpdGnsnmuUNXbxIh+1jNANLaIsH/vJa9UPnMqplfRGBranSpiqASQGDT7wiBdTh5ghAbams0PTPLIFFLI8MDNzy9I5nc0OCA7i/bIcmt5etjkNAYWYGsJrC4aC1SFelya2G1C45q7MnZyQILQwY+S/hHbZngCoNRIjEG1zf2Ea+uLIvnAb7bpsZ6OdfWCPGw8MMioaBK1nVriQ67lvklmxFWdFj+QeRO2mkEH+jw8LBE6D/z5ONUWVMhqsHt8BJslQAQWMVqqKumsbE1lxhApau7WzaO2jrJwgEbXUBYlazsJSCqwMLBZTUZXI4kShMdZIcibGVlOf31l++nuz73abr3i5+XuNkbnXpvN61uQ0TVdpJ4CYxUAusaXYywdXWKHxZxBBDazKwMytjhXgIUnPvWv/yzhEra6daRumtWm5fgpnYcKJfQki6WQNVhGWGxcxN7cna60WWnW09IaSTBL1qEtfbCAaK1tAHc2Vm3xuhqrsymPXs/orrGZspNjaNX9x6R+NDykiuUlZ1L41MzVJR8jn7+6IuUn51Mv3/xbcnx1dBs6DxfXV6kqrISKiytoMWlBQpz+Yh+/dQr1NE/qhvk16i7rYHy8vNpmnUsUHtbM2Vl5dDw1CwtzIyLaw/JL9qQYrKzgX7x819Tblk9zc3P0NXCPCqpqJat2tAjEWlV2dwjhp2dDAleAuiw25KqCIQ2r66rVwQ2J5MFFgmNMyg9c/tVgpaqXHrttT2UmpZGRaXltLByneLPetHH+4/QGT8PevKZF6nyaha9+s5h6mospZffPso63Tztf/tlSq9QIvdXVxbp4FsvUWPXEE2NDdL+A4cpKtidjnlFyPd0bYXC/RzpfEYZXVuap6aWVvL48CV69uV36HRIGPkHBFNK3CV664OT3BYL9M7rL9GVilp65dW3qK29nZ577Ld0yiOIQk4HUnxSBvmfep9C4guUa9vJJCG/WGpKCuVk51BFRZmUbLKawEJiEXCRhGgtRleoBRm3KB4WoX5LyyuMgmtIBeRE6N3C4pIk0QWKIXAZfy8tLcv3klzXKPRxYX6W9SdlZygMlTk+XkvLjNzYM48BCkLmFqzHLzNqwrjEtUHwMuDaOH5+Hm6j6+KqQQ0znLu6vCwhgHbaGlkRYZWlWQl+yVV2HKRnsMCy4WVLOuz11UVKi4uksAsJNLd0cwIz3NNM5VV11NfRQs1dtud8vxPJqgILHRZGF7JvA2GxmxYRW7dTYIvTztMb7x2ijrZ62vvWa5SYnESPP/0yDY4p6XWmRvrog/ffo+qWLnI+tJe8zkbRkbdeoMCYLOpqbaCQ4FBKS46nnzz0MzofeYHePehKPW2NdOiYM11JDCVH9yAKcthPDqdjKSHMm04FxlJJdhKd8DkvbWIn65LVBBbznKGXIJt1j8zb7iWYGeunY+/voT179pKDVzB1dzXT+x8fpulFBV1XFuYowOFj2stC/fxjvyG/8MsU6HCAiuvaqaPmCr3+6it04tgh+sNzz1F2WTP1Nl6lp559gbqGZ6ghL5a8Qy6yQRfB+vFBGp2eo4QQF3rzfQdWEezCuh1kRYQlqqpr0EVrKTUOEAt7uxHWUoI+e7MEndQupttLFgns6H33/feR3bv+cmz3rh+M7L778bHd9zyrO3+NWGLr62ooPiGOBTaH8vNzKT09XVa7doLA2mlnEGRPkUHI4q6/hGwaCOzHf/RHf9z9hS/8p7EvfemLQ7vv+trofff8cvT+XU8N84mQdjvb+ZYxyxxkDzIIWYRMQjYhozpxVQgSPPA3n/kvo/d/4S/Gd9/zNwzHXx+67+7vDd+/68ExZsCzne28XazI2K4HFZm75+uQQcgiZNIAXbXEX/w7fEkPPPAf+z73uf888uUv/zfoD3a2861iyBxkDzIossgyqRNPO9nJTnay060jnUoA/mMdHNvZzreSIXcigzqRNE2wwOgb3/gPHbt2/f+HHvjUf4UbwZR+YWc7bwdD3iB3kD/I4TqPgEqQ6Ov33fd/Teza9ScjX/7i54fu++KXFL/XXQ/AYWtnO28nQ84gbyJ3LH+QQ8gj5FInogoJ7LIVNvnAF/50+N577x+9/+5/GNl917eGdu/6AVwLxi4HO9vZ+rzrQcgb5A7yBzmEPOq8A2sqAaQXvq2BL++6G47Zkd13P8QnP4KVBSyH2dnOt4Ihbzq5ewhyCHnU+VzX0BX6Qdddd/2PgXvv/evh3bt+OHjfPY8N777nGSyFmVx1sLOdt4FF3ljuFPnb9UPII+QS8qkIKkNsLUMtf/HpkS/f+79H79/1M1l65ZN1y7d2stO20GD/AEWej6TQ0BCpoRvGr5A7WX5lOYQ8Qi4hn6IK4L9mVmSH//Kuzw1+addXh++751fD9+16euT+u5/XXfOOppWVa3RtdYmuX9tZW6B3OiFOuLKiks6EhLCwnqXAAB8KPXuGIHeQP8ihyCPLJeRTL6xwFWBNVgIJdt/9a0DxnSOs2CIzQ91dXVRXV0sNdXVUV1tFVY2N1NLcICV+2lobpdADNrc11NdJGsqmxgaq5+OvFFyh1OQUSoyPp9jYaIqJiqaE2HhKTkyRXAvFV69SbXUltbW0SMINbJPZjmoqdxpBWFEMBPULKkpKqa+/n1qamhVhFRX07l9LkBXLpbiyjIV1bPe9XxvefffDO1tYr0t1b6QTamlupkYWPqThmZqe2lISD5RnQmOi7KazkyN5eHowo4SRUnROqX64VgVR3vN3vj5eUm/sYlQUZWTnUlVVFfX39tDMzKzkY7WTQqqwon1nuW1ACD1VhRVyCHm8I4UVmaWRUbCyklGzpooGhwclpfvNEvJMIREIBBH1+tdKGRmVNTLFLMQ+7kopeD8fTzoXFk7Z2dkyeGZnpj7RccEQ1rLycqlvqxYb+UQI69zsHAtpJT/09LYJwABPUxHhoeTi7LReKM2yWiVReQX6unu4Sb2uAH8/irkUTfn5edTf1/OJUx0grEh9D2Gdnlbqgt3xwopOLikrpYWF7c+0BzXianEhuVogsMalOr31JUrXWMqUOrvRsaPHKJCFF4WSZ2eVKfFOJxVZ/VhYZ+50YV1cXJCs19BJkUUQD3+rqI6NNMdTpxSh8/KUiuPGgiisK+dpILgmyumj0renqysLrhMLrT/l5uZRExt74xYU3NippOqsUJVmdNXH7zhhHRkZlSS90PtmZm9NqXNThDRCzo5OOkHUoSaETiOEBsyCi3Ke8l7qzhoKsfoeaItS++fPRdCVgnzJ5YDc/ZZUitlJBGFFoWkfbrvpqTtIWFHppLO7ky3rcurq6tg2vXQrhIoqEefC1gTQBKsCiFfte1OvphjqRuiZM1RfW0ctTU2yRb69rVVy0O50HVeQtbJC0VmnlPwPO1ZYoR9OTExQbX2t+DyRVhHlMG2JampqxK2FNPF6IVPRlT8zEETjCt+az9eOW+9h8HL3FLT14evGxcVSQ0M99XR3SxZzSQM/NCBts10VF7eLVDXAm59rcqciK1KU9/X38oOUUl9f/7piZ7ZESPPoxdPYRuioZ20Fb+Nq3kas1YG110YhZTc3d/L28KDoqAs809TQ8NAwtXe0UWV5GdXX10hy31upv98o6dUALy8W1m1CVvwIHOYTkxOSwMxadG11haf4TsmhPzY6siMaHBQXEyXuLC8NchoLrxhQ5gTUnJ7Ln284CFhgnR0dyZOFNy46VgoYT06MST1YqAvDw7ZdY0EVVkUN2AZkxQ9cvVpE8bExFB0dRfExcZSfl08ryzenP8F4qK9Hbf8J/Iju051BpWWldOLEMRYgjdCtm/J1f5sTTGZFMJXvPdz5PVj3+YZCyww1wdnJSc6JCA+n0tJSWf7t6OiwWd1Wi6zbIqxTqLMfFSMphdQ8WKi7Pzo6qjtii8Q3PDQ4yNZuCyPrzkwh2dPTTSeOHxehUZ3/+mnchJtKy6aFUBVoL+V7d3gHXMiZ0dvVxZkFc03goYIYu81wjrurG7k4OkkFcRQztsVZSiusk5PbIKzTUxMsnNE6QVXqaeFvWKdbJTTfAAsqslBrc7PuNOrrH6CTx47qBVXYWCUQNcDEtG5CmD1c3PXHebi4yVSPmSwzI40SL8dTVNQlCgkKJH8/b3J3cyE3FmRHBwdyYUF2YmMPr0Ba/KYbf+944iQtztveQgOEtay0nLx48G3LosD09BTFcsOpgopM2XGMrDcirEDjpqbGLQWX2CIhWujE8aMiXGYXB1hwjL/zhvCaEFZ1pUsVWEfHU9TCU7oxoWNhMyB2AUEyKCEPXTU1JYlCQkNYYF1Zl3agAx9/SL19PTaHrrifqorK7VvBEmFl4VSFNTsni+Lj4rasBoyxcDc11PMN7/xAju5uVgOOQmddL3jrkNSYdTqstxl1AVa/C+uinZ1br4kFXXVifIJaWdAbGxuourqSamqqaXCwX7673cKL36+uKCMfT3cJqwRZVVjHpmb0aoCqCkB4x0ctR9bp6UkpL39t1XZdUlshrGSdZJ1VK5h4byyomwquhjGNI+jF8dRJysvJlmVXa5R1n19coOGhQWpqZuGtqqTmliZGZQXVbjVBWBF8hDqw22JgzU6NUXSUkbDGRksJcksIIXuItEF+fi319PRQTNRFcmOdy9XpFKUkJQiK2xZdFyMQDaql8+fPs0GjXcVar5uuE1SoAOs8BoaMc0QfPenAOukp1j9d5bNAPz8KDwultJRkKiq6KgXSBln3V2olbA0tgWgtLLDVVVXU1txEY1sAnZsl3KuyKODFhvs2+Fmn4Q1gZFVUAEUViIlmYR3bXA3AjVTxaEYlD5VgDb7+yov02MO/4o5xpqhLl9iCPU3vvP0m7XnzDerr69YdeXsJ02ZzczNb1jyVVpRSXVUFVVXXyPTq7HDSwEK3mDdwYyHA28PdTVZ3TCGyFwwoeAncYPU7i6rg4qTEzcIDkJKYyMZLCbW2tYmKtmgBKi8tLrG60U7l3CctrS183vC2ur0EWXXegKntQFZFZ40yQNb4uFiLdNbenm4WPqUu/8ryMneCOz3520eopKTEZKMs8ZS1chMZrGF8YMQOsLXe1t5G7R0dsnsAKzzG6LgZYbsK0F8l4BdmCWxpwWA9x0gHdxHQz0CojF4NeENhXW+sGYQY4lyNnotj1d+QQBgWdA8WZLknZxfxGoSEnJbM5QMDAxuuCkKI8P3w0IioCljSRVSbNQLZtYTfUeNZtwVZJyYnZQ+SKqxZ2dkUFxsrBtNGND8/Tw11tXIzMzNT9N7ed+n4saMsUDevh2kJQt/U2MRTcyR5Y01dOgzuHWcJCgEK4bOw0LMsvK0WT5u1NTXrVBecq7rcJifGKSIynKIvXSQXFzXWVREuXx+dkKmvFrKxgBvHwxoPBPhc13y0ptnVhYWXVYtAP19KTLwsyKsIrvl2ACoPsp5bXlFOdfUNND0zbXG7bUS4RkU5qwHb5bqaYLiOiblkgKxQC8Y2QdYGni7V5b/jRw/zaPLaMrptRnB+B/kHSNgeliCNOxt/Kx3K6OPOHcdCHMsDD/W1NqJJ1usgrKsinGtUXlommwxBJaWl1FBfK4MSCObJyCa/uxF6Ahk30VuFN0FglY2fd6PPsZ8MqIsB7OvjTZciI6m6ukpmnY0I32PjJYJo2tpaaOUmwAbCqhhY2xQiCH0zJnpNDUAVl1hGVnN+VsA7dpRiBylGb3l5KR36+ENasmJwyjBP7RHh5wQ11jpG6WD1b+PPVca0ffHi+Q2nRcSSoqZtU0MddxCrE21N1MBGTS3rrFgibm1tk3aAijQ+PkGR3PGqgMnvGk3Zplh/nPFn5oSZj0Vh3/XfGX629tyGf+NV+x0iu7BcCx34YuR5KS+lupPM0eTEpETDNTbU88y6MViJAnF9lRZZL4ZMDDFS9/b2UkpKCvl4eGyPsI5Pz8qigCqsMLLi+G9jZIUO29hQq6xN6wRhmadoP19fGptYL9gYZVuNrsI55Yxo4qNkY0Nt+K0wkBaWdnpaOq6oXFhP12U3gp+XHyUmxFMf69ztbR08JQ6xuqHobysry7S8tMwqwhQLbp3sXCi+WiQ7NtXrK6+639QIpKkFAZMswm7a0AKrv6G81/2WVvDV97rfM76OsdBD53Vzxq4FF4qMiJCYU3OCC+GCeoSt6zDo+tkm6e7q4EHdysZno8w2NXXVVMUzE9yVAK4O/n5wqF/iQJS2Yp11O/ysEhsAP+uVPMrReQOwgjU6oggrBAgC2s3GiPE039nVSZVsTRvT3Pyc6L2V3Cg43xJChBY22pnrQHO8djw6X+1QL7GmsQqkpXEe7a3NLZSdkUkOp04q53PHwyAIPn1a7rmkpJgRop8QHK5SWVk5eavCysio+ExVtUD9/TWG0JpbFFjHGiFUn8X41fj7DVEd19NdE8djpoF65Mp6t7OzI6OtAzmePEEOJ08K4jY01Unp/8oqFkDur9r6Glbx6kU16O4fZgEcp6WFOTHGwJABc10KpaqUVSmsYG1L8LW63Koiq+is4mcd5Zu6Jjpc/+D60DQIYRcL8QILpjHBKQ1r01JCHVdU8HZzcRVBWNcBYHSQpmPNsdKhQNfjPMjadL/AM8PIiCS8QOOtrl6jy5cT5Le0AiFCqEP004EBEoFWX1dHeTyIcZzBvZm7F/4cwqpHWc1xyvm6a6jqwIZCjWM0CKz7fbjA3NwZKVkQwS4sjPAWODNyurBAujo5ivEW4O8v6tRllEMtyBWh7Ohol77FJkbo4/CwwIi9ZlQzV0voawgqZh0sBc/zrIOt1tgdjF0OWGIvLy+jCjbY4nnAwxDePj+rRlizchB1dUn8rLDomhj6TaEjbgKByni9GcK14S5yX+ciMiUMms9EIJS/1c7Udyp/jpWi5pZm+Y3BgQHq5IGl7RB0GNBUf711rCAojBX4kqGeXDgfSb7+vvrfwffubkrUlAi6jiE4sj2bj8Gx/n5+LDQRjNzRjHBAOmcRPHwHwTM4l88Dajs5OjJj8eCkzAJYSICg+/r40PmISEpIiJPcB2VlbAg2NEnMq2SP4T6Btb+VZW+ABYRxfm5eBjVyNWBJF4WqkdAjPSNL/NFtrBJ1tLeKuxDtB4GFgQaBV+Wggg0sqAHbgqz4QWW5NU/iAkQNiIPralQ6eWhA8aNuFwHtsJkOS5FaYdELnuZvVTg3Y6Cas4MjjYwMsZC2Uz8jgPGAW722SkVFV3i6Vjb6KbzewAkLDTVYvgSyQJ/vZV2uo71FDLIyNjKvXCmkrOwMyszKFD9zTU0t9bHBIdMo68DQiHu6WW2qqqDCwnwZTBBCD3cXCvDxFddbzKUoNvwyGAWvENIhwZeMlSyoakDBGyGgJgQK1+ng61WWV1I+93FiwmWKunCRwvn5sILmoVMXXE45sVrkQ709nSLAmNyhu1qymIA2hjdg2/ZgKcK65rpKSrxM4WFnpRIhfIxvvv66RKyvsk4JV8+NEEZiGSNTTW2t7hOFJifHyIcFxEsXlKywlwHSqJ+vCa9OoFhwtU52rSC78nR4OihQjIJJfj5zhE6MOBeqP0+uw4gKF5B6veysbN3RpgmLHJhSsdY/wsiGSCkIZUdbu+yQqOdnhh4IYw0GChALx+G+JDaALeobIWwVgkDACu9m2wH9VVJcTKkpyRQfF0MhIWdEd3RjAcSgOHniODmdcmBVy0meD64u07OXoudiU6MyQKCHlvLvbZ7DAcKK5VYvBp5t8bPCGxCjC2TByhV0VIwiMBoD7oiiKwV0pbBQOkQlTKlo7P7+Xn6YEn1uIy1hi3VcdAyjyHFuvGBu2LWS6vAkREddFFTVNlRwcBDFxsVRRkY6JaemyGJAIOuPWsEVZmHCKo7BZ2A+7tjRI5SRkmYRGsGgMhwUax0IvQ+rPRCICtbJEi/H05kzwXT04CF6+YXneVA4ihBiC/kgozcWUmbnFmiRnw3TMDrP0JO7MaFjMaWi3Ud4Ou7s7qZmFviS4quyUnXp0iUK4d9H4jMEb7s6K8uyrsxQJ+T+PbwYALz5OXhQs9AYz1BaHVrL6nHKqydf15lniytyP+VsYC6xnr8Z4XkRIoj72xZkVQ0s1HDNzEwXIWzr6KTAgACKiYqhIhbSqzxdIp8TlmURkQXncejZYLEqnZ1cqZZHtXaaRRI1PCjcTzCaLsfBUW/obG5qauFpR2cwsLAE+Adwp5SwvrVocC21AyEUiDGQxt3A8Y7g5Pj4WN0UphCuh52iGICYxnEvM1MTondlsxCsGwg6jow8RwM8wFKSE+l/7v4S/cWn/4y+wPz5T/8pffneXeIl2Ixw//jdJUZgLFbMTk+IUPf29FA7CzkivC7xoEVqSG93nmVYwFxZUJSVKTY43fgVBpSrqyAk4gWcnGHZO8nKmhvrvwjOhu6MwXuK++SjDz6gk8eOmBVMU2ws1GiTyPBw2TXR1dmpe5qNCe0MIwsz3rZsGIS/7dy5cBbKAhGKZeYL3EkweMTS5NGLVZHDhw7SyePHZES7cWMisgZbid2dXSk26pLcFPyq5WVl5O/vI+di5MOfCTcQOghxBBAi8IXI87JMCCTDqhN2dG5G0LuCg4PNChci1K8WF4mVCmc/XDC4H7jQamqqJPVlOxsIaPwh/r2pySlKSUvTW9lyDfV6/NlVHnB4Lj9vL7r7C5+juz73afr8p/6UvvjZT9F9d98lgibPzYMTKTixotfFOjKWhxH1VFlZxq/V8rvQF3Oys6iHp2zsT8M0Oc9qSDr/vouDspyLTsbvK/egSZrh4ymup2huZ8wWyAMG1QOMtsVno/zbKUmXJXURtpLDyFOuuaaHGwuk/K0d+DBa1ffMZ8+ESLzsHBttlhCEFYEs+M2p7VADgKzBQUFiBarU2NSgWKyaKVHcMfyKpc/IiHBZ9UqUSKBiGU3RsbESOQRUUKcfrJ54wrp1cyfHEydEl8LNA9GACECRgtw8Wlq03HiAsxrXl3vi+1MbF52DoHEIzOTEhBhFGHwKSpufilMTk/XPqGV4AbCSg9iJhMQk+pev/gN955vfoId/9hDteet1Onb4MFvk8Sz8beKTHGR1CFM3YnvnGUHxnNrfxX3UsOBC11QJwhYaEqIXLJW1AoP3mNIdT56UIBRjwu/AbeTj5SODWLsVR3sdY5Q1+M4Eu/PgCILez0bkNQs9CyKsDAzQ962usyKWs5lRoJetfi1NjI+Jdag8oOFDQjn38fGhAF9/1pMQTMyqAFLuaIwktSFw0+p7rCq166Lji65eFVSFMGwkSJiux8cgAGuZBPHZGR7xxuh6NuT0hsYUCNdYZAHG6srI8Ah1d3fJio4MKk0ng+F+uVp0lXpYZ8eSNKZxSwmIDUHUEmYTON3V5wAB4Y1ddoastD3aEAMebaElqEzQoxHUY0owTX2m5Y2+P8GzKBIua+93M1KRdVt2t/ayAt/T16v7a43aeSrDVG/osDZ8GPVBDR7YxN8qu/DUpLqAEhPiZFuHgJ4JwiCCZXuaER8oitWgM6zTISs1ckX5+/oZXp/RG75aCBV8jQMD/eKygp8V8amYhmt5OqtlYwkO7M7ONtmBO8QoDNeNeh3tvfv4eFEzG5sKMm9O6JRzYWfpe4y+Tz76CJ2PjJBURHBfgaAioSPVzsd109NSxZdq/PvyqhEeqFQIzsZMoRI8GTGsFmhVGC1rDUWDPtFN+/KZ9r2OAQL4rc7ODv4Vy55dJTwTYmcVP6sVhBUXxBouOg2WMNw7pWxtFhYU0IULFygtNUlcVzI1ocEMBNaITYxWc4zRBnRCgw8Y+W61LjHcH7wLhucrqIeGVBFVbWD8jVgGpCTq6+2hYZ6KscIirjYWejSWOQf5DOtiIUGmFwagk1ey3mmpsEZdukh3feZT9Bef+TN65Q8vSPwELGIsBgDxIazVVWvCiugmH25bySfAv4fnMetK4tkM3gD1XFwr+tIFsRfWHW+uv0wIpjHju/i4eJ7JLNNRjQlthZSXaDurqAFQzqHjIPwugXW8oMAAic7B9mDoriFBwdw4SiOYfLBNBNT4HFXAYJhBUDF1wbhKSUkWnS8rPcMgaGaIkTHYjACZYqDv2PjG0785QsyDn5+vyevinpH8wxJ9DZ302su/p+8yqv7gu9+mjz/8UBC9lZE99GwIvfD8sxLoncw6/nO/e5Kef+ZpeuZ3T9GD3/0O7Xn7TRHYI6wDwxfqqlO/tH5jdzZUa+oaBOcwAJOSEvkcZUuM9p7BHiaE1dRx2uuDfVhHLywsuqnoObQD4lnhO0eMLOimhBWjMjz8LOuajrKKgmnImTkmKooiw8PERaJ9iJtldDoMr1Os287oHiCEO1By+kOQPd0laHhsbFymzIiwc3KeyYEivIYQcGxHRIRRP5+HQJitEDo9JzfX6Nprv4t7y8vP16OZOYJrJ+R0MAvfk6KnQoWBHvnle+8W78FX/vb/oeLiIrHYK8oqZEVrZHRElnoPH9xPTmw4QWd+5Q8v0r9977v0L//0D/S9b/0rvfHqy3qd38vbQ3zcEAa4ElUw0TMjmf69DkFlwUQnuOozKQapoZCi/U8HBknQtqWziDnC+VjBQoTazJQVkBUXxHQE61JumBsEKxuREZGsGylWqTSQ7mE2ZkOjBKyeByMIQqkUmfCgU8ePU1NDozwAdEGtrgbBQHQ5zsV79XNDPdmwkVWWwcCv2IoyNDAo17eEIDwXL1w0uJZ67+p9ZGdmmhTW+TnFeIq6eJ6ef/ZpOhd6ho9Nk/oC8HRg8N37xc/TPV/8HLm6OMq0LahTUS7hhyjcAW+D9rcR1eXrq1j0Bw8fooP794uP9ZGHf0WPP/obWfJEOB58rtrztKzeP/pF/yxa15QRA5guXrwgqpM1SJ6RZ20MCKvorKsrcLDX0qXz57kh4Z5SLHy8rj3sejb+Tt8Yms/Uv9Hw0IdRyQS+Ufg64Va6nBBLoyPDNMvGAYI6YDhoz9Vew/hVeW++4cEQgMLCKxKzuhn19vRKgImp64AhNImXEwWBVYI1v+etN3nKf4mFcn1U2eDgECUlJtBpf19y4Ckdz60K++jIIDU0K4ktkAQPbqgYboOgAD/y0Dn8Ebzijh0ROjUAjIUXrLW/+dor9PV/+kd645VX+f68uI1Z2Pl79X6lfTR/G7Lh5zgWAJKVlUFzmlDImyVlQDKyWktnhcMaznlMWQEBcD8BydYeRqYPZlVQzLIuvtMUwxpsbTLOOHKdZuYXqae3W6zz/PwcCWEz1p30bDSFYauEwfdmGM+D6KiJsY0XGRAkrEVxw+dlQeHvYmKipLGBlu+89QY99/STVF6qLARslQZYkLFqZUzcvzIgsPcf6BkbG0WBLMAIs4Nb6/jxo9Tb1UWhIafJmVU3B8dThNRCzzzxOH30/nvKzGKqbbTqgIZxfFBAAFXXKPvnrEl6NYCF1SrImpWRzo2juEDq6xtklQkPgc4yFlD520RDGB9nzEGng2gc2QM3oWur16izs1OMJGl0Plf5TfDa75qzks3dB64VwIZTnZkOWWBkO4+tKuvOXZs+wVgCbW5poQVWGeA10aLsVgnbhDq61wurKUL6JawkIiYYK4DJyYkidIgBwP0hDuCD996jH3//u/R91m/f27d3w4UFldEuERHnZLbbDlLUAASysBpgDWTNykjhKyxT/9AYW96DMm0hftJcx6sjVGWzx+kYDQKdDTduKcE/iih9dWVKLN0NkFS9B4N7MeOySU9NWReXAISD9WvqeDCWCz94bx996+tfo/DQEIwq3Zk3TmNjI9TNxthWCP7i4ODTlJGeKsjr5sT6qhhTOjXBx4uOHDlMTzz6WzZgkevAnM9VmZmyMtNFV98uQp+rrqu5WSsga05OFiv4k6yPXSYXZxcKCQwgFySwNXpA9SENPkMDgQ0+N/wbN9rashahbykBterqa6SSH2JbtdfUv1d/m1/V7yCk+Exl/ec6RgeGh0dITKtKCLIxfg7lvZcEP7/88h/oa//wf2R1bt5KOh1iIxAfsBXKysqSUEfVT5ybl08ODrqKMnyvyqunfsvNYw8/TL/+2UPiilS2eTMz2PizDo3peSsAciMkyFrByMq/a5VAFoSdhZ0NpQP7P2Ll/ZQ8FDpUv6dIw+ayh5hSDcAoLYkMLMZIthWan5+TABGEwhlMbWZ+0zQbHotngD+5saFRjJvoi9Ga7/lY3bWl09nAefnFFySZ8NkzZ7jRb8xBbkxwPSEu2FKCTzo5MUniDVRCx2dkZEhwkfbZ1Pdu3F7PPv07+qf//XeyMAEDFh6KblY/tltQQfiNckZW+FmtYmCtLC/Kasvhw4dYYV9L3oCHVh/cpI6oQ7CNhAaoWldbx6bUzTcMHhyxpBfOnxdfoDrFKfew9pt6dUEVON3n8p32lc/BwERwOQI0lGOUc/A9rv/4b35Ne/e8LZHy+DyYde+JiRtbcDCmrQorwgoRR2tKyCorUHIS9WfV/ltjbHuBW/CxRx6miHMRtGxB0LS1CPeKQBZflgOr7MHCXp3TgWpnbc7oSJlSjPQhEQpGIXWDnYebC8XGx9yUEWKKEKWE/VMXoy8J8pnSy1ShXP/3eo+FgdCrnzEi/fbhX9NPHvyBxIaqn2NLC/aZWYOgl2NznbUIRiLcRCGnT0sgCxZZsC0Fq2HQx+E6hFvKycGBZ6qrurO2lwRZWQ2Aq80qRdsqGKbNBT9o2aAzsSPThAGjPSY8PIzGJ7avCBlWqPp6u8VfK7+pfYYNHN8qr90rjtUcz+f+7onHWVC/r/H78vdubhTNKg12dFqDEB+A5VfuUuUDKxGWg4FiSDaSEMdGKgtrNaMbSJ2dnvzNw3Q2JJgWdbkRtovwe8h1JStY1lADrhYUCZKoU7++05jlb+NpfhMhBVKdiwij4dHNg6etQdig2tffJ+vjcg8WDDxTDFUHjPv/+MMPBFG1Ao3PM9LXgkdulrZLWLXU29tnEJes0sTkOO3/8D1ycTolq2nbRRBWSXnJM5qaROOmhHVxcZlyc3K4M9YbVMasdp6xUKsM529qaoqEq91yYkRBmqHU5GTy4AFmqB4YDUTdADTQxXkQHvj4I3rit4+QuwSarx2Pc6ELI6QPHWANghogKeytdD0twSjFEvZG6YGgniHTCnYtT80o+qS1SRVWtLPV8gbgom2tzayAI2hE7UBFvzNMPWOIshAIrE3DSxAbFSVBHLebgHswRC5fvqzTaXX3DMte7ptf+X6NB5yTkzN951//hV5/9RU2SpRjtcf4+/tJ1T9rEXZkNNY3mBDWmxHe6xIoj/xUMMgsoVjW/R99+FeM8tbTn1XCs1VWlOl0ViuoAXIFHeFCXd2dshEPW29RLx/BFOh0hM75+/rKkuxptoovXIik9NQ0qmposJrRYW1CnoOkxES+f2OkNWQMSHTYb37583UrPyqHhp4VNLQWSf6ohlq9sM7MTFJBYRHPctmyWrVVQmIKbMHGnq71A2Bjys/JpVdfepHGx6xbBA73oWzF3qaMLGPTc/qt2EhwkZOdLcXbsCSHAGKMWEwhW22Q20koDYT4ABFYPcKusZu7Cz3z1FNSN0CZPXDMGrqCU1KT+bmtlyUaAe/wQaIdESaYEB8vOwmKi4q27EFBgBBqCIyNb5zpbyNCv1q7T3E9JeXlNpXDnGL0iI3WVWvJyWTOksj7reSqskVCZ1RX11AggnU0KItIs4P7P15vSGrUHwTiNK4LxLkxgh6JXLA93T36UMHS4mIR1PiYWEKZ0K0Q4gYaGhptsn/wbEDWbcvIotQUiKL8ggI9uiJfwLgFNQVsnbA4gekoMz2d0VJZWHjjtZclmt8VAcwmPB0IlwwPC7cozHAzQhr7js52FtI1hAaKZmdlSfxwe9tWl6Wv0/DwgOyRszYqWoNEWNWoK2t4A+QKGoJehl0Cefl5lMOCivysSCe005HVmAb6+3jqTaAf/+D79Nbrr8rSsLGgiheBBbiqqlp31o0RxAhRWv0Da/EIKqHzChgUUpOS+cCtTf/YhYD8B7O64G9bIwiruiig7jS2rrCy1YZM16IG5GbLq+Rn1eyLulMIOQ6e/d1TlJaWxugZJl4NLATAyALjPfaG3awvEp0Gq1iNPNKSfFdZQUlJl9km2NpSaE9vD3V1WJYd5XaQ8tzKVmyrrGDJFTQk6YM01VqArhDeO1FY0XBqiBzSCU1MjLH+V08FPKvAKm9ostwFZI5mZ6akqMTwMPLbmp6q29vaKS46mubMhOthsMh98Om4Bt4jrBGpmxD/ezOBQttJuFdsRrXa7la5goYA12iEbCArG1fIfh3LDblZAYydRvX1jRTo72tVC19LcCX1MvJBT90MmWEPxEXHiutJSxBthC9++xtfp98/+zQFBwVQ0uXLlJuXQ5Xl5QIg0zMzVF5WumVUvhWkzBq6lJfbIayCrNFKMmFFFUBNAeyVunOEFSiKAr3IAqOIhPUJ1j4yvFhCCP/LSE2j0pJS7mDdh0zoWKym/a8HdkvwjimCwdjYYGpx4faTCGtFpWSP2RY/q+oNUNUACCuSC0+MWc8hfrsJs8TzTz9DLc3K7trtIETIb7TcaUjXxZ11OSFe6i9oqaW5mfwZmRYX1i9hI5EbsimicqAtkqgBOgNrW9QACGs0C6dqXEF3g7DeSTprS3OThNDNbaMVPTE+Ti0tzRYjnuqFsXT3AOIvCgrzDbJw2xrh2eFnReqlbUFWSSasq4MFnVWQNfbO0lkx7SIt+3YTMrxot89sROjYgoICCcTB/W1G2ELf1t5OtdXVekvb1kiEFcHXjKzIqA6yss6qpGm/kscWsU5njY1bXwdrpxLKC738wnNUV1uj+2T7CJ2Fwr7Y6m4JviKP7MULF6i4uFiEEYS43eVFqACGV0Cnd/f0UsnVIqqtqqGpbYwdvlHC80NnVbwB2+C6EmSNUpZb4bbKRIXB6Og7ZlEAW4N/+dBDPC3dOjRC6GJbS4ssjW5EyyurUjjjXOQ5ykhPl2IgRUUFbKwhw6KhsAK1r169KkmQ8/NyREfGbgFbIkFWbm9fT1YDtgNZlaJta6WFILBI+nun6KyIHPtg37u6v24NYZlXMjU2NtLs7MaxvtBBESkWHhFG58LCKC4uXmrLGhMqHfayENc11Etlv8hz58RHDGGwFRJhZZ0VCY23x8+qE9Z8VgPydd4ApPYZ3WKAha0SUhYhmdntIGT0RvaZzXTS6Zk5VsNYf41PkfTyxqgKktTzra2yKoYcAvDV9vfdml2rlpKKrEjfrxqCVhXWCX3UFYwr3XIr/22u0PBOIjjnsav0tqEPdx4QcWTk5rf8TLPuXVG6ecGN20kirLoQwW1B1gm+aGwMYgMUVM3JYZ31DokNqGbL+YXnn7+tfknomqNW2p9WWVXOiGWbngCQqgZAWLfFdTUzzchqULs1WyoMjo/ZnrW5VUpNTqR9775zW6fKnp4uKdJsDRpmhG7WZSK0RUI7Y7kVxeK2BVlhYCFbnhrPivI3sdEoh7nz1YAAX29CbajbSVjOrmJEtAYhFhb1VG/LBk0LSEFW1MHy3CY/KwwsA2SFn/XOiLqqZ2sZVaBvL12nxrpaqyTshTBg0aG/t5vf6z60IVKRddt0VqV2q7qtRVnBiom+tOOFFQ3X1dm+rVnztkKtTc000IeCx6s3XAMXtLi4QEgftF3RYzdDaPOysjLr5Q2QK2gI01Q0qwEirGBGV0RdTexwnRWegBeefZYa6w2LG99OGhkclBJHqvFxo9Qlu1pv/zZ4Y1LUgIpt1FmBrFHK7lbRWYGsMTsfWeGUR1GKLgvD9m4VARG7unvYUGqgJVlW3TphdyuCnG9kC/d2EoRV0gexGrAtu1vV4Gu9sCLqKjpqxwsrBOLpJx8jlI+3RVqYn5MMLYODA9LJWyEc39rcJPUZbIlwX5JFUAJZtkVYJ6TSiWJcZYveCr/r2A6PDYDFjNWjm91Ptb10XfIzIEYVhu6GxIKAEEeUisdz9SNYZotCvt0kwsr6NJB1ewoNy3KrYfB1XEy05ETayYREEnV1dbIj1NZpdWVRllnb2tuk/L0pQooguIUGBwZp8Sb3iW0XKcLKyOq1TSGC8LNiN6sqrJnZ2fL3To26QkVsbFVGEPnLLz4vNadQp3WrWU9uByHBGkIZuzo7DCr9oWwn0PdmNzNuN0FYpXbrdq1gKa6rS3phRd4AMbB2KLIWFRXR17/6D/SPX/lb+p+7v0R/9//8FetQXrpvdwJd59luSoKYyxlJUQKppaXF5gUVJMKKEEHWWbclIwviWaOj1oRV1ABxXe1MZF1cXJAkFp//1J/SFz/7Kfr+d799066i20VQYWxNL92IRA3QLQpsC7KKnzXWSGfd4SGCyFryt3/1ZSlJGR11Ufepnbab9DrrdiGrbMWOVXcKKCGCyCpoqtzjTqKjhw7Sbx/+1Y5F1Z1IEFbUbpUVLGtUGJQraEgNvoaQisCygYW/J3e46wqpyVGj1k63jkRYdSGC27KCJcgapXgDVIG9U+JZ7XRrSRFWJfO16je2qrCOsYFlnJjtVggrAjpqSgvp8uVEiolLpMrqWlpFdQsjgr90en6RulvrqHtw83tCNb762mrKysml+eUb2yGwtDBD/UNDtLpzbBuboG03sLCChaQWyk4B3bYWJBMe3eZAlmtztO8PT1Fk8hWpYuJ6+F0KS8inob4OSk9Pp/rGNpqbGqE9Lz9PZ+My6az7UfL0O0N5+QU0MWWYrGJ8sJsyMnNocHyK+prL6Tc/fYjPyaIVnfAvzk9TcWEeNbYq4YKzM9N0pSCfquqbZZ29v6dVSvPkFRTR3OISRQWcpEd//w4Nz8zTYG8rZWbn0sjYpLIq1lDPxxXS0KRtJke7naQaWEoWwW1bwWKdNYeRFaxH1m3WWVlYP3j5d+QbfpkKrxTSwb1vUUR8GoWePUsxjPS/+PG/0eX8avrorZcoOjGb/BwP0r4DzhQb7k+vv3+C5pYU1OysyqOX3thLGelJ9PKLL1NqWjI98cTTVN6g5Iq6trxAR997nYLDL9Lxo0cpr7iCDn24hyJjEuj4/vfoTHQGnfrgdTrp4k9B3q7k5BNOMSHu9Ls/vEu5yZfojXf3U3JiAr3y0iuUmppMv/jNE5SeV8gCb5sB0LeTIKzIbevl4UFTE0r6qWurS9YT1ompGVkEyMuDsCrxrEgntO0667V5FtanyPMMBkoWNfeO0Eh3M727Zy+FBPnT47/6KQtrDXk6HqXq5k46532KYlOu0ERfI73x5j4an1NWeFIi/MktOEbe+596j7zPxtC+9w/QFKsOoKWpXvrD889R3/Q1Gu5uouzUy/Srhx+noMBA8vLyoRi+prfjESoob6DWmjw67uZPV1LO077DHnTO8zg9/uK7dCY0nPx9fSiFhfbtjx1pZZuLn+1kwkphdVWFbC8vKS6mCn5vNWGVvAHRUco2bJ2wKnuwthtZ58lh/z4qbllLt9PfXk9vv7GH/Lw96Vc/+xnF55TTxWB38jh7kS4EuVNafhlNDrXQgf1HaGJOCY+bGmynj997i5ydXendD49SS3sHHTvmQPMLa+Fz8Wfc6NDho7R37wdU39ZLZ9xO0IETLuLeyi2ppTPeTlRS20IddcXkGXSOOqry6eXX3qSyomx67+03yN3dhw4fOUHFJcV02MFPklPYaXMC0oKsJqyIO4SwGnoDorddWPEgy0uLer1SJey1R8of7LXHEuMq8+z8gkRPra5ekywnWDfXtYMQUu4gXY0YaPzF7MKivqGE8NnsDJ+nLllel33tuC5oeWlZdKtrfD6OwblYp8fvIa0PsrksrvBvs/GGYw3v2E6bkfWQlTt5zRugE9Y4RF3tbD+rnWyHrCes4g2IoXwW0rzcbCVNu4QI2pawjvS1SUBKXefNBVOvLMzKgMQgra2rZ8S2T+nbTVYTViS5UAws6Kyo1pIly6+3e7l1YrCbLkSco8tJaaJXn9jzLL2652MamNTVBGArPyclXnKcpqRmSyqd1KTLlJiUTM2NdZIL6vyFaOobGGDhzGODa5nmJoYpr+Aq5WTmUV5GCv3bj39BuXlXqLColFZ4bu/raKTmVtstMLFTyWrCOjmFpLbwsyoqQB7z7U7MNjM2QG+99goV1TRRdJgXnfC/RFHBbuQdfFFy90PnjD/rTsc8w6miKJMe+uUjbH0m0LNvfEx9Q8MUF3WJUjOy6ejHe2nfqdMU6XOS4jPLKD7YhfxOh9Kbr79NtVVV9Npb71F/bxvtffNNaurspwN7XqOiOtvbiLfTyXrIql8U0Oist3m5dairiV5/d79Y9E2lWfTGfldKOe9LodHpygHXV8n9yHsUnVtL16b66Pe/f4nSkhLokMtZWpgeoYPvvUkhETHk63yMDp3ypL72Gvpw3156/c191NHZRq++8jbV1dfTex8epomZecqMO0dv8+A45OJrN562gawmrLIoILtbUV5HcV3F3+YkF9evrVLa+QB67e2Pae97H1JpQw9lXT5HUUnZemFqK8ugV37/An289x363o8ekUwyXqcjaGlumrwcj9L+/R/Th3tep73HfCQ5r+PhfeR3KZOWJgbo4MGD1NHVQwf27aHkvHKa6G+nX/z0YeoY3GQflJ1uiKwnrAhkkSyC2Xr3VYzEs94+YVUJVVZUFxRetO6o6qsp9NrLr9K+fe/R6fB4WcfXRgIsL+v8rGunCOEa+uvw68LcDPm6HqPAC4nKZ3ayOllNWMfZwIJBlZ+fL54ACGtcTNSOcF3B72mNvVV2J//2ksXCOrT7rq+N7b771+aEVdmKfUlWsLD/SnTWWOQNuDOSCdvp9pMqrJBDyOM6YW2+777/a/gv7/rc4Jd2fXX4vnt+NXzfrqdNCStWfi5FXRQhlfgAqAFsYE3cYYWG7XT7SISV5Q9yKPLIcgn51Atr7QMP/MeBe+/99MiX7/3fo/fv+hnzU8P33/2c7nwD6uzsoIhz4RTg50fnIkKpodG2ctXbaWcT5A7yBzmEPEIuIZ8irCD6xjf+Q9ddd/0P/uKvh3fv+uHgffc8pkDxPc/iZDvb+VawyBvLnSJ/u34IeYRcQj5FUEEstX888Def+S8DX951N/SEkd13PzR8/65H+PXx0fvvfsLOdr4VDHnTyd1DkEPII+QS8qkTVRHWf0cMtZMPfOFPh++9934+8R9Gdt/1raHdu37AJz84fP89P7KznbeXdz0IeYPcQf4gh5BHyKVeBVAJ0nudFdmJXbv+ZOTLX/z80H1f/NLI7l1/OXrfXQ8MfOmL/9POdt5OhpxB3kTuWP4gh5BHA1TV0sf8BfQDuAqGHvjUfx29777/Pn7vvf+3ne18KxjyBrkTVxXLIeRRJ5qmSVQChf+Y+d/b2c63mCF3IoM6kbSTnT4hpEq+ne1sZzt/ElgHfdYjzcVFhc36xh/9h9KvfOX/J4sKzFgJg9EGhl5sZzvb2c47nVVMk5V+xjngHXAP+Acc1OHhjYGu7kRxZuHi3V/4wn8aeuABOBb+pPcvP/9nWLUdemDXZ+EVAyM+xs52trOd7xRWsQ04B7wD7gH/gIPAQ1myAj7qgFYHneYJB8EjC4QGcuNCWPuSpYXdd92DpYbB3ff8zciX7vrK6P33/B/Ecg19+a5/UgJi77Wzne1s5x3PwDPgGvANOAe8E9xj/BMcZDwELgIfgZPAS1lZNQeyKrAKGivq8Z8gCBbBBcP37fp/h3bf+8/8Q99BAMLg7l0/Hb3/3p+P3nfPL4d33/1rRHirrGyRsbOd7WznncVGOPZr4BtwDngH3AP+AQeBh4KLjI/ASeClGipgEmDxIfO/BxIjvkCA9S/v2T2y+56/H9l977cl5JVvgP9+bPT+u58cvW/X77AbgW/gaWW/l53tbGc73xksuCb4tut3wDvgnoJ/dz+k4OE9fw98BE4CL4GbwM914KoD1j+G05a+8rn/3Lf7c38+gX0E9+/625Ev7frXkS/d/ZPh+3f9ZkhA9Z6n1Q0w2O5lZzvb2c53KqsbsIB7wD/gIPAQuAh8BE4CL4Gbgp/G2qsOXP89nLQjX/7yf4MTF6iMPQej9939Pb7wLwS5sW9WB6y6HYp2spOd7LSjCKmXFhYWqK62js4Gh1DQ6SAKDQ+liHNhwufA4WEUHhZKgQF+sg1bcA95K2C5Mx4KLmJPFuOksrj/5f8mi1zG2qsKrlBtse0ADtv+++56AE5d2UgI/wN2JkJV1mmsuvu0kw0S0nYtr6zQ/Pw8TU1O0djIKA0MDlD/QB/19/VSd08XdXS2U1tbCzU1NlBdXR1zDTXWV1MDXvnv5qYmam5uova2Vurp7qKBvgEaGx2VBChLi0sioGCkykd5JdS4Gh8fp5GRYRrm3xrsx2/1UV9PL/Uy9/H7gYEBGhkaofHRMallhnNwLtLvX1tdpuvXwEibb5SMzE52siJBbiF3KHnl5+lLgX4BFHaWwTUsnKIvXZIklHFxMXQx8jx5ubsrCVkY94B/wEHgoWx8ZXwETgIvgZsmXQMquCLGS/Z03f+Fv8BmRKycyQ7a3Xc/rFz0nmfs4GobJLMvwJNBaoCBrJ2BsrGhnkGyVkrUItl3a0sTdXR0UD9/PzQ4yKDHPMzgNzFNUzMMajx7o56IVIZnUAOvrq7QCjNAUwVOACFSnfX391NXZ6cA8tXCK1IsHUl7vDw8ydPNgzzdFfZggfRwdyN3fgXjb+U75b277jhvT2/y9fUlf75GYEAAhQQHi7YQGRFJ0VHRlJiUSJkZaZLPuqjoKlVXV1NzSwtPDj00xM8xPj1LMwtLAs4oUGknO1lCenCtrGD58yEfby/Kysig6cn1GW4b6uv14Cq+WAVcHwYuAh9l0zbjJXAT+GkH1x1AohUyaCBj7ujIEGt+PdTW3koNDJpV1RVUxYIBDbOnq4smxsbEzLnVGcmWl1domLXiK4UFbEqFkpenO7m6KqDq6enBfzPo8qvyHq/420v3qnxumhmEPTZnL2Z/Hy86ExTAWkeYZBZOS02jwisF3D6V1NbaSsNDw9yG07SIiUQSotq14k86YWyhYFlZeTn5+vhIKeyczCyxyrTSgfEE680OrncIwZTv7e2lxsZGnjUbqLOjk7XNEYPqdbaY1lER2BkWxga6nBDPAutDbs4u5ObiwmDrRh4MmgBYBWStyQzkRqAL9mRt2ouBHGW5MYCgGYeFhrHJF8eacC7V1tRQf1+/uE3mF+ZFS+eH0D2Nne5kWtNcK/WaayZrrnBT4TuVBFybGu3gutMJpnk7a6ZV1ZXU1d1Ds7M7t9q2Iryz1N3ZTumpKeTv70eu7s7k5uZqAhxNg676mfF33t6ePBgUzdebNWD1O+U4fA721r2unaeygC/AnlmO579dnN3ohIMb+QcGUUpyEjXypDY2OqZzN9gB904jFVwryivI292TvD28KCszkzXXGd0RCtnBdQcTCtHAFOnu7KTq6irxKfb29XLn31kJx+HawPNFRkSQm6srOTs5if9VD5oASy8FKLVAulXGud66V+PPzV+XwRraLf++u6sLOTmcIseTx8nNyYFOB/hTTHS0aLo13Ded3E+j42ugawfenUnot1mAKxa0WHP19nJnzTXdJLg2NdrdAjZPAFKADFbNW1uaqa62lhoamqgLPtOJccUsvcMJfuHqqioKOX2a3JxdydXFRQBOAUUvfjXSNhnwDP42ZnyvO8YAPL2hocL3y5qyF45Tv8NvqO9NM8AZjPfubm48GfA9spbr5+NDoWfOUEJ8PBUU5FJVRbksHDaxZtPd1UnjYwy6ywBd3cPayWZJ1VwRLeDr5S2yl5lh11x3BAEoUcp7YKCf2traqbqmljuyklqammh0ZEQ0n08yjY2NUkJCPHkxMLq5uSg+Uh2gWcrmQBKfG3+n/4w1ZFPfaf82zwzibEJiUnB2dJZBefF8JGWmp1FJSTHV1FbzhFlD9czNjQ3U0dEm/T8xMSGLaXYt13ZIBdeK8nIJtfJlyyU7M5OmJicN+knAtdkOrreNBEhZIx3oH6SW5haqqamm2voa6uzqoPHxUVqcn6XVlWX74NIQ2gIxsTDFsOIPX6xZgNVrnUZAqHMl6P/WaLHac26G9aBsxPK5h85/C3Z1I083dzodGESX4+Kp5OpViROGGwERHtBwobHX1dRQa3MT9fb20AhPslhAWVxk4GWrxk63jiB/M7NzVK5zC8AthAUtuOi0BHBt5H60g+u203Va5cZeWpyn8dEhntGaxWcDXxxiPzFQALSrq/YCjZYQBHegr4/SUpLJxdlJ2Ftj4qugpl20EsYx+gUt0+C3GWuvL9fSXc+Avb0MwXsD1t4DIiPcebLAK/zLngzCwcHBFBcbR4VXCnkCbpbnRswwwLeJB29lRTmVl5RKBEN7exuNDA/S/OwUWziL0k52si4p4DpLZWVl4m+Fvz07M4vH8Mz6UCy7W2B7CGFPE2wqADwbYPaxVtra2kJDQ4M0PTPD39s1jpuha9dWqK2lic6EBJG7hxKupYLVZqC54THmQFGn0VpyfUvY4mswwEI7d3FxJldmRCrAzxfkHyCuhZzsTKqvrZXNHqOjo+I66uvrFSCGqwEuh+amZonZvR3xzHcaAVxVnysiBXy4L+AWQDy0Mbja9IIWArcnJyeojUGppPgq5eTkUmpqCmWkZ1DRlSJqqKtjsBqyibAX/D7uo7+vhxob6qipoZ66u9ppcmJMgNZO1ieASVZWhoRXOZw8IaFRiom/HqQ2AjMBTJwj5zKb00iNWT1+3XfmNjvojtecczNgjfMQD+zi6ESu/IpFPexUi4mO4gGfQdVVldTd3UWDg4MCuNiOjAlpgDXfWda+7LR1UjXX8nLFLYBNBFlY0JpicNVAkGiutrqJYHFxkdra2igmKppio6MpKzOd8nKzKS8vVzg7K4tSkpPlu/zcPFbL8XC3HmABnAB4+MkaautZkIdoYfGTveh0qwibJlpamunsmTN04uRx8jAAVUNw8wJYarRP7XcK43iAoqnv1rM5UNR+pn0vW3fhX3XH54b3Bta7KXCPBm6F9ceqbOoecG1ottB4AbqOJ09JZIW/rx9diDxPqSkplJmVSXn5uVRVVcWT/4R939kWSNVcsYtPBVfZRGByQcsGwRU3CY0VCzyxMTGUlJioB1VwLoNsTk4WZbDWEhsXy9pLpiQGuZUmz/LSAg0N9FF9XS11dLQrZsFtAPdPMsFPDY0sPDyUjh09olvYUsDIGHTUz/SfC9iaAC4jrVd7jsH5KgsY4lpGn+vYw52/Q/4E7ecMfF7Ij8Cfu7Op7+JwkoHXlY/FrjQnZv7MyVF8yfC9wh3gzH87OTkIuzgr37nwsYq7gM/D+bqFPURSqKxoyrr7xgKagLwrOfJvnjpxnMLOnmULsJatxDs/nM8apIJreVkFeblxG3P/ZopbYH0oVoOtLmghrhOJRGJjoigxMYFBNY85h3IZVIUZYDPS03Ra7a0D1+WVVeoaGKaaxiZqbWuhmWme+e0rtreFYDXA5L10/jxraDq3gBbEbpABRGq8qikWF8IGgKpl+OUAotrPEC0ABsg6OTpSYIA/NdbX0Rybm1iIgtUGxiCenJqUxDmIEujq6hRtqKKinDXPPMrIzqL09HRKTEig85GRFMpAGRDoz7/hLoAMEHZmMHbm3xAQdnMhV3cGazdXAWMnBuzjx47K+JqcmuAWtSsHm5FWc/VHbgGJFjAT52qrbgE9uEbFUOLlywymOZSTnc3AygDL73NzGFwzGFxjGFz54bYbXHHt0dFhvqdqbrRGGh8btWuqt5mQ/KW3r5/OhYXRcb3mugZiAmQ6Nv7cFFtyrBxjAaiCN/1dgCsDYFBwoITiWWczyHWRVUw8yHyGEKFxZD8bGKC29jaxBvPZ+kuIj6OzZ0LIk8E28lw4lZWWUFdnB48j5KKYEZDHNW6FwrKTSAVXdfurr7qgZdLnaoPRAtf534TqFohWNVetW4CBVsA1neJiYygrK0sWN7ZDELCohmDuetYsGupraXJ8xK6p2ghByLHL6WzwGTp59MQ6cNVqn5YAJ9gqIVomWPW5SgpF/ls0Vzd3iggPY2ArFrfS7SIViKenpmiIx1EXT1hIzwjlpqqqgioryqi2Tom/nsAC7dICD9JPJuiuaa7l5OfD8uLlyThkOnELZNMmwXVqelI6NDoGmquhz1UPsFmZkhc0MzNdkmVYG1znZmckgUglz1I9Pd20tLzId7YxXed7WFpckNVYmHTTM1O0CGEkOyBbmxBMD9eQr7eX7OuHW8AQ4GCOKyb5ZuBnig2Oh+9SfbUkkmADhol+6vhx8vf2ofPhERQfEyumPRabstk6K7hSQKWsScL0RDJyLNphm+zg4IAsnMzNL7AsIofuLZKp66uS/Qt5eSW0sLGBqmtrqLqmkmprquT+kI1N2Yq9yCfcucCrgquaFQuZ07CgBc1VS4rmastugVq4BaL1bgEBVN0rOCszi2JYc03PTJOOtxa4wjxDPCpm7oaGegbKGYNZCYS/Ieg1LFwRYaF04IP36fnfPUmPPPwr+uVPH6Kf//hH9NMHf0A/+u536Iff/bZ89vabr1HEuVBqb2sTn5qd1giti/6bxtbfvh7q7GiToPhu1pYG+e+h/j4aZNN2mAEVE9cCT2DoG/gr3dzcGLQsX+k3Zm9vRQMx9Z2WkVULvJmvdR2Q43g5B+CvTADq9xKfi4UmE4z8BK7OTuTs6EBOp06R8ykHcnNyIndn5CzwoABfP4l3ha81JjqGkpOSZP2hsLBQBj9ST3ZKwvN+Gh8fo/m5WZFtY1m+WRLgHWGNt4OBt66eaiqrqLa6mlpaW6int4fHJv82Twh3gsWHtsMOLWwC8tfs0DK2PARcbXITgQ646mpNRwuomqv4XBl8s9KzaIyF55oVTBX4mzo7O6i6upwBdkD3qUJoMGhL8THR9OarL9OPf/A9euw3vxatCb7g/oF+AU2t8OK9mhi6qrqGUlOTKTk5gUGjlYXNduJfcZ9oP2sPPEsJgFmPkjE8ocI/iGTfKN8yPzstbhn0yySbXv0Dg1TLx0DT82YAOn74IDk4nJDFGiRJgR/TMHwJ7xXgBaBttFBlVRYNFyFVpr/zsmAXlwrCKhCbuhZCr3xk0Yzfc3togdrNxZVcHJ1ZPh0kJMvxpLK4haxiAX6+FBZ6VpLJ5LK2XM6aMnZ89fd208TYsGhnqCpxoyTyxOMFeTKwEFdbV01lZSWybbS+oVGSECEMDOF0cEvcJrHbMuG51DhXLGjpt79O7ZgFres8EzC4SrRADCUmXjYC1mzZmZKTnUHxsbEMrpk37XOFbxVlTBobGqilqVk6XaV5FrSigkI6vH8//eaXP6cP3tsruTsHeaCvSIZ626XVlVUZKHg2bLstLS6mjNQ0qfcTHhZGZ0JCKDjgNAX6+5M/D7gAfsVn58LDeeKKosz0dKooL5PUhtPTE9xO1p8Q4K/CRhGUmsHCpCU0w9bE6NionDvDsoLgeESOeDDIODiclFVyZKUCyBgDkpb1i1N4tTACwBSL9svnAwixqQF/Gx9jAJSmWAVdU9+Bb/DeTP2mADBPRh6sHSNdItoKO8EkOTmDr4eLm8RwojZUenKqaKOY9ObmlbplSmWGrdO1VbjNFqXPhgf7qZVlErkT4NttaKxnTZdBlwF5kX9jRbaD2xbqAlwVnyuiBXzJj9tI2aG1Q7JiYRYbm56lirpG2W2SZGJBKxuaa5oSipWdlU0T4wiJurGOUEN6sGKK2lErK8qqLZz8RVfy2Zx/nZ57+knRemDSo3aUrRI6FRMNBBbaXVBAIA8Ud3JxQmiOwq4mQEcd+BIm5MbfMWOfO2IoXVkDcnWCZuhOoaFnREvv7e61yuo2iiHCn4jwotHRQR585tsW/TQ2PiobNrBxY42usybURUnJiZSdkymJw3u6u2VS9vXx5mc3ygGr0WzXrfxvBmCikW6scZpjk8B6E9czz5tfT+1vU98pjGt4spwoqRMR2uXKMuTOoAtAORMcRFGXLspmnob6OhodGdYVn9R1yRbpGp+4sLAoVgrCzqBFV1RVi1wISA3x9RfmbrtrQQVXJSsWkqYjn+sOWtBCD01NTlC9uAWiTWquCMXCThNlE0HGDftc53kmbu9op7LyUtm6is0BuA4aK9Dfl1587lkGHE9qYI3WGm4HaxMmFHR2c2szpWekU3BwCA8AmINOon3IIg80ok1MY+1gg6mpHL9+kMJHiIEGDefixYvSLqgccCOEdsYiDaJCYDK28MSGhCT9/QO0iIF6bYUH3CwNjwxRF4NlNQ82WCkQZhwHUIUbBonCxd/Izz/E1wPhnpDOD5MB4j3XTSZokxvUBIUBiprzNwcrDeO8DbTkddeR31L7wnS/rGccY8lxptn4HtTnM/4ccuDs4ETOpxxlUg4KDKRLLBfw/Vazttvb0yPxu+irGyHkMp6dnWatuY/a2lrFbVRbXcXWZZ3kU8CCMdxHN3r9G6HZuXmqYM3Vz9d3zefKeKElyLaN7tAiGp+aporaeooRcDXWXAGuWZSZmUFxsbGSlWZsbPNoAfjxAMLIl4lVWAxqgAN2+SwwQKnnD7G5ci48lLUeT0pLSxZTyKaI22eeOxjlrZEZKtDPnzwR5sMsIT5GA8AUaweK8YCxiFkTVJJWO9GlqAsyiLaaa3ZhfoHvP4PCzoSJaTUyzKDK2gn6srWV+6i+XiaNwaFBvTkK8ws+PFSRbW5sFFcHNN/2tmaqqa6QNunq6matoUUyFyUnJ9PZs2fZTPfSAKzO9AZgqVojA51skdW9NwV8MPU3BWSNFmqqXbXtbgDQOvCU7/RAup6115Rtrpq/N2Xdb2nvQftef4zmGZXvzN+PuXtAW2OnGXaWYcMC3E0Xzp+nzPQMMam7ebKcnJwUa2SrBA0RsjA6PEwd7e08hptkHMNaWZ8zAVUflLjfedaMUUUAi+VY4BtmbRvrJKgI3NrZRW0dHQLgjU3NVM/Xq2+o4+vWUX1dDdXWVkn0ElyV5aVlUkIbFhEUFUwkpha0Gm1/QSuKkpJYc83PpRwBViViIAtxrrJDK4ofLkOyuRuDK/6GVtfT26uAaW2NzHYLC2v+VC2h04bHxulqaTlFR8fIzLMpMdDBHIIpc/VqkQx8rJ5qTQRrEZ4HC3dIYhNyOmjjXKbbwkaDjIEcsZswFQP9A6kJ2v0Gi3RokVVo2rMz1MsDobCwSMKRTmIDAGtAZ0OC6XxkBF28cF5KpKSnpVJhQQFVlJVLbSoMSLg8IMjI8GRqYC7OL/J3c7S6jF1OC7LwEHo2lHzYlDVoKx2A4DOYvmD9d0bHbMQAHx8GQwOAMsdWN/83ZtyTKSvFgEWDtu59mWoLfKYy2hzAhMU1/B0RHk5p6elUyZZJbw9CuiYYBGckSgcLYvgbOXwx6SJ3B8ZwX38vWzNdYnUCEKVke9FVSklNl3C2Yh6LWKQrK7nKr6WSxAZx6o18HKp59PK5w8NDssECVirWWJaXFml1lRWETcauNp8r3E5wjUj1V81pGKs2m3Jw/fZXneaaq2qvOQKuMbLokmGgucIvgwGIPf+YebCYY4lWBSd9O8+EZWxOwrxcXt74HPgcB1nLzc3JpJTkRFntNva9WINgGo2NDskONZhdqCMFc8xYgLWsT+Ch/XwjsBAtam2QqQNB/jY3AHWfY5+7w6kTlJqSyFZAj8nFDnUzBoLT21grRVwy2q+PtQYkvoagKkC3nmWRhV/xmzDnfVigAwOVEKRLly5SRlo6lRaXiBaLlHvQ6tHfmFhLS0qkNAxCrdS0hFrGZ+q15Rm3ADZqG23kt9W3IViurfmbWd/OpvqGPzM432JW7l9/7Y3Y6HmNz/Hw1PYDkpO7kRv3h2ylZc0UMbsqi1/W1UX8+s6OyHvgxsx/uzrx5ImsXW6y6Ofj682arJ/0C/JCXLzIkylCLuMTKDc7i4Gwgi2XZrEwobQMDQ3TyOgEy8+kLITNM/Bi4lxkMEQ/Q44w0SIf8jWevBFrfiNjEOfgOrimsgV5QRQxgPzMzLQktkclDChQ0Fbd+dl8uK1zAK4mogVs2OcKzbVmw1CsbEQLxGFBK10WOtCcqEUEVR/1+ZHJ3dJFFwx+AGP/wAANMRhbYq6gM7ZDQ1UJ1wZYFOTlCfig1LQeCNbxml9V/dt07Cc+Uz43SCbNQg/TedPBaMx8HjRoJ0cHWXxEQLm27Va4/REzjEiAJjbjEVKlToIq4TO4aFCEEOCJAa1eXx3s5u5LHfgqQ9ixiht2JpSSLidKYH7MpSgK9PUlDwYEdzfFXyztyIzwJfVc/XVZIzcFxKaSYCOXrIsbJjulOq1cS14N7w2/JdfFiryrsyRowTnqs6IvVMbx+E77vcrQRCWiAKCI9/IZn8N/qxOF8e/iecHoJzcXR7kuTHUX7jNnBweeGE9KVrETp47TKX51YEZiF2eUN3f1lFLnSGWI6JLzFy7QZR6PmTlZdKUwn8rYisI4xViDa6i/r08Uk4nRYVGQYKZDKwRQQVlBtAnMdGuOG3UcQq5UBjhCwYKlg8VqgDRCLJFTGfHRCLUsLy9hLqNytoxKrhazUlVKNVVV1MhKErROLIx293SJ22AAzzQ5rlxzZJQ146uygQAKjKQcnDaRLNsmQ7G4oRBMrroFoLliP3Quc1YOg6qOsTMrNhZuAWwiUEJ4sOcfZkB3V5eYjpZ2oto50Hqt3fk3Qgj/QqWCyHMRPCDU+E3rswFwmdKeNmA5l8+BpuJ44iTFJ8RRJ8/qSwyouH/kEkVoGwbd7MwsvF+6p1tP0EKaGZixndl7i/ehTCRrYAMXQyBr+AjXg2WBlWgMcFg3kIv6unoqYZMxNy+HwTdZ9tlHR0czcFwUgEemKLhdgoL8yD/Aj/xYy1JMQJ58AGoCbl6yQycwIICC+VgsJIaFhVN01CW6fDmOrapUupKfLwMXv9fR3kF9vb1ivhYWXqFEpMuMiZX9/e4M+vBNqlEcuH8lUkPxWYIdHU7RKQZBB8dTMpEh4YsDf+bkhLLj7uTN94Z7DQ4+LWF0UTyhoNZYckoSpaelcVvkMCCU8CQG/yE2xzQo99TXT8NDQ7IWgRAohLhh3CyvLCvjYRuHAcba6gprnwBClg+Y/givw6YHWJDIOIek1FcZyPJYmUpLSaWkpESKi4uji5HnKTw0VPoO23NhobayVdTR2SmLnT0MipjQ01LT5Hv486GwqWCP37yRcDLgglr9Ff3vw3KQJXGupha0doDPVRstgCgBNDTeI9UXBgVe0THQWlHuAuZGPg8cAK0t0SKDjqyCbyCxWCHvZMFKjL8svkys+iMsCpqQIaAo2qcKKHqANMP6Y6B5ifa1dr4wTFD+3OR15BwTnzN78L25MrgCEMrLSmmQrYbW1iaZ9QFmllgAIAAvwrJQ0RYhdlgAEW3P4PeU+1aehTU1d/h8+Rg1zEqnzcG/Gh0VJVuWtx4upkysAGQMENw/+gyLIaggAc0FAAQfG8xFRJssME/DbGRwQpQLYnWxm6yHJxVMNi3tbdTcxsyaTElxsQBdQUG+uJGgISG3AEA+8XKCuLqw/bWkuJAqWLNCQvi21lbRurBgMzQwpPNJzop2hvuDGYz73n5S2gTgC2tjgsfcyPCQTKJK5QPkIqikYtZmxbJkczk5OUksGvjSI8LO0bmzoXSWJ6NAPz/J4u/ppvjt4YN1wiaHUzyZOCgTCtxfEjrIk4wSs7zmCoPGCNnDLjZMbqUlV2mSNUstIcczFjUxiWzm4rOUIBsSilVRLjIHq8FcJQIbjRa4zrPoNFXzzBUTc2nN58odhsWrlKQkusyzcmZGGmVlpVMBEv9WVlB1ZTld5pns2OHD9M5bb0umJCyOQIVv4gftwTZAFoolC0usAAOhhZlbPDFHCIDG4CorKZE4XGg9ML+wKwZ5aJGUxhTAYrBW1VRK+JAjaynIFQkQWQMXhaHdKKatImxerLX4YBZlxnt8ppqCqmloEjQNGL/DxzFQGYOaAmbaY3XMgO/IzwXN6wIPHiy0wYSamJzi9rrxeMSRkWFKYbAJCgpc/5saNr4neVZ+RYhYbW2dgI+W0ObQyBaWFmSAjDNIYSMItFkAGKpH1FRXiXaJCQ7aE2JqAYLCfM3ammrxCSLRdBVbFrUCkM3U3tJGHW0dMjkg+gR+fvQz+lQ0QZYJJWToVoAgnhUTAybzRYm0wGQAMMR9QTOUFIas4TU1NIopXMkTYxFr1NkZ6ZTEIA9AvHQhksLPnqFA1tyxcIO2hXbtxOB38vgJ5uPy3tmRP2OW1IZYD+BjtP0ijIlPO0Fr38t36+Vcy8Z9vfa3J8ufuyghMZcuidaKCRVa8SgDfxk/F3yk6HduFaVxboJUcFWTZWMih1vAFLjCDWabmitrAbUan2tObjalZqQy2EYJWM7NzfMDXNcvlKBqQUcHVgBHZVaH6j/LQAoNGEKFIOfhoQEZuGBoVZh9AZpomHaUseZZFyAey6ZpSHAQa3LukgugualBzFxzhPhX+GubeJAh3jIoMECJNeXZF36+yIgweRbcC4TeFI2OjVNewRVZrMFsjdhaVZBUXxp8PMi6n8ymEbRElN4eHIY5B4f7rDzPFAPbEH+GlXWsjBYVFkluBvjLsANLrqeCp0ltVAVW/L55Hyz8d45Op2TrKXKJKm4YBjMTk4blpPjOEDOIwQ5tR3+vFjAmIuw0Q5gMEp/UM/ihfLWbqyM9+ejD9MNvf5O++c9fpa9+5W/p7/76r+ivv3wfffneu+lLu75A937x8/Tgd7/NfXVOgAdyoTJk7BqzulBiamK8UcK1cH0AAkxVlNKGNoy+RKgSFlBGWG4Rg93R0cHmL4MhW2cIYr+CnK5s9mKzCHILnAsLp9PBpyWnq58vaupDK3SVUjBgWBhwJyBJNhjbYTE5Km4GZWssNEY1KTdY3BVIzK1Pzs0MnzH8t/Dbqpoly/ma7FjGkC1T8mXuc3MMGYGV5+PpTZfjEthiRQTApLgJGusaxEdqrR5TwRUpB71Y60boI0JCgSFaslnNFaRGC8REX5KdIEkMEFgt7+zsEjMNCyUdbCphIHlAgJCN3cmVBUHZVeTm5CIAh44/cfIYHT58kI6wRou91ljwgClxNjhYUr6Fh5+lMyHBkhcUQBFx7hyFhYTSxfPn6cqVPAFv4wG1ylrIxPiI+F4unL9IPl7eiqaI1VQWOGwdTEtLoZ7ebj7XvLaC647zIEJ9MJhHEFjFv4rFFkXIsJiAiAgMLnTsjQxuaDBYbCjgySM87Ky4AEwJ6hor4GrqO6z4hoWf4bbJl00AAAYIExhAgUULgBI0Nkw68IdjUWugv496GIRbWOhqa6tZ+yunKiwolJaKuXy1sJDKS8pkqzFCseA3NfX7JpkHmL+vL6UmJ7KMtMvvY9UXYT4/+sH36d67/oI+/6k/pV2f/wzd9flP0xc+8+f0xc9+St5/8XOfYqC9n175w4uiwW5EaHuw4fPCd4jfQxwlg+IEm8sjI5IHoYdN5o72NracGuR5iwrzBBSh5RcXFUop7Uo2XWsrq8UF0MqacltLq0RQBLDpDBMZ8qxfkGKtEAyfrPwtDCuFgU2sDqN2kQkUflwGQixmebrS5cQ4KmC5zs7OodzsXGFZx8jNYs5mkz5fatQV8mQPLi68SiVFRfxaIPHl8CvDJD+4/yP64L136RC/Iln5ZhMhZFldtNsKeBqw+LzXZFe5pvIebYGYZolTra+XCRY7+ZaXtuoaMk/oe1VzRW4B2f6alSUuIy1BNmy2tDZ8WPDfwEEPAMXec204FW4esa1Y1PL2YdNA17FobOk4FiostkjDs9ApM7gzv2ILH967kAtm7VPM/CplL04qq6UwbQDACXFxshIKoMd23GbWjAuvFNClyPNsJvnxDO4mMzoEXX6bBRuzP8AnmicF5JxF5q6E2HgB7TMMkngWaJVwN4AATDnZWQIM2GIKHxKAL4TBPi01lQdbI83y71trdxiAAAtMqD+GxRgMWlVQTbHxIPDjdsHGDeyokggA5kYWZMnJ0MrmcUe7TAIwxXp7utjsZhOZLYXx8VGepMZl0UQ1lTFJoh2Qn0E7XUywtpaekkang4IMftscY0UdWj2AtJ61ugW2XCAfcwvzMpH86PvfFXD93J//DwFVgOxffPpPBVzv+cJnhe/bdRc9+IPvkT+bwMXFRRL1gFCa+vpaqmcZwHUhj9gNhsWThoZaakbMZHOLWBDyvDyRDvT3SPwkJhSsA0D7hAWFrdST4xNUxpNHVUU5LS2Y3tWGcCKsbsexnECW3FjGLNPe10+WAjwsSzgfyYUC2IxFNQ9odZYSJuXu7k7KycykSFY6kIVMcg+w1ubpwZYNX9/URG3KnbUlNmlVbcx4XihJ2VkZsl6DeFhMstYkFVzF5+qhbNpBJYIdk1sANDo0zDN6uTiLoU1gscpYY4NbAJoTsmMBOAF0a74bvBp2MBofgoaVVwcGVQDkxUsXKDEpgRITExn44ikmJpaiGBgvXTwvWYNgZqLekSuc62w6wbRC+A5AWwUeAwDi3wfQi/bMWrP4PhkwMVDC+XqVlWUCLKA5HnBNPDhDeAJxOHGCZ0Ef/t1LVMkm38QYtvNaVzBUAsBi8AO8ZeFIe/9mtAp8FhERJv5IuFy2k1AGOjHhMk9wfqLNK+ACLdr0gMX3mNDgMslhDay6ulLcMPWsOSDYG4tEF89HELZSQ56KWENGG2NyACjC76oFQwweTOSwjhBjrMjd1q0FLWGwwXSsrq5iYK6Xv00Rdg4lsmaJyISNQ+/W2LC/0EZri34CcnwNR5Z3TD7ws262yAdAgt8YRUFPnw4UGVYWVNfa35yMqGzwHYASawEmQFjLJs81wcbHuDPQo/ov1lgC/Px54i/nfpzgLuM2NsKMm6U1cNWV1uZJXXZosYWm/SX0L/Ij2Ay4wq81zcKNRQTsqMLOqgUkBdZ9b0x4UMSB5rGGCCe6sw5c13cQOtVQMOQYFhiY4djGqTKA0OAYzasp1h6n/Vv7GcwVaMbJKSk0OIwVdGWxB2nXLifGi383lrXkltY22f55IwMZPjpsA4WJDU0Y22LTGTxhxpWWFktuTyQ0Rpo3gDuELz8vj86GhIjmYWoQS9YkZj8fb/ElQ+MFMJsifA5A0voLAVYwj6W0M/82VpWh1SJPa0tLiyRdbmxStF7kAcUOGgBjNt8/MnNZkmMVjHv3ZRMtmicmrAybA66bJcgb2g0hQslJl+ksT4pnmBEAj/a5cuWKWFjQVI3vAUANvz80Hjy38fe4NtoNoI/JGz5Q4+fUypT2M+PPtX+r7oQg/0CpkjzPVoMp+cLvo/+wvoAE9N5sDWChUr2Wqd8W5klNuQdljJm6F5Pnom912qnBMZrPDVj3OwafcTtBRgJYm46ICOf2LxA3gDkZtQap4KouaElpbYkWQM5n3UFM6N/b7nNVOxXxZxi8uGmYX9BIZbWTgQAmFR4I/jsMVphdEzzDY5a/UlggjQstEQHa0uhbNCn0nYvzNB1ufNyNsoAUgzj8VzCz8Mxo/JHhYaqtquLXkXUCgX5aZc0cIUGm6Tp/vyoxivn5+RTKWpv8Dn6PhW6Nlb/hd4O2jZkWpr0/QmFYU9ZOOmusaIkwt3FcbFw0lZSwqdzcKKZyXT3yMrCZzH1VAy2xpkoYpXAQlSHB12xKYrfW8NCg9BOCrLEIObewKK4AaIRoAzDaQ+VZBuf6+gZ+nrMa/+HaPer7SsN4PsQbYoAhhhNxiLiWtQh9A3+1F/fhg9/5Ft39F58V9wIWw176/XPiNhgfHZEIA2zZxYImwBaTp5qSEpYX5BbZyrDQYnx/8MsjEgGxm7COIM/Gz2nq2YUBSAI+6wEIygMWpLDZBjueTJnJsEQw+V6IjJTcsFgcMvbdrvtdE2NMvT/T92jis03Y3PUgl76+vpIgpqSkhIbZ6rC2+W+O0G+IyS3jSRDROUolAnMFCm+TWwCmCeIQq2urqJIHaEN9vRRpgz8SwAqtCqvbspLJJo2LgxIHh/APzFghIUEyc+C9Ah6GHbCeMUBNL9BsxtrONSk4m7AMfv59RDlgkMF/Cn/jwEC/aGsjQ/3iY0aymqmpCZqZGqO5mUkBYnOzMISptaWV4mNhQipbR00J4g2zuwddiLjAAtIscZ34PSxUqaAo4GBFAAPhmggVulKQT0Hi29vYH6xlAAu0cKSNRJ2njRYRt0pYmd+75y36Xw98mT7zp/+dvvDZP6e7Pvdp+qv7vkSvvvACtTAwIdRKiJ8BC6AJCQli1iPeGtVbodEPDvbR1aIr4ppAiBDy5CKPaU1NLVWUlYkmfODjj1jGT4pbCX2qslhkCLljTQkRJXgvvk6wifYQt5XOMvP29KaS4hK9O0olxBUjdOlyXAx5uupCqPBbBtdSxo3xIpTsHmPWuscsYjwHNmGYuW9zLPLN55wJDuEJLIM6Orsl9vhWE2RU3AISLcDP4u4pmqspcL1tC1rQSHGDWOCJjrogJt1ZbjhPmOUsFEhjdurESTHToZGihC1W9uNZEPAqSX51x1oNUIzYUrAydRyEAWYVAAJmGXyu2GWmaq6YXLA4gsHi6eHGMyAPCNY+sAUVs2GAfwBdvHiBsJMG56iEToMmWFxcvLZddN2AsIRN+zDVa128dF7iOeEXviXEbYJ93ChPEhFxTtpB6+fbrC9w30H+/lTIpjn8p2inmyVonaiNlJqcTPs/eo/Onj0jxTCVAPlMCcEJDwul9999h55/5hl66onH6NmnnhB++Bc/o4d/+TM5D9UnMJEivhT70EPPBK/FjrJ8HDtyiF547ln61c8fop/+6Af0q5/+mN5+/TWWGWfWOt3ow/ffpycf/a1ozT//yb/RE/z+pRdfoHff2UOHDx4gh1OnBEQN5IDlCeVhAJiXEy9Td2+PgRWESQzPAMvEBWVjTMiCMRv0gUnNFcDJ19kEODfqR7BxX/tzvyI7XjVPQmPjE2yxbY/bxxJSwbWqokLWSNRk2cg7wLaX7qjb7BaARjbCphRCZw588B6dPHFcQkqUnRhKkLy69S8mJkZW3i+cj5RBB0HSNv5mnWWO158HoQDobKzhmvo95Z4VxntV0AF+ANeTJ4/T5cvxNMSDDGE7IPiHkIMVgwzB2B5skhlfE6vXCA3DPnmEY2F76OmgQAFgaBmWtYP6XKa+U9hYA8HWPmzNRKWHQtYkOzpaZZXfurrqGsFV0NXTR0mJyRKvqL03U4x71d4v2grJQAB88PHeCLhC+8DuIiRAfvnF39Ojv/41Pfrww/TU44/K35jg63iAq42ASQ+7qn7w7W9KnOxn//xP6LN/9icSlfDjB78vvnRMhCDcD/zQ2NKMQacSgKKdtUdsWYXseEMzZYYvUXk+TNKu5MTj4NixowzWH9I7b71Jf/j9c/T4b39LD/3bj5h/SM/97gk6evgwH+8p0S84DhUzkCwFGhQKGoKgvSLPbVhoqFx3w2gRgKQA5RpY6ttcvlv7TNsX2uNMf2fietq/dWMn9GyIbHnv7ullZcT82sutJAVcZ8R3rhYoVKq/2lgNLfhUsVUSQfbYYYE6P1qzBLF0TqccJTYVoVTIV2qoqZrvJGPG95sdY46Nz1u7lmKqYLU/LS2VmpobeXatYYHIowQGUmhgWG3FMYhXhJaALP5I/guCIoGwmDTWbFDBFJPGRsKuArbKxs8EodVmwlK/NzzOcLBYwvK7Hvycp4MpLTlFXDgACmtohyphoQ0LLmcY0I2fU8va59X+jXOQvBiLeNgmCveFKYJ2gQxHWLHHRBXCExW2nyrbWWepsaFOFkaQ0GNsDGXUFVBaZVmF+R4bGyeTHfa0YzUdCz/f+9a/0t/99QP0z//w9/Tc00/xM5yWsDRt+2CLbE9XO5VXVlFTazstIfaS+x/Pja2bZ0JOkyub5o7OiGQ5KREtUCwkrwSD7rrnZpmCa8DX11vcQt6sRYkVw8ceP3KEfv/sM/RTBl6EoT3+yG/ojVdfoo/e30sHGHT3f/gRHT96jK+jyK8qD8a/sY5xrByv/dzEpA3QXXecadb2H+TX39eP2zZBcvlKMhSNtm0LpGquqAgttcv4ns35XG9LPldkz58cH5VVV6wUY1dRY0OjBCc7O7NAyW6P9R2hZXOCgM+13+nfm+pw7cxr9J16He21jBkCAU364oULVFNVvX5RiuUCvkp0xghrqQjNKC0vpzKe9VA1FmFNLchFyaCcnpYicXMYWEjfpgLMZvcgbMJEM2a5xgbHbfQ72u/kmXm2Dj59WsKl4DOelj3dNw60qBqARSxxc5gB/o3uT5jvC75IxOAi9lTtC7xiIkACFWwceeuNV+nRRx4WsxoLR/CXIR5ys/AkLeGaWATC6j+iILBwhd135q6B4/EbV4qKqLOri1Z0WqRKkBMMWizsTk5MShrGxvo6WUTMzEqXEDKEBcIPDTMUYKvstkJ89imJYXVxZCXE2UmsJIwfxGtfuHCeJxEUA+xlwIqld/e8TY+wNv6Lnz7EmvgLcj4mdFhNDidPMrg7yziQ7GgmxoP273VsJFvK8QBe8/2JV8gTNPWI8xFUUFggidGtlQdgOwj9pM3nqlQiMA2uTY23wS2AwZSXnye5Pac028YQepWYkCiLKQjkVzrCfAdpedPBZ0VWTWgRDB7QGenp1M/3riTQ2JzQQWh8rPZjkWhpcY5mWZvCNj2EEhVeKZSVUGgk6xcYTPBm4IqBwgMG7822k5GvDMfgOQ2OAeM66nH8iuOwkASQ6unuoOVFyzORgXAsQsTSUlMoICBAntfw/vBb5mRg7TvpC9biYmOjxexWtUZkqo8MD6N9b79F3jx5VZSX0vTUuOw9v5WEsLSaykpJ5oLcEzdCaCvIDCZsuCQA6L093ZJIvLykVILnsYYB3zD8/YjvhYaOhbLDBz6kw/s/JE8GUyT3Rt+izRAi+OpLL9KPvvdd+hfWvH/w7W/Rk489Sh+8t0+AG8cYA+3NMq6JV5EbNqkRe7vdsdPWIvSB+FwRisXWAsBVcQusr6F1W9wCiOfLykjjGbqThVwRNGwIgMN9ggUG8YLQMrAIpHaEKTYJEipboM2BDXyNGzrjMYgVgFIZZtm5yHNUx6bkgmbRyRoEbQdhZ1cKCiQvAEBc2gLCjt9nkFvzy+nuh9kYEC1ZYDDFuJb22hsx7gsMjQfa59WiQlkhhya2EUEYkTylkDW6zZK0mGO5T34+gMmxw4cYKF6SxSEn1sTaW5rouk6DvZ0EIEfKu/KyYtFcbxRcLaGZGViBdVKdGK6Gc+FnJQ8FsnCFhyruN2ir2jaEJQJ3khtrrocPfMRa7fP00L89SN/4p6/SDxl0X/j985LuUNVohXGejo3lRP1OfS/f62QXO7yio6OotqbW6q6lW0EquCIVouIbVzTXKbgwdMeABFxvx4IWfF5ZGckMrh18G0rSinwGETj1sW0UoTjQBuHQRnE52XmldtIGrO1UBVAMQUW+EwFZf6311zbUlvC99hiACWbe4qKrNDE2obToNhHifBGilsvafnjEOQFMKU3izgyhxUSiE3j1/jZjfTsxb3Se9jhLQFqdAJABDBnBsJMFg8hUZV5oYPDfIo8ABqyca+KauD+D+9Cwk4sjvfX6q/STH/6A/vErf0eP//Y3bEKfEXNdqeJruRa9nYSFLSyCdHZ00KKZMkPWINR+Cj5zWjTSRCyg6uLFV5aWZTHudCArLUi+Iq43E/2JsSFjxIfHnTOdOnlC3A5wN5w4doz27XmH9rz5Jh09fFBk0AsRDwZyYThu1EkXY7uk5CorDNsb5L/dBHBV87n6wNct4IrELSY019sR54rsSSWlpVRcUiIB8ElJSVK2w0kWtZzI1RGJV3iGZVCVUCwNgGykkWoBUPveJAOMuNNNfrch8z14eIjPESW9x0bZxNQ06vbSdVpisxuVFhDPiUUV3AeeUwE1U/drgo3b0Bg0jf/WsEGbSn+YP1YBSy86zfeYkZFOKLsD8w/thQGG3XXIceDn66c/x6DfTF5fmUSQkGfvO2/Lavn3vvMdeuKxx+jY0SOyBba0pEz8YreuXzYnuAUwIJG9DVEX1iZMXmMjoxL3jK3aSAhjnKkJeQuGuc2RZQ6+bfj21xZQDdvZoJ91fPLECXrz9dfo5w/9hP75H/+Bvv2Nf6HfPf44HfjwAyVGVtdfHsjoxlodShJhbCNaAYuFttQfN0p4BmiuapwrtsAqO7RMZcW6TdECuMGa6hqKOBdOR48cpPff2yvhIxIxwICqdi4GKIKVwcadvY5NDkblc4NBa47NnW/AnuTn40fZmdmywwra1+0idCD81/39vVRdU0Wp6akUFhYqmy9wrxKED8Ddqmara4ONjjf3nfHn6t/oRySnib4URfW1taKJY5HpXGi4TKDac1QXDABAPR+aLQAVAHpw/37CAgwCuCVZNiJIdM8Hd1JBXj6Nj8HktC1wrayqpNa21nUD0RqEuHHskkN2MaR/3MwlgzhXbNRBxjVJM+joQB4uakY284x2BnAiw9b7+96hRx/+FX3rX/6ZvvfNf6UXnn1a/LTweyNGGs+8k7VUUyTgyhNFJVsh6oIWfK6Ih9bSbXML4MdnpsZF+0JYCzpN0XJMdejG5rnynWlAXH+s7jMIiA5ADD7HexYuyfqjvR8BeCX5dGBQgITqwB9qi4S4yUkevNi7jz365y9EUgDfMwAWCWXU59I/rwwWtIfuWY1YduaYaC9LWf0d7TXwNxZVULp8s1LVOA8m6cED++nR3/yavvb3X6Ff/PQn9N7ed+VZ5LrqsczQ5JGYRanGaTvgiiz5NTWVUql0O8BVT1t6ZLYglhdZSRiUHWMXWVb82NTFzjK14CBCILHRQdpY3394xbjEOgAmPVe2PP0pLSONOrp7aKB/gAG+XXLRbiUKYycQZAq5k7H9FXGuyC2A0v5YR9KSgOvtWNDCiidSusXHxLJazR212WypY3N/a1n9Tr5nYcDgc3fHTinzmi+OhU9PzgG4akBIvufP4Dc6f+m8bNVFMu6dQtfYFISPu7O7UzLNw78JAPJBliKj57QOY+CtAd7WWR24Sj8cYi0Vu5O+/k9fpR/94Ae07913JFmzLK4A+HWTL46F/wupHWtYQ7zRBDjbRSq4trQ00eTUhA3d2RphLgIYTk5NUXtHGxXyJIVk9Uj7ifAuZyTPdlY29jiewmKzp0S1oLikslp+TeKB4ZI4fugI/fZXv5Rtw6iMLLvmbPGht0iqW6CyUgnFksQtWNCylWgBhJEU5OaLkxsDXA+GljJmUPhLjbQWg2OMV8nFNFaOs/S3ZMDy74SfC6Oiq4VsSg3ucDNHCQGbn4ffdojK2bRJSIyj08GB/JwKQIEN2gcTFL+aa7OttOf64zT9w6xOcJgQkZxjLwPpb3iA/vzHP5JBqsZhas9RLRtYG4ioQOrI9vYOm+snLOohqQxq5qPOli0BvyWE2FP4TbGrELWykCcDMeoAGlMhiGh/bPdFmaVXXnyBfvPzn9LRwwd4HF2h5cV5Bcl3IKngCp+rtztP8DzBYEEL4Kp9ptsGrvjh7s4eykjPkITIGNDKQDEeOIZsyUC25BiVzR2H+0GYBeoIYYZCLSTc851IkAcsMg0O9FFVZTklMzidDTkjz7/WL5uzti317wGERmBo8jj9e4RUuRFKkRw/dkxSSMJtAC1bBVXtOVrGvSKXZ0FeAY0Oj0hyHFsipCrExhHRXPm9LbksNiK04sLyirjBOtraqK21jbXQkS2Z+9idhuTiKNuTmBAvta3ULeA7jdY010r99lezWbFuB7jix7ENcWV1RVLmlRWXSpISieXkwSUrmAYaFAaW8SBd+9vcgAOb+k4+4+sjNhK/5cYMn2owA31CXAKVl5XREAuAWi3gk0bQOgaGhqmsopISkxhsz54RDR5tpQCucX/w+3UapfEx2s9NfObhQQ4OJwn7+L/xtX+inzz4Q9q3503yct94tx76EvcEQYeJil1wxtmfbIGguSI1ISo3jI4O7whwhSujs6ONmhubWAsdsFqg/8L8rOTDRcKiyIhwWYDbKcqLAq6zrLmWS/VaZfurjS1oGdO1a8t8gxOyEJOXf4Wise/7TLCiscAnq/GFahkDbP3nSjUAgIGAJ0rwstmIa6DWFbLvnzlzhi5cvCQF7OCjQ7XWRe70W71zx+aJMQDpEVEdoKq6ii5fTlASWTPYrlv4M2aN5goQND3RsUnPEyp2BGEf/De//jV68rHfkqMjKkX4yPdrx5q+Bvr4dHCQLOBBq7JFgt8b+QZqGxqpf9AYXPk9/w1tENmVhof6aWiwn6YmJsVnfitpaWGOx0IPNdTVUHtbi6RPtDbw4dlRfhxllFC37OFf/JycHU5JPttFuAxsmPSaa0WFaK2IFkBWLCygaglthtzGNgGuWoLYjU9NUSU3NkJ3EmLjZFMBYuYS4mLFXIeWgkgD1MxBOFdqSgplpWdSTkY25eXmyY4ULOBgd0pTUz11dXeyNjoovpHZ+QVaWEFeUuX37GQ5QbgQ5oNQnrLyMoqNi6HTpwN0k6AGaDeJAgCLb5XPeeuN1+mH3/kW8zfpzddfNTpuDVzNMoP8pQsXJAkQ8qbaIkHrQ4XhWp6gULRQBVckmIFWW1NbLeXEz5+PlF1/6Rmp1Mbgps8Tu40ESwW1zaBpId9Ff1+vVKK9FYSqDXBHJbEmm5uXzZMQ6ntpJx7bIj24VlbIdmsALEKxsAio9inotroFNiLcJCqiVtXUSAkNlIZGKrnc3CwpW5KbywCal0uZ2Zk8uGMJ1RfHxpA8xE63mhBLisqXKN2CCfDMWZ1WCwvCcwOtVmU2DZEYGrlL3fnVAKA3YfwGADrkbBjlFZXQFE+atjIsIcOIgYZG09vdQ/U1qN5QLbkFMDhBC4vL1NbaLhspIs9HUHh4GF2IiKTE+AQZmAt4Hs2AtTYts4LRPzJOtY2N1NBYx/04JaBgJ/OkgqtsImALGa4B5OhVMnjpDmKyWXDFzKWU1q6h2NgY2VECMAUrIAvOlsTFAq4MslMTY3yaXTBuN80vLEjRv7y8PIqIiJBctR7wbbuthcIBfA8f3E/PPPEY/eKhn9ALLzxPTi4O5OG1EbCa0GA9PKSC7ZX8fNakh2wCGGDaw0JqZA2wlpWDrq4uMa2NF4Bg7qPmGeQYeYpRWTWKrbG83FzJy7CVBaMbIQBEZ2eH1CxD8hfUr7PT5gRwNciK5e0tPlfZ4q1BV8iiTZbWxk1OsUDChIqJihJwxTZZFWBVkEU+zbjoKMmsMzpmnezzdrIeQXPDKjP8U+jDUCyMsRl19MhhevLRR+gf/+5/0ZOPP0qHDx0hD4S1qACq89OqbMrPiuQj/n7+bE4mS8jPbSUMONZQUYCxqamBBvr7Nl1Ug6xiEkIxyYuR5yWeFOWg52a3d/MDYlHnZtnSaGumsrJiiT+1YSvc5gh9o+YW0Me5YvvrFPeb7hgQ+reJLQLb01z5AaanJkXYkMsyOTmJ8hhcs3OyKYdBFZzF72GGxgq4ptPY2JgdXG2ZeFAvLMxJaZu9b78lPtbfPvxryWSFROFSkwmuhA3dAvDRgj0oOCSQ5SBTwPt2xrRiQM3zJFLFGmBlZbksXFkCjpBVFG+8WlgoJY5SWca7WZO8fhN5cTcjZJ2bmZ2lahSWrKqiSQYEtYCinSwj9C20fqQcxHbuDVMO2uSCFt/j+DQ/QH2Tzi2g+Fzz4A7Q+VxFc83KlDLAWZkZNG4HV5snLDbV19dQ8OlAOn8+ggYGB6T4IZKJoFbYlbx8upwQRxERYVKRIIiPQ2VflLoB4z1yJ6TzpNre3m5QW+zW03UpNjk2Pk5tLa1UWwsXQPuWAuQXFxbFdLx8+bJwA2s6eKbt0FxxTbhOUBQRibhHRoZtbqPFTiABV56gkBdD9bkiWmB6p4ArBFfxuaKsRgwl6sBVZVVzha8jLjqGNdcsO7jaMEHoYCbD94j95ouLG5nMyi4yuBQQlQAAwrlgAA8+3w7wsYTwu7gH+FTrG+uovqFOqhAgy9uNyB6uN9DXT3nZ2ZKesaioSADQEtBDfgIkwImPi5Pg/PT0VClN097aRr09fZJyEclxMMCRE/jS+QsUGnJGjq9krbW+oZGPr6DW1lZlU4N97FhE6DNFc61gzXXN52oz2191v2+WcJPYIlgrboEYqV6pB1dorqK95shCVlwcg2tmurJ32S4gNkkrSwtiYbz6ysu079232RTOp2urO2eDBiIisIjR2tosC1UDiInexKdqKSHhRz1rkpcTEig1KVmqCmyU0Qo7z/r594MCA+jr//j39IXP/Dl951//hZA4HZYdFtHg6+vq7pL7RMgcxpKxRoyxgqxVAOTW1pYd1R+3k1RwVaMFsE5gFlxtU3PFzKzTXKOjJBRLu5ilLmhlZGeJZosFrbFRu+ZqiwSNE7HG77z9Fj3x2KOUkpIiK6s7iUZ44q6urqHmlmbR8qxJ2LQyNjpCBfkFFMNWGLZSDg4hlaVp7RUDGGGHqPjwkx9+nx568Afk7elKM1OW3RfORz5ZhM5hlxEq5W53ZMKdRCq46re/MrhmpWeY3kRg2wtaNVKvHJqrKXBNT0uTLE+Ic7W7BWyTkKgECZaffvJJqU4wNjKk+2bnELSS1pYWNsOraWhoUPep9Qiaak9vt1hg2CBTWlIs7pONaAW7uRjosbMQYLuZWQ9QwO6vjs421r5RtLBfXCx22hopk9NatICPtxdlZqISgYntr7bpFiBZyaypq5PEu6gNr7gC1MUsZtZaEQIBczNT3AIjdnC1MYIgQuiwWIUUk5gAd2rCDgBRZ2enZIRCfCg0cjyftWh5aVnyIiQnJUmpIwFYK7m6EH4Fzaq9vVXytiI7F3zF2DVmHzNbIwFX1lyRUU7yufp4UzbcAibjXG1Uc4W2gCJmsZeiKUl1C8DnyqzXXNPTJFRL0VzH7YJiQ4S+QOXVfO4rrFDD93cnECYLlKsByMKnaT2TGtbaFGvHdawwxNCl8xepIDdPcjogR6ppwmC+bhHIY3IYGhyi8rIKcQdgH39TYz118UQxOT6h20RgvcniTiW0tXFp7R21/VUBV+S/xILWJUpKTDAJrrKgFRsrOQXsbgHbIQzkvt4+OnHkCD30wx+IO6C9rU337Z1BWCDq6+mhFh5AXR2dVqsRhb32NZXVlJRwWTJGYU2hpPgq9ff1SJiXlGKXELBRBsZ2ybAlC2Ab/DbGBRbOsOg7MjLK1+qn2uoays3KlgxwiHltbW4RbdxOGxP6WI1zRdUGqURgRnO1XbfANAtZXQPFRseK5gowRQiWgGpuNmVmZymbCGJiZBssfFR2cLUNgtWBvJ0vv/A8Pf/073iSrLtj+wZpKbEohCq2SB6NZNIbrfZvRpD9xeUVamOtH6vQ5yPPS2xvxPkIioq+JAUIEbYFd1gOj4PBoUGDQW2KMNlh5bogP1/cAnV1rLH29lL/8BCVlBZTfFwsxTEXFRXS8MidYWFsF6ngulag0FPZocUWjbYXIO9Ntgmu1yVBdTWbLgBP2f6al0dXmGFmqpprTlaG3edqg9TT3U3Hjx6hF59/jrzc3dm0HdB9c2fTwsI8a+zdsrOwg83tWfFpbgx8pkkx9acmp6mWgRA7FC9ERlJk+DnmcLp4/jxl5+RQT+8gLS5t7pZA3Gx3dydPAHU0wKA6MjhA7e3NVFkJoK0RF0fhlQLJOIfQLERz2MeSadKCq7enNuWgiWTZtrlDS3UL1DC4xuo3EYhrQAOu2QDXmGhdKJZdc7UlWlxakN1XaintTwrhWZeWFiXHQHFx0bpV5C2TXG+J5Xucutu7qLu1m0aHxgg5di1tV4wLuAQQJQAgNU7srNL1a8sSGmYn86QH1wrkc1UKbUqBQluqRLARoUoBKpjW1NZTTFTMWspB2UCQKa85OdnKghabSNihZd9EYBuERZ7U1DQ6e+YMXS0qUoLXDQymTwZ1dHSIr3SYtcQVBtvbTVh46+vrpdLSEhoa7LNvGrhBArgaL2jBfWMqztU2NVf+Nzs9Sk115bJyqk05qGit2QyumZSZnSEpB+HzsIPr7afr11boSkEuvf3G6+ISiI+N/cT2CcC1mMF1cGiAlpZvP7iCEOfa1NpI9XV1Uv76k2RRWIsUcJ2lck1p7Zyd5haYmJwUnys2CRjv0JI4V9ZeM7OQLBsLWvYdWrZAqOcO3+Djv32Yjh09TFVVVZ/YAYxKwfUNNdTU0iTbTG2FYEnU1VVL4m74Vu3JW7ZGkGfZoQW3gLun+F3hlpyCq0Uj68CixkZb3/4aG03JSay5avK5iouAATaDQRVxrlnp9twCt5sgdL19PXT6tD/94YXnGGQjaGDgNudZvY20urJEI8MDVFJcSO0d7bSyYhuyKZoXm7DIJ1BZUUrjY6g5Zh83lpIeXFHmxVtZ0MpC9VcjP7bNaq6YARA3puRzVdwCKqCqC1t4zWB1XHILZGbYwdVONkcIzEfSd6QkRJgWFl1tZcvpJN8Xogew/x1j55NqYWyVFHCdlQWtzUprY8edTYKrNrcAogX0WmuObvsrg2tmhpIsG692cL29hG2tMI/cXZwpKNBPAty5I5UvP+F07doKzbIl1t3RSU119dTR2kxjI4M0t7BIK7epiZBdCz7Y2toqam6sl/uzpx3cnETzn52jsrJy8vbwIl99PlckSdcdxGS7miuT3i3Amqs+n6vkF1CKE+bm5lImamjFIll2umx/vX5DMYV2sgbBl+ft4UbP/O5xcjh5jNraWnXf2ElLGJzYzdXT0y1+TwT0I4UgTE1Ugr2VBACA3xUhWjU1NaKR2WljQv9Nc/8hzlUqESBxixnN1Ta3v7LGMzXNmqsGXFXNFawky2bNNR1xrnALZJK9zMvto1Vud9SxOvTxR/Tsk0/QmZAg/rtP962dNiKESE2Mj1N7awvV19UoyatZCzKXcnA7aGR4iBrqa1mDbaDJCXsV5Y1IcQtoUg7utNwCuEnZoSUFCrXRAmvaq/hcszIpRnyu9lCs20nLKyvU29tHHq4udHD/hyxsbEnYB+mWCf5YbJ7p7GwXxQJm5dj42Lb5aVWg6OrE7q166utdK/ttJ9OENoPlgVAsH8S5suYqC1o7SXNVfa6IBjDWXAGsiHNNT0tV8rlmZ8lghh/JTna6EwiDGMUOUbSwoa6OmhsaqJ/BDzveturKxkAfGx2mlmaY/9VUV11D9TW14pJoZk15aGSYlhdtIxbX1kmdkKC5qtVf4RbAVmX+Sk9oc5tf0FKjBdaBK1wDrLHGxyibCOzbX28fzc5hJi+ljz98n44ePiSD2FZWxe8UwnbXoZERqYZQ31AvuQsQP4s8sJvRHANyPWvC1VWVsh3XPk5unERzZXBF/TEsaKFAIfDHZFYsHgc2B664SbgFMMtCczUGV7VAYUZWOsXGRvHDpYv5ZNdcbw3Bv11QkC8p186eCaHYqEsUwLP4Lx/6N3rkVz+n4CB/iggPk1k99MwZMTvtYGs9QvTB3MwEDXS3UXVluWzFbO/olHI0AE9ovHAvDA4OUGtbq5j82JaMHAVaALDT1kkF1wqNz1VxC5iIc7VJtwA/wOTkFNUgFCv6klQiWA+uis8V21+RwGVyYpTPs4PrrSAIGDLZo9z19779TfqLT/8Zff5Tf0q7Pv8Zuutzn5a/77/7Lnr91ZepuOQqzS+wKWunbSH0BRbFYKqiuu4QA2p/Xy8NDw1J6kdEcdg1VesR2lvcAhWVUv3Vd4PcAiibbnvgyjQ1PSPp1kxFC4DhGsDmAaQcxKvdLXDrCeFy4aEh9POf/EhAFZVIv/jZT9Hf/vVf0fv79kruULumZKc7iURznZ2hiooyo00EO2WHlmZBKyYmyiy4ZjOowm2QLju07KFYt5oUQZuVZOY//7cf0W7WVv/+7/4XHfj4IylBjRAtO9npTqI1zbWCfPQ+1wzGqymDdUYFXG3R58r/Jhlca+tqZHuruv01OzdLXAJ4n5ut2/4aE0vZUuZl1L7D5DbRxMQ4T3jZdGD/x+Tu6kK9PT32hCB2uiNJAVdorkpWLB9vb1nQMrVDq8mWE7cgNVocg6da5kWJcdXmFsCCFgoUZuh2aNnB9bbS9RXuAyxc2V0BdrozSQFX7NAqJy8PT9Fcc7KyZCFxZ2iu/ABS/VUTiiXgqgdYZRMBEmbHx8XJzLHTNxHgmTE5rCwv0eLCgpgeKCqHfczzC4s3aGLDBrjO7bIqhe2wYo/ryG9pp9kbJFwBO4mwaIL4S2wmuD07kHXPaaXnspOdzBHkS41zXfO5ml7QQlIcmwRXbCerqa3V+VwTGEwVbVXAVZK3KKW1EU2g1NDa4Qta1xaps6GYTn3wGr343NP01r6P6OSpk3TixHF6b9879M6edyjwfCLVdSJFnEJoJzyzFlCurS7RQFcdxVwIJ0+fEKpv76fOpgpKCPOhjw57UFJ2GS0wIG4NhBTQ0p6yNDdJreWZdOrg+/TCC6+Qq1cgldQ00cwCa6+aA/FuafUaLTNv9JvK9Tf/XnvM4swEtVVdIW8PbwoMuUCj03OE0oArumNw7MaAu3ZN879sJzutEWRFTZbt47MDF7Qg6uJzZXBF7gBTKQdRZjsnG9ECsZSRkU1jYxP8QDt4iFybp+aqPPrwtRfphKM3FbeO0JLuccZ7Wyg6yIl+/8aH5OQXTnUVeRTo7UpHjhyho8dP0uFDB+j9Dw+S35kLVFHfTDFnPOmZXz9E3/juz8jB+ywlxUVRkPMB+vlPf0q/f/E1Onn8OB3+aB+999FRCo9KpdGpOVo1arrluQlqqCggH9eT9PGBg/Txx/vpyMH95OAbRqm5V6k0L5mOvfE0fedfv0U/f/pNikgtocFxwy2AY/2ddCUtmtxO8n3u/4gOHzxAh485UELWVeobm6HZiSFKi48kF6cTdOTEKTpxnF+PO1JgWBS1dfdTW00RRfo70OuvvkQffnyIn/cY7dv3Ph086UEZecVUW15EHof20Df++Rv0/Z8+QefjUqihsYHyslLIw82JTjg40rETJ5lPkUfAOSqtbaP29laKDfOjvXvfpVff3kdOHr6UmH2Vugexw88OsXbamBRw1ZV5YXBVyrxk0uy0YdIbWKE26RbgJ9Dlc62iWGiul+NFY4VvwyC3gE5zzchIuwM013lqqc6m9//wCD3yyBP06t7j5ODgRC6Op+josRN0ysOfMopqqKevn9rrrtK54AByd3FlEHGl4wc/poe+/x169MnnKCGvmqqKs8nL6Ri9sucQldZ38PElFOpxgn73h/0UGZfHpvwCTQ420wfvvEmvvP0hZVZ20fjsWpD/6soiZV8KouPv/IEcfMKoprVXPh8baCOPA2/Sgf0HKDgyjmLPetJ7Hxykk77naUFbTvr6Ki1PD1JEgAtr4c9SSEIBdYwu0OL8LHW1N1NHTw+VF+VT0PF99MjDD9OTz79Mbh5e5OXlTXtefYGeeeop+sAplELPhpHHqSP08tuHKPtqLYvFErXVXqE3X3+NjrudpuKqOrqadpFeffVt2nvYnZo7OikqyJVeeupR+s3vXqYjp9wlFvfUkY/p6ccepY+OutKZ0HAKOLGXXn/vGPleyqHFW5ggxU53APH8u8pW2ODAoFjQZ04H0ZngIMrNzpbtrt29Pcxd1NTSIDXUbE9z5QcY55mgsq6BYmIuUVJyEuUX5LO2yqCqBVd+oNi4OMpm0N3xWbGuzVFTZS69/8rzrL25UFFjDy2b0MTri7PIYe9L9MKbB+hsdBp1tdRRScoFevLXP6WfPfIMxeRUUjWDq7fDIXrhlXcou7iKakpy6Yz7UXp5z0GKSb1CyyvzNNpdS/tffZ7eeOUtSitrZXBdA0fMzlU58eR+aC+9+cFJupicT13d3VSSn0H73nqV9p9wp7iMfEoI96J39n5Ihz3O8fkLurNB12l1cYrSL52mj974PZ3yCaXMomoqL8yjIPeT5OZ/liKjYig51I3efOMdOnjKl/u6ifp6uqmi+ApbJFlU19xBxZmx5HX8I3p931HKK6ujayvcRmVZ9NYrL9ARZ18qqqyj8sxL9PpLL9Hr7x6iqupquhzmTR/teZPB1o2fvVrq87fUV1FBVhLV1tVRaWEu+TOov8rgGhidS8vL9p1jdrpxwliZY00Wu+G6Ojuou6ODBvr7RDnE5g7b01x5cE4j5SAWtKKiKSUxka7k5SngqnML4DU7K53iZPvrHVCJ4NoSTQx3UWFOKl0pqaCOkVlaNrbVmZBgo7+rnbISLlJIYAAFn42khKQ0SkhIoHQ2Txqa2yVtXFNtOUVfiqDzCemUW1hC5WUllJlbSB1sbmNVf2F6lNs0i7LyrlDn8DTNLxu1HYRmapTqy3Mp5kIYBbAJFBkeQeW1jTQ2PU/zczPU1VzL/ZBHJQxypra3XmcNeay/g7JTE+gsa9ohIWcpjU3wzoExWuJnu766TKM9TVSQmUSngwLJz8+PQi/ECpBOzczSaH8XVVy9Qtn5KPQ3iivSxNiQTKaFpTU0ODFDs5MjdCUrkc6dC6PLWUUMpgPymxX5aRQeEs7acBAFhpyn9MIq6h2ZovGRQaorK6Tc/FKqa+3b2a4kO9k82ajmOkeV9U0UExu75nPVaa0KuOYq218l5WC6fYeWnexkJ5sjGwRX5BaYpBpNDa0CBtfC3EzKN3ALoLS2UolgdHTEDq4bEbcpSrEgZGp+fkH8RrdbZ7t+bZWWlxYk/AyLmOh3le1kpzuBbA5cAQRrBQrXb39Vs2Klp6dTdEw0ZWZl0OiYXXM1R4sTfVSSdp72vvocvf/eh3QhPpPqe8ZpbnkrizlGgLchACrfbXTE0sIcDfV20NWrxdTQ3EqDvZ2UFO5Hru6+FJFSQnMLm6fSs5OdbJ1sUHMlGpuaoQosaEUjWmANXLEqh62v4nPNzKT4uFjKyspmzXX8Ewmu11aXaXywh6JDvOjA3tdp34f76WOEWe19h46ccKHsogpKvBRGe59/hL72L9+hZ177gBKzi2hsZk5fUHl1eZG6G0oozNeZ3nnjNfroo/104MN99PILz9Fvn3yBQi4lyyKTx+G99OzzL9Cre94jn4BAik9KoTNBAeRw9CCdOHGSjh85RG++uYdeeusjOheTRudCz9Kpw/vJNzKZatqGaHl6lJqL08jZwZkcHN0oLe4iHTp4gtzcgyg+OppefupR+ta3vk+/e2kPxUVdItdjh2n//iOUVtxEE/PXaLC9nmKD3enAURdKzLxKS/aVfjvZONkeuPI/5KOUGlra3AKsrUJrFZCF9pqJGlrRlPUJrv462NlIMQEn6K33DpPL2SSaX1IWlprLcyjQ+QC9sd+FQsPDKOWCL7346l4KjU6nqUUNKF1f4WvUk+fxD+njQycoJq+WpuaX6dr0AOUknKcXXniVQiJjKTUxjk7ue40OOJ6mzNJWurayRDOjPZSfGksBnq500sGJTp04Ri8//xT9+MEH6f2TfpR/5SpV5MTR22/tIXf/ULZAkunUx/vIIzCC0guKqTTjIr312uvk7BZITQ31FOZ1it794Ai5n8ug8ckpaq/IJR/HI/TKOwdEDsKCfOjVN96m+JwyGpxZ3FAztpOdbIFsDlxBa9VflR1aquaq12AZXDNYY42NiaPs9CwaG2dw/QTmc52bGKSq7Cja89rL9NrbH9L/197dh8RdBnAAl1rrhYqoiBTnzzvPU+6PKGRFL2BvBAlr62WyP4KYGBG0xiZazWJta2MxYlGbWMyozaLGUqfO8+7my4muzZd1mtM539+m92LnfNn50vz2fB/vYNo2NhA69fnCF+E8n9+h8PF3z+95fnem1oGetkbkZWciLSUF+7KOo0T8Eyr+LRPvfZCGIzkWjExMzYFp5G8XirIzsD39U+w58Av+au5A85kSZOz5CGteX4/MI8dgMxdi37YU7Nz/E+xnO+B19qL02CFs2rwFqbu/QVN7JzpbHDi0/wusS3gVaTu+QvW5DowMOWH7NQNbkzcgYc16bN5xELVNXRjzdKPGfBibPkzB3oM/o0G8S8k+sBupaenYm1WAbhc3hUyjtYG71rbgxfgXkJi0FUdLHXK1gorKYkgQ4upfiiVxnXs/18DFrNlpgRL/tECZOHNdxrccnJmRu50unKtHsVX8ToqsqDhVjc6ePvjEmeyEbxz9vV2o+1PA2z+A6XnLj8ZHh1FlOYovd6Yj9ePP8X3WYfz43bfY9UkK3n0/FbmWKvFzgzgvxm9q74JreEzuQJn0jaKrtRmn7KVyo0e5vQI11dWoq6lBXUML+p1e8dquYHpiTJyZNuK0+F7nwJBc9nVl8jKGBdD1Dgda2jpx2efDiKcfjpo/UF5Wgdb2briHvOhoOoucH77Gts92Ift3C6aml+nfWGVRJjhxDVzQknOuBRLT/5y5yh1aOShdCutc/8fMCAB9Y160n2+A/aQFJwryUVhkQ9VpBy4KICdv6cLXwuSf6Sl0tTWh0l4Ce5VAud8N3/y1uCoqQZ6gw5UXtLyXRlEvd2jlothsRlVlJSoEqvx4l3JR4solWMfz/DduUasFVFRUgiwLguuMwXAnn+SOWRV20RBhcsZEPOOK1hLEYIkc1GPQJd08rjPyBswNDQ7k8jO05F2x5t64hZsI7OXlyM/PE7ha1TpXFRWVoEsAV/rnxzWRLtJHOkkv6Sb9vC6uMJlWumNi7nOatEddsTqjGOgpjyHyFTHom26j7m2XQUsSeifzQP7j3jDTU1Po6+2B1WJGoXibarUW46TNCpv4arOaZc3mE7CIxxwC4fGxS3J+T0VFRSVY4j9rTaZ/dJAeSheFj3SSXtJN+nk9XG+rjYu7A3Gh9/QbQx/2xmiRzmjtcXeU9rw7KvI1IfUGZ3TkO9R7yA8sRVdVVVVdqqVz9I7u0T86SA/pIn2kk/SSbko/haNzcGX8wMqpAY/BcL8rNiKUKgupV7uN+pfcxsi1nGuQcktktY2UnAeVc7GqqqqqS6TSNembtpHeyXfu0r/ItbMe6lbTRzpJL685JRAIH9xOdePjV0DT7urUtAcksHp9tDjIE06j/jlPtO5lTuQOGrV1nmj9G+IFvMX5h6Gryhegqqqqutg6z7FE+kbn6B3do390kB5KF4WPdJJe0k3p57VwZQLAlsWHrKDETpPp3mFT+IOcsPUaI3RuoxY7aNQ95o6KiBMHenIwSnuak7pOY8SzvHKmqqqquthLz+gafaNz9E66J/yTDgoP6SJ9pJP08oawXh0+SXT2LNZkWtkTHn43B6LSfbFhDw3o9Y/MTuKuCmO5FEFVVVV1qTRgG52jd3SP/tFBeigvXtHHm0V1fvzIzkIbEnI7heakbSMHFr0g1KbcLNd4qaqqqi72Bkyjb3SO3tE9+kcH/R5KG/1ULlwCA6uqqqouh/rpu4WEhPwLEY1KawZyBCEAAAAASUVORK5CYII=)
Question 22.Where does the center of gravity of the atmosphere of the earth lie?
Answer:Since the earth is surrounded by the atmosphere with nearly equal thickness and.The center of gravity of Earth lies at the center of Earth because, at that point, the mass of the Earth is equally distributed in all the directions. Therefore center of gravity of the atmosphere of the earth coincides the center of gravity of the earth. As shown in the figure below.
![](data:image/png;base64,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)
Question 23.Where does the center of gravity lie, when a boy is doing sit-ups? Does weight vector pass through the base or move away from the base? Explain.
Answer:The center of gravity of an object is the point you can suspend the object from without there being any rotation because of the force of gravity .when a boy is doing sit-ups the center of gravity move up and down, thus it is not fixed it keeps changing with the upward and downward movement of the boy. The figure below illustrates it.
![](data:image/png;base64,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)
The weight vector passes through the base but the move slightly with respect to the previous position.
What path will the moon take when the gravitational interaction between the moon and earth disappears?
Answer:
Since the moon is in uniform circular motion with earth as the center. Therefore, when the gravitational interaction between the moon and the earth disappears the centripetal force due to which moon is revolving around the earth will become zero and it moves tangentially to the position it was present. Actually, gravitational force doesn’t disappear, so these worries are useless.
Question 2.
A car moves with constant speed of 10 m/s in a circular path of radius 10m. The mass of the car is 1000 kg. Who or what is providing the required centripetal force for the car? How much is it?
Answer:
The required centripetal force is provided by the normal reaction of the ground.
Now, according to the question;
Radius of circular path (r) = 10 m.
Mass of the car (m) = 1000 Kg.
Speed of the car (v) = 10 m/s.
The figure below describes the situation.
The required centripetal force is F =
⇒ F =
⇒ F =
The centripetal force required for the car is 104 N .
Question 3.
A small metal washer is placed on the top of a hemisphere of radius R. What minimum horizontal velocity should be imparted to the washer to detach it from the hemisphere at the initial point of motion? (See figure)
Answer:
Given;
The radius of hemisphere = R.
The velocity of washer = V.
The centripetal force act on the washer is
F = ………………… (1)
Let the mass of washer is “m”
And acceleration by gravity is “g”
The force by hemisphere on the washer is
F = mg …………. (2)
By Newton’s law of motion every action has an equal reaction but in opposite direction.
∴ Centripetal force on washer = Force by hemisphere on the washer.
From (1) and (2).
= mg;
⇒ v2 = gR
⇒ v =
Hence minimum horizontal velocity should be imparted to the washer to detach it from the hemisphere at the initial point of motion is
Question 4.
Explain why a long pole is more beneficial to the tight rope walker if the pole has slight bending.
Answer:
Carrying a pole helps the walker increase their rotational inertia (a measure of an object’s opposition/resistance to change in its direction of rotation), which aids in maintaining stability while walking over the narrow rope.
The pole also adds more weight below the center of gravity of the walker, which is another bonus for maintaining balance. By adjusting the place of the pole, one can balance easily their body and can walk on the rope. Finally, the line of the weight of total system must pass through a vertical line drawn to the rope.
The Figure below depicts the rope walker carrying the pole on tight rope.
Question 5.
Why is it easier to carry the same amount of water in two buckets, one in each hand rather than in a single bucket?
Answer:
In both cases, you have the same amount of force in the vertical direction, but when we have a single bucket in hand there is a lot of force in the horizontal direction.
With one bucket you are constantly leaning in the other direction so that the downward force is exerting directly on your center of gravity. Holding two buckets of water in each hand does not change the center of gravity of the person.But if the person holds a bucket with the same quantity of water only in one hand, then the center of gravity moves towards the bucket (mass). Change in center of gravity causes instability of body as the gravitational force acts on it. So we feel hard to hold the bucket.
Question 6.
What is the speed of an apple dropped from a tree after 1.5 seconds? What distance will it cover during this time? Take g = 10m/s2
Answer:
Since Apple dropped from a tree.
∴ Initial speed (u) = 0 m/s
Given in question;
Time (t) = 1.5 s
Acceleration due to gravity (g) = 10 m/s2
Now;
By Newton’s equation of motion
V = u + at.
Here a = g = 10 m/s2.
T = 1.5 s;
U = 0 m/s
⇒ Final speed (v) = u + gt.
⇒ v = 0 + 10 x 1.5.
⇒ v = 15 m/s
Hence the speed of an apple dropped from a tree after 1.5 second is 15 m/s
By Newton’s equation of motion
S = ut +
Here a = g = 10 m/s2.
T = 1.5 s;
U = 0 m/s
Distance (S) = ut +
⇒ s = 0 x 1.5 +
⇒ s = 0 +
⇒ s = .25 m.
Hence distance covered by an apple is 11.25 m.
Question 7.
A body is projected with a speed of 40 m/s vertically up from the ground. What is the maximum height reached by the body? What is the entire time of motion? What is the velocity at 5 seconds after the projection? Take g = 10m/s2
Answer:
A body is projected vertically up.
∴ According to the question;
The initial speed (u) = 40 m/s
Acceleration due to gravity (g) = 10 m/s2 .
From Newton’s third equation of motion;
V2 = u2 + 2as;
In our question;
V = 0 (Velocity at maximum height is zero);
U = 40 m/s.
A = -g = -10 m/s2. (When object will be going up the acceleration due to gravity will be acting downwards to make an object to fall. Hence by sign convention direction of motion and acceleration is opposite therefore a is negative)
S = Maximum Height (H).
Putting the values in the equation we get.
02 = 402 – 2 x 10 x H.
⇒ 0 = 1600 – 20H.
⇒ 1600 = 20H.
⇒ H = .
Maximum height reached by the body is 80m.
Total time (T ) =
⇒ T =
⇒ T =
The entire time of motion is 8 s
Time is taken to reach maximum height =
=
Thus it takes 4 sec to reach the maximum height and returns with 0 initial speed.
∴ speed after 1 sec in return = speed after 5 seconds of throwing the ball.
⇒ speed (v) = u + at;
∵ u = 0 and t = 1sec; a = 10 m/s2 .
⇒ v = 0 + 10 x 1
⇒ v = 10 m\s.
Speed after 5 sec of throwing of the ball is 10 m/s.
Question 8.
A boy is throwing balls into the air one by one in such a way that when the first ball is thrown reaches maximum height he starts to throw the second ball. He repeats this activity. To what height do the balls rise if he throws twice in a second?
Answer:
Since the boy is throwing two balls per second
⇒ He is throwing one ball in half a second.
⇒ Ball takes half second to reach the maximum height.
WE know that time taken to reach maximum height =
⇒
⇒
⇒
⇒
Hence initial velocity of ball is 5 m\s.
Also the maximum height (H) =
⇒ H =
⇒ H =
⇒ H = 1.25 m
Maximum height reached by the ball is 1.25 m
Question 9.
A man is standing against a wall such that his right shoulder and right leg are in contact with the surface of the wall along with his height. Can he raise his left leg at this position without moving his body away from the wall? Why? Explain.
Answer:
When the man is standing against the wall such that his right shoulder and right leg are along his height. Then the center of
Gravity is nearly at the belly point. In this situation, he can’t raise his left leg. Because if he raises the left leg, the center of gravity moves. Then he must move his body parts to maintain the center of gravity. Therefore as he raises his left leg he has to move his other body parts. The figure below depicts this.
.
Question 10.
A ball is dropped from a height. If it takes 0.2s to cross the last 6m before hitting the ground, find the height from which it is dropped. Take g = 10m/ s2
Answer:
Since ball takes 0.2 s to cross the last 6m before hitting the ground.
∴ Let velocity of the ball after time t1 = u;
The figure below depicts the situation of the question.
By Newton’s second equation of motion;
Distance (S) = ut +
Here S = 6m; t = 0.2s; g = 10m/s2;
⇒ 6 = 0.2u +
⇒ 6 = 0.2u +
⇒ 6 = 0.2u + 0.2
⇒ 0.2u = 6 – 0.2
⇒ 0.2u = 5.8.
⇒ u = 29 m/s.
Hence final speed (v) of the ball after it traveled ‘X’ distance is 29m/s.
By Newton’s first equation of motion
⇒ v = u + at;
Here v = 29 m/s (final velocity).
u = 0 (Initial velocity is zero);
A = g = 10 m/s2.
T = t1 (refer figure above);
Putting the values we get
29 = 0 + 10 t1;
⇒ t1 =
Now finding the distance ‘X’ by newton’s second equation of motion
Distance (S) = ut +
Here S = X (refer figure); t = t1 = 2.9s; g = 10m/s2; u = 0 (initial velocity);
Putting the values we get;
X = 0(2.9) +
⇒ X = 0 +
⇒ X = 5 x 8.41
⇒ X = 42.05 m
Now;
Total height from which ball was thrown = X + Y = 42.05 + 6
⇒ Total height = 48.05 m;
Question 11.
A ball is dropped from a balloon going up at a speed of 5 m/s. If the balloon was at a height 60 m. at the time of dropping the ball, how long will the ball take to reach the ground?
Answer:
According to question it is given;
Speed of balloon = 5m/s (upward)
⇒ Velocity of ball (u) = -5 m/s (because ball will fall downwards)
Height (S) = 60 m
Time to reach ground (t) = ?
By newton’s second equation of motion
Distance (S) = ut +
⇒ 60 = -5t +
⇒ 60 = -5t + 5t2.
⇒ = -t + t2.
⇒ 12 = -t + t2.
⇒ t2 – t – 12 = 0;
⇒ (t – 4) (t – 3) = 0;
⇒ t = 4, -3;
But time can’t be negative;
∴ t = 4 s
Hence Time taken by the ball to reach the ground is 4 s
Question 12.
A ball is projected vertically up with a speed of 50 m/s. Find the maximum height, the time to reach the maximum height, and the speed at the maximum height (g = 10 m/ s2 )
Answer:
Since the ball is projected vertically up.
∴ The initial speed (u) = 50 m/s
Acceleration due to gravity (g) = 10 m/s2.
Maximum Height (H) =
⇒ H =
⇒ H = 125 m.
Maximum Height is 125 m.
Time to reach maximum height (t1) =
⇒ t1 =
Time to reach maximum height is 5 sec.
Speed at maximum height (V) = 0 m/s.
Question 13.
Two cars having masses m1 and m2 move in circles of radii r1 and r2 respectively. If they complete the circle in equal time. What is the ratio of their speeds and centripetal accelerations?
Answer:
According to the question given that;
Mass of first car = m1.
The radius of first car = r1.
Mass of second car = m2.
The radius of second car = r2.
Now let;
The speed of first car = V1.
The speed of second car = V2.
Time is taken for the first car to complete = T1 =
Time is taken for the second car to complete = T2 = .
According to question;
T1 = T2.
⇒ .
⇒
⇒ .
Hence the ratio of speeds is .
Centripetal acceleration of First car a1 =
Centripetal acceleration of Second car a2 =
⇒
⇒
⇒
⇒
Hence the ratio of centripetal acceleration is
Question 14.
Two spherical balls of mass 10 kg each are placed with their centers 10 cm apart. Find the gravitationl force of attractdion between them.
Answer:
The Gravitational force of attraction between two bodies of masses m1 and m2separated by a distance of R is given by;
G = Gravitational constant;
The figure below illustrates the question well;
According to our question;
m1 = ;
m2 = ;
R = 10 cm = = 0.1 m (1 m = 100 cm).
F =
⇒ F =
⇒ F =
⇒ F =
Hence force between two spherical balls is 6.67 x 10-7 N
Question 15.
Find the free-fall acceleration of an object on the surface of the moon, if the radius of the moon and its mass are 1740 km and 7.4 x 1022 kg respectively. Compare this value with free-fall acceleration of a body on the surface of the earth.
Answer:
According to the question given data is;
Mass of the moon (M) = 7.4 x 1022 Kg;
Radius of moon (R) = 1740 km = 1740 x 103 m (1km = 1000m).
Now;
Acceleration due to gravity (g) =
⇒ g =
⇒ g =
⇒ g =
⇒ g =
⇒ g =
⇒ g = 1.63 m\s2.
Free fall Acceleration at the surface of the moon is 1.63 m\s2
Now;
Acceleration due to gravity on earth age = 9.8 m\s2 .
Acceleration due to gravity on moon gm = 1.63 m\s2 .
⇒
ge = 6 gm.
Acceleration due to gravity on the moon is one-sixth of Acceleration due to gravity on earth.
Question 16.
Can you think of two particles which do not exert a gravitational force on each other?
Answer:
No, we cannot find any two particles which do not exert a gravitational force on each other. Because according to Newton's universal law of gravitation everybody can exert a gravitational force on another body. Hence there are no two bodies which do not exert a gravitational force on each other. If there would have been any such body than it would have violated the Newton's universal law of gravitation.
Question 17.
An apple falls from a tree. An insect in the apple finds that the earth is falling towards it with an acceleration g. Who exerts the force needed to accelerate the earth with this acceleration?
Answer:
According to Newton’s law ‘every action has an equal reaction but in opposite direction’. Therefore the apple applies gravitational force on earth which is equal to the force applied
By the earth apple. But the acceleration of earth due to the force of apple is very small. It is negligible due to the large mass of the earth.
The figure below depicts the more.
Question 18.
A scooter weighing 150kg together with its rider moving at 36 km/hr is to take a turn of radius 30 m. What force on the scooter towards the center is needed to make the turn possible? Who or what provides this?
Answer:
According to the question;
Radius of circular path (r) = 30 m;
Velocity of scooter (v) = 36 km/hr;
= m/s;
= 10 m/s.
Mass of scooter (m) = 150 kg;
For making the turn possible the scooter needs force equal to the centripetal force which is given by;
F =
⇒ F =
⇒ F = 5 x 10 x 10 = 500 N.
The force required is 500 N and it is provided by the normal reaction between the ground and the scooter.
Question 19.
The bob of a simple pendulum of length 1 m has mass 100g and a speed of 1.4 m/s at the lowest point in its path. Find the tension in the string at this moment.
Answer:
According to the question;
Length of pendulum (l) = 1 m;
Mass of pendulum (m) = 100g =
Velocity at lowest point (v) = 1.4 m/s.
Now;
The Tension in the string is equal to the sum of force in the circular path (centripetal force) and gravitational force..
⇒ Tension T = Centripetal force + gravitational force.
⇒ T = + mg
⇒ T = + 0.1 × 9.8.
(Length of string(l) = radius of circle in which bob of pendulum moves (r))
⇒ T = 0.196 + 0.98
⇒ T = 1.176 N.
The tension in the string is 1.176 N.
Question 20.
How can you find the center of gravity of an India map made of steel? Explain.
Answer:
The map of India is irregular in shape its center of gravity can be found out in following way
1. Take the map and make three holes along its edge.
2. Suspend the map freely from one hole by using the thread as shown in the figure below.
3. Take a plumb bob and suspend it from the same hole.
4. Draw a line along the thread. It indicates the line of weight at that point. As shown in the figure below.
5. Repeat the same from remaining holes and draw other two lines of weight.
6. The concurrent point of the three lines is the Center of gravity of the map.
Question 21.
Explain some situations where the center of gravity of man lies outside the body.
Answer:
Some of the situations where the center of gravity of man lies outside the body are as follows.
i. While doing Yogasanas, if we bend our body in inverted “V” shape. Then the center of gravity may lie out side of the body. The figure below illustrates the point.
ii. The athletes while doing the high jump, bend their body as arc. In that situation, the center of gravity may lie outside of the body. The figure below shows the center of gravity of athlete doing the high jump.
Question 22.
Where does the center of gravity of the atmosphere of the earth lie?
Answer:
Since the earth is surrounded by the atmosphere with nearly equal thickness and.The center of gravity of Earth lies at the center of Earth because, at that point, the mass of the Earth is equally distributed in all the directions. Therefore center of gravity of the atmosphere of the earth coincides the center of gravity of the earth. As shown in the figure below.
Question 23.
Where does the center of gravity lie, when a boy is doing sit-ups? Does weight vector pass through the base or move away from the base? Explain.
Answer:
The center of gravity of an object is the point you can suspend the object from without there being any rotation because of the force of gravity .when a boy is doing sit-ups the center of gravity move up and down, thus it is not fixed it keeps changing with the upward and downward movement of the boy. The figure below illustrates it.
The weight vector passes through the base but the move slightly with respect to the previous position.