Class 8th Physics & Chemistry AP Board Solution
Improve Your Learning- What is a force? What changes can be produced by a force?
- State an example of a situation mentioned below in which a force: a) changes the speed of…
- How can you differentiate between a contact force and a force at a distance?…
- Give two examples each for a contact force and a force at a distance.…
- Detect the errors in the following statement and rewrite it making necessary corrections.…
- Why do tools meant for cutting always have sharp edges?
- Objects change their state of motion due to the net force acting on them. Do you agree…
- When you push a heavy object, it doesn’t move. Explain the reason in terms of net Force.…
- If you push a heavy box which is at rest, you must exert some force to start its motion.…
- Find net forces from the following diagrams.
- How do you increase the pressure by keeping (a) area unchanged and (b) force unchanged?…
- Imagine that friction has disappeared from the earth. What will happen? Explain.…
- Karthik is observing the live telecast of a one day cricket match. He noticed motion of a…
- Design and conduct experiments to test few ways how friction may be reduced.…
- a) Take two identical straws and suspend one of them freely. Rub the other straw with a…
- Collect pictures from various sources like internet, magazines, newspapers, etc, to…
- A stick is placed on steps as shown in the figure. Draw normal forces on the stick.…
- Observe the figure below and find in which direction the force of friction acts. Also…
- A man is standing still on a level floor. What forces act on him? Draw a free body diagram…
- How do you appreciate the role of friction in facilitating our various activities?…
- A monkey hangs stationary at the end of the vertical vine. What forces act on the monkey?…
- What is a force? What changes can be produced by a force?
- State an example of a situation mentioned below in which a force: a) changes the speed of…
- How can you differentiate between a contact force and a force at a distance?…
- Give two examples each for a contact force and a force at a distance.…
- Detect the errors in the following statement and rewrite it making necessary corrections.…
- Why do tools meant for cutting always have sharp edges?
- Objects change their state of motion due to the net force acting on them. Do you agree…
- When you push a heavy object, it doesn’t move. Explain the reason in terms of net Force.…
- If you push a heavy box which is at rest, you must exert some force to start its motion.…
- Find net forces from the following diagrams.
- How do you increase the pressure by keeping (a) area unchanged and (b) force unchanged?…
- Imagine that friction has disappeared from the earth. What will happen? Explain.…
- Karthik is observing the live telecast of a one day cricket match. He noticed motion of a…
- Design and conduct experiments to test few ways how friction may be reduced.…
- a) Take two identical straws and suspend one of them freely. Rub the other straw with a…
- Collect pictures from various sources like internet, magazines, newspapers, etc, to…
- A stick is placed on steps as shown in the figure. Draw normal forces on the stick.…
- Observe the figure below and find in which direction the force of friction acts. Also…
- A man is standing still on a level floor. What forces act on him? Draw a free body diagram…
- How do you appreciate the role of friction in facilitating our various activities?…
- A monkey hangs stationary at the end of the vertical vine. What forces act on the monkey?…
Improve Your Learning
Question 1.What is a force? What changes can be produced by a force?
Answer:Force is a physical (magnitude + direction) quantity which is represented as a ratio of change in momentum divided by change in time and is generally told as, force is a push or a pull that can change the state of the motion or can change the shape of the object on which force is applied. The strength of the force is called magnitude and there is always a direction mentioned along with the magnitude.
The equation F= ma is the main equation used.
The changes produced by the force are:-
I. Force can stop a moving object.
II. Force can initiate the motion of an object at rest.
III. Force can change the shape of the object.
IV. Force can change the direction of moving object.
V. Force can change the speed of the object.
VI. Force can rotate an object at rest or motion.
Question 2.State an example of a situation mentioned below in which a force:
a) changes the speed of an object
b) changes the shape of an object
c) changes the direction of an object.
Answer:a) Kicking a football- we can make the football move from rest or we can change the speed of the moving ball by kicking it.
b) Stretching a rubber band-when we stretch a rubber band its shape gets changed according to the applied force, we can enlarge it’s length or can make it small by squeezing it with some force.
c) Cricket batsman-The batsman hits the ball with his choice he can either change the direction of moving ball entirely by hitting the ball towards baller or he can just touch the ball firmly or at the periphery to hit it sidewards.
Question 3.How can you differentiate between a contact force and a force at a distance?
Answer:To differentiate between these two forces we must first understand the meaning of them:-
Contact forces- Those forces in which there is a physical contact between the surfaces on which force is applied.
Noncontact forces-Those forces in which there is no physical contact between the surfaces and the force acts between them from a distance on which force is applied.
Hence to differentiate between these two forces we must look for physical contact between the surfaces. If there is physical contact then it is a contact force otherwise it is non-contact force.
Question 4.Give two examples each for a contact force and a force at a distance.
Answer:Examples of contact and non-contact forces are :-
a) CONTACT FORCE – Friction force(for this force to operate the two rough surfaces must be in contact) and Normal force(for this force to operate the contact of the object with the earth directly or indirectly must be there).
b) NON-CONTACT FORCE – Magnetic force(we have seen magnets to repel and attract themselves without any contact between them) and Gravitational force(when we jump or when we throw something up earth exerts a force on us called gravity and pulls the thing down even when we are not in contact with earth).
Question 5.Detect the errors in the following statement and rewrite it making necessary corrections.
“Because the car is at rest, no forces are acting on it”.
Answer:To get the statement correct we must understand the concept of net force . The resultant or the total sum of all the forces acting on the body are equal to the net force acting on that body , net force means total force acting on the body.
Thus the statement can be corrected in two ways :-
a) “Because the car is at rest, no net force is acting on it.” , or
b) “Because the car is at rest, two forces are acting on it they are gravitational force(gravity) and the normal which sum up to zero.”
Question 6.Why do tools meant for cutting always have sharp edges?
Answer:Cuttingmeans the insertion of a thin object all along in a body so that the body gets divided into parts .Tools with thin or sharp edges allows us to concentrate or focus our applied force on less area through which the cutting of the object starts or we can say that the exerted pressure is more in case of thin tools.
Whereas in case of thick tools the applied force gets exerted on a large area and hence the pressure is distributed over a large area so no penetration or insertion of the object happens, hence no cutting appears.
Question 7.Objects change their state of motion due to the net force acting on them. Do you agree with this statement? Discuss with examples.
Answer:If Fnet≠0, only then we can say that the state of motion can be changed, if Fnet=0 the state of motion can never change as force is the product of mass and acceleration and to change the speed of an object we must need acceleration. Yes, I agree with the statement.
Question 8.When you push a heavy object, it doesn’t move. Explain the reason in terms of net Force.
Answer:When any object is at rest and we try to move it the forces acting on the object are friction and the applied force by us. The object starts to move only when it’s Fnet≠0 and as we know that when the object is at rest and we apply force on it, the frictional force acting on it is the static friction which is not constant and is equal to the applied force till the object just starts to move and sliding friction takes over when the object moves properly.
Question 9.If you push a heavy box which is at rest, you must exert some force to start its motion. However, once the box is sliding, you can apply a lesser force to maintain that motion. Why?
Answer:When we try to push a heavy box which is at rest and as we know that when an object is at rest the frictional force acting on that is static friction which is not constant and static friction is equal to the applied force and increases as we increase the applied force till the object just starts to move and the maximum value of the static friction is greater than the value of sliding frictionwhich is constant and occurs when the object starts sliding or moving properly. The magnitude of sliding friction is always less than static friction.
Question 10.Find net forces from the following diagrams.
![](data:image/png;base64,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)
Answer:As we need to calculate Fnet and we know that force is a quantity possessing magnitude and direction ,so, we need to consider the directions also with the numeric values of the forces applied on the blocks.
The forces in opposite directions are to be subtracted from each other and the forces in same direction or parallel are to be added to each other. The resultant force will be in the higher magnitude force direction.
a. 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c. 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)
d. 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e. 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Question 11.How do you increase the pressure by keeping (a) area unchanged and (b) force unchanged?
Answer:Pressure is the ratio of force divided by area precisely the force counted is perpendicular to the area of consideration and not at any angle other than 90˚.
![](data:image/png;base64,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)
As we know that to increase the value of fraction we must increase the value of numerator or decrease the value of denominator.
a) To increase the pressure by keeping area constant or unchanged we must increase the force perpendicular to the area.
b) To increase the pressure by keeping force constant or unchanged we must decrease the area of application.
Question 12.Imagine that friction has disappeared from the earth. What will happen? Explain.
Answer:When friction will disappear from the Earth, the following things will happen:-
1. The brakes of the vehicles won’t work and the vehicles won’t run as the driving moving force is friction, the engine gives the rotating power to the wheels, the friction makes the car move forward.
2. We won’t be able to walk because we walk when we apply force on the ground backward and the ground applies it’s friction force forward, hence we walk.
3. We won’t be able to pick objects as the weight of the objects pulls it downward and the friction counter balances the weight and we are able to hold objects.
4. We won’t be able to write with pencil. As we write on paper due to friction the pencil graphite gets traced on the paper etc.
Question 13.Karthik is observing the live telecast of a one day cricket match. He noticed motion of a roller on the pitch during lunch break. He thought about various forces acting on the roller and the net force when it is in motion. Many questions arose in his mind regarding the direction of the net force. Can you guess what would be those questions?
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i. What are the forces acting on roller when the roller is at rest and when it is moving?
ii. Does the forces acting on the roller depend upon the direction of motion of the roller?
iii. Can we get the direction of net force when force is applied on the roller by the people driving it?
iv. Are there more than two net forces ?!
Question 14.Design and conduct experiments to test few ways how friction may be reduced.
Answer:Friction helps us to do various works but it is also evil , and to reduce this evil there are many ways that are:-
a) Make the surfaces smoother by decreasing the roughness.
b) Lubricating the surfaces.
c) Make use of wheels that is use rolling friction rather than sliding friction.
d) Reduce the contact and hence increase the space between the surfaces.
e) Objects moving in fluids (liquids and gases) have streamline shapes to reduce friction by fluids called drag.
f) In cars not only due to tyres we can reduce friction but due to the design of the car that is the streamlined car and the aerodynamics technology can reduce the air drag or the friction due to air(wind).
EXPERIMENT-1,Smoother surfaces have less friction.
Place a smooth inclined plane on a smooth table. Put a mark with a pen at any point A on the inclined plane. Now let a dry cell move down from this point. How far will it move , note the distance from the end of the inclined plane. Now place a cloth or sandpaper on the table , provided , they do not have any wrinkles on them. Now repeat the above steps i.e. make the dry cell move from the same point A and when it stops note the distance from the foot of the inclined plane till where it stops. You will observe that the cell moved larger distance in the case of smooth table surface and moved less distance in the cloth case and the least distance in the sand paper case because of friction. So we need smoother surfaces to reduce friction.
EXPERIMENT-2,Rolling has less friction than sliding.
Take a few pencils which are cylindrical(not hexagonal or triangular) in shape. Place them parallel to each other on a smooth table. Place a thick book over them and try to push the book , you will observe that the pencils roll when we push the book accordingly. Now try to push the book when it is kept on table directly , you will feel more effort is applied in this case than the pencil rolling one. So we need to use wheels to reduce friction.
Question 15.a) Take two identical straws and suspend one of them freely. Rub the other straw with a piece of paper. Bring the rubbed end of the straw near the suspended one.
What do you observe from this activity? Can you tell which type of force is it?
b) Comb your dry hair. Bring the comb near small pieces of paper. What do you observe? Explain.
Answer:There are forces of many types in the nature not only the muscular force of humans but also other forces between electric charges , magnets etc.
a) When we do this activity we will observe that there is attraction between the two straws but not a strong one. This type of force is called electrostatic force. It is a non-contact force. It is formed due to induction of charge by friction or rubbing.
But after some time this effect disappears.
b) The pieces of paper gets attracted to the comb but the attraction is not very strong one. This type of force is called electrostatic force. It is due to when we rub the comb to our dry hair due to friction the comb gets induced charge and hence the charged comb attracts the bits of paper. But after some time the ability of the comb gets lost.
Question 16.Collect pictures from various sources like internet, magazines, newspapers, etc, to illustrate contact forces, forces and prepare a scrap book.
Answer:Examples of contact forces are :-
![](data:image/jpeg;base64,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)
Tension(pulling force)
Frictional force or friction
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![](data:image/png;base64,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)
Normal (reaction force) Fn
![](data:image/png;base64,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)
Tug of war game, It has contact force mechanism.
Question 17.A stick is placed on steps as shown in the figure. Draw normal forces on the stick.
Answer:
![](data:image/jpeg;base64,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)
As Normal is the reaction contact force which acts when there is some action force and Hence the Normal reaction force should be equal to the weight of the rod which is downward. In this situation the normal is not a operating on a single one but it is operating on 2 points in contact with the staircase.
![](data:image/jpeg;base64,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)
N2 is slightly tilted towards N1 and N1 is straight and perpendicular to the staircase.
Question 18.Observe the figure below and find in which direction the force of friction acts. Also indicate the normal forces and their directions.
Answer:![](data:image/png;base64,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)
The frictional force acts opposite to the direction of the applied force or the driving force applied by the boy on the table because frictional force prevents relative motion between two surfaces in contact.
The normal reaction force is acting on every leg of the table and is equal in magnitude and the sum of the total normal reaction force is equal to the weight of the table acting at the centre of the table.
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The horizontal lines at the end of the legs of the table are the frictional forces.
Question 19.A man is standing still on a level floor. What forces act on him? Draw a free body
diagram (FBD) to show all forces acting on him.
Answer:![](data:image/png;base64,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)
If a man is standing still on the level floor the FBD of the man would have only two forces acting on the man , the forces are Weight of the man and the Normal reaction force of the man. The arrows pointing upwards are the normal force whereas the arrows pointing downwards are representing weight.
If a man is walking the FBD of him would be completely different from this.
Question 20.How do you appreciate the role of friction in facilitating our various activities?
Answer:Frictional force or friction has many to do with our daily lives without the friction our life would be very difficult, but the activities friction facilitates are :-
i. In walking friction through the ground give us a forward push as reaction when we push it.
ii. In writing when we have to draw something beautiful, friction is there when we move our pencil on the paper the graphite of the pencil gets on the paper by friction and the pressure applied.
iii. In vehicle motion and breaks the friction on the roads is the one that helps us to move our vehicle from one place to another and helps us to apply breaks whenever we want to , if we drive on icy roads where there is almost no friction the our car won’t run and also won’t stop properly.
These are the general things we do in our daily lives in which friction is involved and plays very important role.
Drifting of a car due to friction.
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)
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)
Question 21.A monkey hangs stationary at the end of the vertical vine. What forces act on the monkey?
Answer:![](data:image/png;base64,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)
Downward arrows are the weight and the upward arrows are friction
The weight of the monkey and the frictional force from the contact(which depends on the strength with which monkey is holding the vein, more the strength more the friction ), the friction will increase with normal force of vertical vein and the monkey hand and tail , act on the monkey. Weight acts on the full body but is felt by the contact parts , in this case it is monkey’s hands.
These are the two forces acting on the monkey.
It is in the vertical case only and also if the weight of the monkey is on the tail the there is a pulling force in the tail of the monkey also.
What is a force? What changes can be produced by a force?
Answer:
Force is a physical (magnitude + direction) quantity which is represented as a ratio of change in momentum divided by change in time and is generally told as, force is a push or a pull that can change the state of the motion or can change the shape of the object on which force is applied. The strength of the force is called magnitude and there is always a direction mentioned along with the magnitude.
The equation F= ma is the main equation used.
The changes produced by the force are:-
I. Force can stop a moving object.
II. Force can initiate the motion of an object at rest.
III. Force can change the shape of the object.
IV. Force can change the direction of moving object.
V. Force can change the speed of the object.
VI. Force can rotate an object at rest or motion.
Question 2.
State an example of a situation mentioned below in which a force:
a) changes the speed of an object
b) changes the shape of an object
c) changes the direction of an object.
Answer:
a) Kicking a football- we can make the football move from rest or we can change the speed of the moving ball by kicking it.
b) Stretching a rubber band-when we stretch a rubber band its shape gets changed according to the applied force, we can enlarge it’s length or can make it small by squeezing it with some force.
c) Cricket batsman-The batsman hits the ball with his choice he can either change the direction of moving ball entirely by hitting the ball towards baller or he can just touch the ball firmly or at the periphery to hit it sidewards.
Question 3.
How can you differentiate between a contact force and a force at a distance?
Answer:
To differentiate between these two forces we must first understand the meaning of them:-
Contact forces- Those forces in which there is a physical contact between the surfaces on which force is applied.
Noncontact forces-Those forces in which there is no physical contact between the surfaces and the force acts between them from a distance on which force is applied.
Hence to differentiate between these two forces we must look for physical contact between the surfaces. If there is physical contact then it is a contact force otherwise it is non-contact force.
Question 4.
Give two examples each for a contact force and a force at a distance.
Answer:
Examples of contact and non-contact forces are :-
a) CONTACT FORCE – Friction force(for this force to operate the two rough surfaces must be in contact) and Normal force(for this force to operate the contact of the object with the earth directly or indirectly must be there).
b) NON-CONTACT FORCE – Magnetic force(we have seen magnets to repel and attract themselves without any contact between them) and Gravitational force(when we jump or when we throw something up earth exerts a force on us called gravity and pulls the thing down even when we are not in contact with earth).
Question 5.
Detect the errors in the following statement and rewrite it making necessary corrections.
“Because the car is at rest, no forces are acting on it”.
Answer:
To get the statement correct we must understand the concept of net force . The resultant or the total sum of all the forces acting on the body are equal to the net force acting on that body , net force means total force acting on the body.
Thus the statement can be corrected in two ways :-
a) “Because the car is at rest, no net force is acting on it.” , or
b) “Because the car is at rest, two forces are acting on it they are gravitational force(gravity) and the normal which sum up to zero.”
Question 6.
Why do tools meant for cutting always have sharp edges?
Answer:
Cuttingmeans the insertion of a thin object all along in a body so that the body gets divided into parts .Tools with thin or sharp edges allows us to concentrate or focus our applied force on less area through which the cutting of the object starts or we can say that the exerted pressure is more in case of thin tools.
Whereas in case of thick tools the applied force gets exerted on a large area and hence the pressure is distributed over a large area so no penetration or insertion of the object happens, hence no cutting appears.
Question 7.
Objects change their state of motion due to the net force acting on them. Do you agree with this statement? Discuss with examples.
Answer:
If Fnet≠0, only then we can say that the state of motion can be changed, if Fnet=0 the state of motion can never change as force is the product of mass and acceleration and to change the speed of an object we must need acceleration. Yes, I agree with the statement.
Question 8.
When you push a heavy object, it doesn’t move. Explain the reason in terms of net Force.
Answer:
When any object is at rest and we try to move it the forces acting on the object are friction and the applied force by us. The object starts to move only when it’s Fnet≠0 and as we know that when the object is at rest and we apply force on it, the frictional force acting on it is the static friction which is not constant and is equal to the applied force till the object just starts to move and sliding friction takes over when the object moves properly.
Question 9.
If you push a heavy box which is at rest, you must exert some force to start its motion. However, once the box is sliding, you can apply a lesser force to maintain that motion. Why?
Answer:
When we try to push a heavy box which is at rest and as we know that when an object is at rest the frictional force acting on that is static friction which is not constant and static friction is equal to the applied force and increases as we increase the applied force till the object just starts to move and the maximum value of the static friction is greater than the value of sliding frictionwhich is constant and occurs when the object starts sliding or moving properly. The magnitude of sliding friction is always less than static friction.
Question 10.
Find net forces from the following diagrams.
Answer:
As we need to calculate Fnet and we know that force is a quantity possessing magnitude and direction ,so, we need to consider the directions also with the numeric values of the forces applied on the blocks.
The forces in opposite directions are to be subtracted from each other and the forces in same direction or parallel are to be added to each other. The resultant force will be in the higher magnitude force direction.
a.
b.
c.
d.
e.
Question 11.
How do you increase the pressure by keeping (a) area unchanged and (b) force unchanged?
Answer:
Pressure is the ratio of force divided by area precisely the force counted is perpendicular to the area of consideration and not at any angle other than 90˚.
As we know that to increase the value of fraction we must increase the value of numerator or decrease the value of denominator.
a) To increase the pressure by keeping area constant or unchanged we must increase the force perpendicular to the area.
b) To increase the pressure by keeping force constant or unchanged we must decrease the area of application.
Question 12.
Imagine that friction has disappeared from the earth. What will happen? Explain.
Answer:
When friction will disappear from the Earth, the following things will happen:-
1. The brakes of the vehicles won’t work and the vehicles won’t run as the driving moving force is friction, the engine gives the rotating power to the wheels, the friction makes the car move forward.
2. We won’t be able to walk because we walk when we apply force on the ground backward and the ground applies it’s friction force forward, hence we walk.
3. We won’t be able to pick objects as the weight of the objects pulls it downward and the friction counter balances the weight and we are able to hold objects.
4. We won’t be able to write with pencil. As we write on paper due to friction the pencil graphite gets traced on the paper etc.
Question 13.
Karthik is observing the live telecast of a one day cricket match. He noticed motion of a roller on the pitch during lunch break. He thought about various forces acting on the roller and the net force when it is in motion. Many questions arose in his mind regarding the direction of the net force. Can you guess what would be those questions?
Answer:
i. What are the forces acting on roller when the roller is at rest and when it is moving?
ii. Does the forces acting on the roller depend upon the direction of motion of the roller?
iii. Can we get the direction of net force when force is applied on the roller by the people driving it?
iv. Are there more than two net forces ?!
Question 14.
Design and conduct experiments to test few ways how friction may be reduced.
Answer:
Friction helps us to do various works but it is also evil , and to reduce this evil there are many ways that are:-
a) Make the surfaces smoother by decreasing the roughness.
b) Lubricating the surfaces.
c) Make use of wheels that is use rolling friction rather than sliding friction.
d) Reduce the contact and hence increase the space between the surfaces.
e) Objects moving in fluids (liquids and gases) have streamline shapes to reduce friction by fluids called drag.
f) In cars not only due to tyres we can reduce friction but due to the design of the car that is the streamlined car and the aerodynamics technology can reduce the air drag or the friction due to air(wind).
EXPERIMENT-1,Smoother surfaces have less friction.
Place a smooth inclined plane on a smooth table. Put a mark with a pen at any point A on the inclined plane. Now let a dry cell move down from this point. How far will it move , note the distance from the end of the inclined plane. Now place a cloth or sandpaper on the table , provided , they do not have any wrinkles on them. Now repeat the above steps i.e. make the dry cell move from the same point A and when it stops note the distance from the foot of the inclined plane till where it stops. You will observe that the cell moved larger distance in the case of smooth table surface and moved less distance in the cloth case and the least distance in the sand paper case because of friction. So we need smoother surfaces to reduce friction.
EXPERIMENT-2,Rolling has less friction than sliding.
Take a few pencils which are cylindrical(not hexagonal or triangular) in shape. Place them parallel to each other on a smooth table. Place a thick book over them and try to push the book , you will observe that the pencils roll when we push the book accordingly. Now try to push the book when it is kept on table directly , you will feel more effort is applied in this case than the pencil rolling one. So we need to use wheels to reduce friction.
Question 15.
a) Take two identical straws and suspend one of them freely. Rub the other straw with a piece of paper. Bring the rubbed end of the straw near the suspended one.
What do you observe from this activity? Can you tell which type of force is it?
b) Comb your dry hair. Bring the comb near small pieces of paper. What do you observe? Explain.
Answer:
There are forces of many types in the nature not only the muscular force of humans but also other forces between electric charges , magnets etc.
a) When we do this activity we will observe that there is attraction between the two straws but not a strong one. This type of force is called electrostatic force. It is a non-contact force. It is formed due to induction of charge by friction or rubbing.
But after some time this effect disappears.
b) The pieces of paper gets attracted to the comb but the attraction is not very strong one. This type of force is called electrostatic force. It is due to when we rub the comb to our dry hair due to friction the comb gets induced charge and hence the charged comb attracts the bits of paper. But after some time the ability of the comb gets lost.
Question 16.
Collect pictures from various sources like internet, magazines, newspapers, etc, to illustrate contact forces, forces and prepare a scrap book.
Answer:
Examples of contact forces are :-
Tension(pulling force)
Frictional force or friction
Normal (reaction force) Fn
Tug of war game, It has contact force mechanism.
Question 17.
A stick is placed on steps as shown in the figure. Draw normal forces on the stick.
Answer:
As Normal is the reaction contact force which acts when there is some action force and Hence the Normal reaction force should be equal to the weight of the rod which is downward. In this situation the normal is not a operating on a single one but it is operating on 2 points in contact with the staircase.
N2 is slightly tilted towards N1 and N1 is straight and perpendicular to the staircase.
Question 18.
Observe the figure below and find in which direction the force of friction acts. Also indicate the normal forces and their directions.
Answer:
The frictional force acts opposite to the direction of the applied force or the driving force applied by the boy on the table because frictional force prevents relative motion between two surfaces in contact.
The normal reaction force is acting on every leg of the table and is equal in magnitude and the sum of the total normal reaction force is equal to the weight of the table acting at the centre of the table.
The horizontal lines at the end of the legs of the table are the frictional forces.
Question 19.
A man is standing still on a level floor. What forces act on him? Draw a free body
diagram (FBD) to show all forces acting on him.
Answer:
If a man is standing still on the level floor the FBD of the man would have only two forces acting on the man , the forces are Weight of the man and the Normal reaction force of the man. The arrows pointing upwards are the normal force whereas the arrows pointing downwards are representing weight.
If a man is walking the FBD of him would be completely different from this.
Question 20.
How do you appreciate the role of friction in facilitating our various activities?
Answer:
Frictional force or friction has many to do with our daily lives without the friction our life would be very difficult, but the activities friction facilitates are :-
i. In walking friction through the ground give us a forward push as reaction when we push it.
ii. In writing when we have to draw something beautiful, friction is there when we move our pencil on the paper the graphite of the pencil gets on the paper by friction and the pressure applied.
iii. In vehicle motion and breaks the friction on the roads is the one that helps us to move our vehicle from one place to another and helps us to apply breaks whenever we want to , if we drive on icy roads where there is almost no friction the our car won’t run and also won’t stop properly.
These are the general things we do in our daily lives in which friction is involved and plays very important role.
Drifting of a car due to friction.
Question 21.
A monkey hangs stationary at the end of the vertical vine. What forces act on the monkey?
Answer:
Downward arrows are the weight and the upward arrows are friction
The weight of the monkey and the frictional force from the contact(which depends on the strength with which monkey is holding the vein, more the strength more the friction ), the friction will increase with normal force of vertical vein and the monkey hand and tail , act on the monkey. Weight acts on the full body but is felt by the contact parts , in this case it is monkey’s hands.
These are the two forces acting on the monkey.
It is in the vertical case only and also if the weight of the monkey is on the tail the there is a pulling force in the tail of the monkey also.