Class 8th Physics & Chemistry AP Board Solution
Improve Your Learning- Do you agree with the statement, "friction is both good and an evil"? Explain with…
- Explain why sportsmen use shoes with spikes?
- Would it be easier or more difficult for you to walk on soapy water on the marble floor?…
- What ways do you suggest to reduce friction?
- What conditions are needed for static friction to come into play?…
- Give examples of practical application of static friction.
- Give examples showing the existence of sliding friction.
- Explain how can you measure frictional force?
- Explain how does lubrication reduce friction?
- What kinds of friction do you know?
- Explain why sliding friction is less than static friction?
- Give examples of how is friction responsible for energy wastages? Give suggestions to…
- Seetha is observing a moving bus with the luggage on its top. As the bus is moving slowly…
- Collect information either from the internet or from books in the library, about various…
- Draw a free body diagram (FBD) to show various forces acting on a body which is sliding on…
- “Reducing friction to the lowest possible level in machine tools solves the problem of the…
- Do you agree with the statement, "friction is both good and an evil"? Explain with…
- Explain why sportsmen use shoes with spikes?
- Would it be easier or more difficult for you to walk on soapy water on the marble floor?…
- What ways do you suggest to reduce friction?
- What conditions are needed for static friction to come into play?…
- Give examples of practical application of static friction.
- Give examples showing the existence of sliding friction.
- Explain how can you measure frictional force?
- Explain how does lubrication reduce friction?
- What kinds of friction do you know?
- Explain why sliding friction is less than static friction?
- Give examples of how is friction responsible for energy wastages? Give suggestions to…
- Seetha is observing a moving bus with the luggage on its top. As the bus is moving slowly…
- Collect information either from the internet or from books in the library, about various…
- Draw a free body diagram (FBD) to show various forces acting on a body which is sliding on…
- “Reducing friction to the lowest possible level in machine tools solves the problem of the…
Improve Your Learning
Question 1.Do you agree with the statement, "friction is both good and an evil"? Explain with examples.
Answer:Yes, friction is both good and bad.
Friction is advantageous:
1. While walking as without friction it would be difficult for us to step on the ground
2. In the movement of vehicles on road.
3. In holding a pencil while writing.
Friction is disadvantageous:
1. As more work is to be done while movement of an object.
2. Due to friction, there will be wear in machines. As a result, their life and efficiency get reduced.
Question 2.Explain why sportsmen use shoes with spikes?
Answer:The spikes in shoes increase the interlocking between the shoes and rough surface of the ground increasing the friction between the two surfaces. This decreases the chances of slipping at the surface to a great extent and increases the grip between the shoes and the ground. Fast movement becomes easier as the grip increases. Therefore sportsmen use shoes with spikes.
Below is a diagram of a sportsperson along with the forces acting on him:
![](data:image/png;base64,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)
Question 3.Would it be easier or more difficult for you to walk on soapy water on the marble floor? Why?
Answer:When we walk on the floor, the friction acts opposite to the motion as shown in the figure below.
![](data:image/png;base64,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)
On a marble force, the surface is rough. And, we know rough surface offers more friction. But, on a soapy floor, the soap acts as a lubricant and the lubricant decreases the friction between the shoe & the floor.
So, people tend to slip on a marble floor covered with soapy water.
Question 4.What ways do you suggest to reduce friction?
Answer:Friction can be reduced by:
1. Making the rough surfaces smooth – When the interacting surfaces are rough, the interlocking between these surfaces is more and as a result there is an opposition to advancement of the object (i.e. friction). If the surface is made smooth, the interlocking between the surfaces decreases and as a result opposition to the movement of the body decreases. This reduces friction.
2. Adding lubricant to a rough surface – Lubricant serves as a medium that prevents interlocking between the surfaces by filling up the gaps, thereby reducing friction.
3. Making the objects more streamlined- When objects move, the air around them drags them. To prevent this we make the surfaces curved so that they cut through the air this, reducing the drag(i.e. friction).
4. Reducing forces acting on the surface- Friction is directly proportional to the normal force acting on the object. So by reducing the forces acting on the object, normal force can be reduced and as a result, friction also reduces.
Example, the forces acting on a sportsperson:
![](data:image/png;base64,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)
5. Reducing contact area between the surfaces- If the contact area between the surfaces is reduced, the interlocking between surfaces is reduced. As a result, the opposition to movement is reduced and friction reduces.
Question 5.What conditions are needed for static friction to come into play?
Answer:Conditions required for static friction to come into play are:
1. A force needs to be applied to the object being considered.
2. The applied force should not be able to move the object. It should be less than maximum static friction.
Consider an object M of mass m kg. Consider a force F acting on the object.
![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAoHBwgHBgoICAgLCgoLDhgQDg0NDh0VFhEYIx8lJCIfIiEmKzcvJik0KSEiMEExNDk7Pj4+JS5ESUM8SDc9Pjv/2wBDAQoLCw4NDhwQEBw7KCIoOzs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozv/wAARCACcAJ8DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD2aiiigAooooAKKKKACiiigArzrxBqNsPG2o2uqeLLvRLaCyhkt0huVjDMd247SDuPA4Fei1y7+Gvt3ivWbjULSKXT76yhgQtgkkbt3HUdRzSf9fcMveELvU77wtY3Oroy3siEvuTYWGTtYr2JXBx71tVjeE7bVLHw/BY6v81xaloVl37vNjU4Rz7lcdea2ap7krYKKKKQwooooAKKKKACiiigAooooAKKKKACiiigAooooAK5DxJ4u1HRvGehaJbWEM0GpMweR5MNx6emM5569OK6+vOPHH/JVPBX+/L/AEoA9HooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiqcusaXBK0U2pWkcinDI86gg+4zTP7d0f8A6C1l/wCBCf40AX6848cf8lU8Ff78v9K7j+3dH/6C1l/4EJ/jXn3jTU9Pm+Jvg6eK+tniieXzHWZSqdOpzxQB6hRVD+3dH/6C1l/4EJ/jR/buj/8AQWsv/AhP8aAL9FUP7d0c/wDMVsv/AAIT/GrwIIBByD0NAC0UUUAFFFFABRRRQAUUUUAFFFFABRRRQB5l4J8J6Brx8Q3Wq6VBdzrrl0gkkBJCgggfqa6f/hXHg3/oXrP/AL5P+NZ/wy/49vEf/Yfuv/Za7agDmf8AhXHg3/oXrP8A75P+NcN4t8I+HrH4ieFNPtdJt4rW8eQTxKDiTGMZr1+vOPHH/JVPBX+/L/SgDof+FceDf+hes/8Avk/40f8ACuPBv/QvWf8A3yf8a6aigDzvxx4F8Lad4K1a8s9DtYbiG3Zo5FU5U+o5rtNA/wCRd0z/AK9Iv/QBWV8Rv+Se63/16tWroH/Iu6Z/16Rf+gCgDQooooAKKKKACiiigDGvPF/hvT7x7O81yxguIzh4pJ1DKfcVsAhgGByCMg159pF1qkHijxKlj4ej1KJtRG+ZrpIih8tOMMCT613OoLePptwunvHHeGJhC0oyqvjjI9M0LZMOpZoriItO+JvlJv13RQ20ZzasTmnf2d8S/wDoPaJ/4CNQB2tFcV/Z3xL/AOg9on/gI1H9nfEv/oPaJ/4CNQAnwy/49vEf/Yfuv/Za7avI/A1n43lg1r+y9W0uFV1i4Wfzrdm3S8bmXHRTxgV0/wDZ3xL/AOg9on/gI1AHa15x44/5Kp4K/wB+X+laX9nfEv8A6D2if+AjVxfim08Yp4+8Lx32p6bLfu0n2SSOBgkZ4zuHegD2miuK/s74l/8AQe0T/wABGo/s74l/9B7RP/ARqAND4jf8k91v/r1atXQP+Rd0z/r0i/8AQBXn/jOx8ex+DtUfUtY0ma0FufOjitmV2X0B7GtDSLD4ito1i1vrejJCbeMxq1qxIXaMA++KAPQKK4r+zviX/wBB7RP/AAEaj+zviX/0HtE/8BGoA7Worm5gs7aS5uZUhhiUs8jnCqB1JNcf/Z3xL/6D2if+AjVHrEHiKD4c+I18R3dpczGGUwtbRlQE29/xzSbsrjSu7HSab4n0HWLk22m6vaXcwUsY4ZQzYHfA+tatc54Xu9UmghS+8PR6dCtupW4W6STfwOMAAjjmugiminTfDIki/wB5GBFU1Zkp3RR0zRoNLvNRuoZJHbUbjz5A5GFO0LgcdMCtGiikMKKKKACiiigDifhl/wAe3iP/ALD91/7LXbVxPwy/49vEf/Yfuv8A2Wu2oAK848cf8lU8Ff78v9K9Hrzjxx/yVTwV/vy/0oA9HooooA5r4jf8k91v/r1atXQP+Rd0z/r0i/8AQBWV8Rv+Se63/wBerVq6B/yLumf9ekX/AKAKANCiiigAqlrGlxa1o93pk7vHFdRGJ2TG4A+mau0UPUDPvrK4Ogy2Ni8YmFv5cTTDK5xgZrP8L6PeaVJqD3KhEuZEeOMShyuECnOFUZJHYV0FFHW4BRRRQAUxpY0OHkVT6E4p9cp4m8DJ4j1Rb5tQNuViEewQ7uhJznI9aibkleKuy4KLdpOyOn+0Q/8APaP/AL6FH2iH/ntH/wB9CuB/4VRH/wBBhv8AwHH/AMVR/wAKoj/6DDf+A4/+KrH2lf8Ak/E39nR/n/AzfDnilvCNxrtje+H9auGn1e4uI5LW13oyMRjByPStr/hadr/0K3iT/wAAB/8AFVB/wqlP+gy//gOP/iqP+FUp/wBBp/8AwHH/AMVR7St/J+IvZ0f5/wACf/hadr/0K3iT/wAAB/8AFVxvijxvBqHjzwzqS6JrEK2LSFoZrXbJLnH3FzzXV/8ACqU/6DT/APgOP/iq4/xN4IXTvHXhrTf7QaQXrOPM8rGzGO2eacZ1W9YfiKUKSWk/wO3/AOFp2v8A0K3iT/wAH/xVH/C07X/oVvEn/gAP/iqg/wCFUp/0Gn/8Bx/8VR/wqlP+g0//AIDj/wCKpe0rfyfiP2dH+f8AAoeK/Hqa74W1HSrXwz4hSa6hMaNJY4UE+uCa77RHSDQtPildUkjtY1ZSwyCFGRXIf8KpT/oNP/4Dj/4qk/4VRH/0GG/8Bx/8VR7St/J+Iezo/wA/4HffaIf+e0f/AH0KPtEP/PaP/voVwP8AwqiP/oMN/wCA4/8AiqP+FUR5H/E4b/wHH/xVHtK/8n4j9nR/n/A9CopAMAD0FLXScoUUUUAFFFFABRRRQAUUUUAFFFFABXnHjj/kqngr/fl/pXo9eceOP+SqeCv9+X+lAHo9FFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFcb4m8IaprPjTQ9atdRhhg04sWR4ssueuPXOMc9OvNdg7pGpeRlRR1LHApn2q3xIftEWIv9Z84+T6+lAEtFM86LyfO8xPKxu37htx65pkN3bXJIguIpSBkhHDY/KgCaiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooA5X4mAH4f6mGOARGM5x/y0Wsi48JaDD480qyj02JbWbT5XmgH3J2Rk2tIP4yNx5bNd9LDFPGY5o0kRuquoIP4GgwxGVZTGhkUFVfaMgHqAaFow6Hkt6YbLwlLafuvsNr4mliWK5Y/ZljUkiOTAJCZ6DB5xxXSfDiz0kSarqVg+kebdSqGg0zlLdQoAXJAPJ+boBnpTviaTo/htNdscQ3Wm3S3EShRsd2+Ul1xzwx56571B8LryfxHa3XirUXDahdYtmCKFRUQnAA9ck5JJoj1/rogl/X3s76iiigAooooAKKKKACiiigD/9k=)
In the above figure, Fa is the frictional force on the object.
For static friction to exist, Fa>F.
Question 6.Give examples of practical application of static friction.
Answer:Static friction comes into play when
1. Tyres gain grip which is also known as the attraction between the drive wheel and the road surface.
2. Consider a person climbing a 'chimney', which is a gap between two stone walls, with no hand holds or grips, but plenty of friction as shown in the figure below.
![](data:image/png;base64,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)
Here the friction is increased by increasing the normal force between the person and the walls. As the normal force increases friction also increases as
frictional force = friction coefficient × normal force
Question 7.Give examples showing the existence of sliding friction.
Answer:Sliding Friction: Sliding friction is also known as kinetic friction, or moving friction, and is defined as the force that is required to keep a surface sliding along another surface.
Examples of sliding friction are:
1. A block being slid across the floor or an inclined surface.
![](data:image/jpeg;base64,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)
2. Heat produced while rubbing hands is due to sliding friction.
Rubbing your hands together is an example of friction. The friction causes the hands to slow down as they are rubbed and this generates heat.
Heat is created whenever there is friction.
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)
Question 8.Explain how can you measure frictional force?
Answer:Frictional force can be measured by spring balance method.
SPRING BALANCE METHOD:
1. Place a wooden block on a table and connect it to a spring balance. Ensure that the spring is parallel to the table.
2. Pull the spring balance slowly until the block begins to slide.
3. The load on the spring balance when the block begins to slide is a measure of the static friction.
4. The reading on the spring balance when the block continues to slide is a measure of the sliding friction.
5. We can also measure the coefficient of friction ;
μ = spring force/normal force.
(OR)
Frictional force can be measured if we know he friction coefficient of a surface. Consider a surface having a coefficient of friction as μ.
Frictional force = μ × Normal force acting on the surface(load)
Question 9.Explain how does lubrication reduce friction?
Answer:Friction comes into play when two bodies in relative motion come in contact with each other.
Friction restricts the relative motion between two bodies in contact. This is due to uneven surfaces which discourage smooth motion. But when a lubricant is added it fills in the uneven surface making it smooth. So frictional force between two surfaces gets reduced.
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)
In the above figure, the lubricating oil fills the rough gaps between the two surfaces making them smooth.
Question 10.What kinds of friction do you know?
Answer:There are three kinds of friction:
1. Static friction: It is a force acting on the surface which keeps the object at rest when acted upon by an external force which tends to move the object across the floor.
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Example: Holding a wooden block against a wall by applying force perpendicular to the wall. Here the block stays at rest until a perpendicular force acts on the block and is set into motion once the force is removed. While the block is at rest, the friction acting is known as static friction.
2. Sliding friction: Once the object is set in motion, it experiences sliding friction.
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Example: A block being slid across a slant surface experiences sliding friction.
3. Rolling friction: It is a type of frictional force resisting the motion when a body rolls on a surface.
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Example: The friction between car wheel and the road is called rolling friction and it is responsible for halt of the car when the tyres of the car are not driven by the engine.
Question 11.Explain why sliding friction is less than static friction?
Answer:Static friction is less than sliding friction as in sliding friction, the object does not move. So the interlocking between the two rough surfaces is more. When a body starts moving the time for interlocking gets reduced. As a result sliding friction is less than static friction.
Question 12.Give examples of how is friction responsible for energy wastages? Give suggestions to reduce energy wastages by friction.
Answer:Friction resists the relative motion between two bodies. So greater the resistive force, lesser is the amount of work done. This leads to wastage of applied with the intent of having some work done b the object.
Examples:
1. Overheating of the engine of vehicles. The friction in the engine is responsible for producing heat ( Total energy remains constant according to Law of Conservation of Energy. So the amount of energy which is not being used to do work is getting converted into heat energy.)
2. Friction also causes wear and tear of moving parts of a device. Materials get torn away at the surfaces because of the movement between rough and uneven surfaces.
Suggestions to reduce energy wastages:
1. Friction can be reduced by using lubricating oil between two rough surfaces to make them smooth.
2. We know that rolling friction is lesser than kinetic friction. So wheels can be attached to a moving object to convert the kinetic friction into rolling friction.
Question 13.Seetha is observing a moving bus with the luggage on its top. As the bus is moving slowly there is a change in the state of luggage on its top. But when the bus speeds up and starts moving fast, she noticed that the luggage on the top of the bus fell to the back of the bus. This raised many doubts in her mind regarding the effect of a frictional force acting on the luggage as well as on the tyres of the bus. Can you guess the questions raised in her mind? Write them.
Answer:The questions raised in her mind might be:
1. How does friction affect the luggage on the bus?
2. What is the kind of friction when the bus is moving slowly?
3. What is the kind of friction when the bus is moving rapidly?
4. What effect does friction have on tyres of the bus?
Question 14.Collect information either from the internet or from books in the library, about various new techniques being adopted by human beings to reduce energy losses due to friction. Prepare a note on that.
Answer:1. Lubrication of surfaces by filling the rough uneven surfaces by a suitable lubricant reduces friction. Common lubricants are oils, powders etcetera.
2. Smoothening of the surface also helps in reducing the energy losses due to friction. This is because the interlocking between the surfaces reduce when they are smoothened. As a result of the force required to overcome friction reduces.
3. By using bearings and wheels, sliding friction can be converted to rolling friction which is much lesser than the latter.
Question 15.Draw a free body diagram (FBD) to show various forces acting on a body which is sliding on an inclined plane.
Answer:![](data:image/png;base64,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)
In the above figure
mg= weight of the object.
N= Normal force due to a component of weight of the object
f= frictional force
Question 16.“Reducing friction to the lowest possible level in machine tools solves the problem of the energy crisis and conserve biodiversity”. How do you support the statement? Explain?
Answer:We know that friction increases the wastage of energy in devices. More is the friction, more energy is used to make the device overcome friction to do some work. If a device is run by fuel then in case of excess friction, it requires huge amounts of fuel to provide more energy. By lessening the frictional force, it is possible to reduce energy consumption thus paving way for conservation of biodiversity. ( As fuel is obtained from trees and fossils.)
Do you agree with the statement, "friction is both good and an evil"? Explain with examples.
Answer:
Yes, friction is both good and bad.
Friction is advantageous:
1. While walking as without friction it would be difficult for us to step on the ground
2. In the movement of vehicles on road.
3. In holding a pencil while writing.
Friction is disadvantageous:
1. As more work is to be done while movement of an object.
2. Due to friction, there will be wear in machines. As a result, their life and efficiency get reduced.
Question 2.
Explain why sportsmen use shoes with spikes?
Answer:
The spikes in shoes increase the interlocking between the shoes and rough surface of the ground increasing the friction between the two surfaces. This decreases the chances of slipping at the surface to a great extent and increases the grip between the shoes and the ground. Fast movement becomes easier as the grip increases. Therefore sportsmen use shoes with spikes.
Below is a diagram of a sportsperson along with the forces acting on him:
Question 3.
Would it be easier or more difficult for you to walk on soapy water on the marble floor? Why?
Answer:
When we walk on the floor, the friction acts opposite to the motion as shown in the figure below.
On a marble force, the surface is rough. And, we know rough surface offers more friction. But, on a soapy floor, the soap acts as a lubricant and the lubricant decreases the friction between the shoe & the floor.
So, people tend to slip on a marble floor covered with soapy water.
Question 4.
What ways do you suggest to reduce friction?
Answer:
Friction can be reduced by:
1. Making the rough surfaces smooth – When the interacting surfaces are rough, the interlocking between these surfaces is more and as a result there is an opposition to advancement of the object (i.e. friction). If the surface is made smooth, the interlocking between the surfaces decreases and as a result opposition to the movement of the body decreases. This reduces friction.
2. Adding lubricant to a rough surface – Lubricant serves as a medium that prevents interlocking between the surfaces by filling up the gaps, thereby reducing friction.
3. Making the objects more streamlined- When objects move, the air around them drags them. To prevent this we make the surfaces curved so that they cut through the air this, reducing the drag(i.e. friction).
4. Reducing forces acting on the surface- Friction is directly proportional to the normal force acting on the object. So by reducing the forces acting on the object, normal force can be reduced and as a result, friction also reduces.
Example, the forces acting on a sportsperson:
5. Reducing contact area between the surfaces- If the contact area between the surfaces is reduced, the interlocking between surfaces is reduced. As a result, the opposition to movement is reduced and friction reduces.
Question 5.
What conditions are needed for static friction to come into play?
Answer:
Conditions required for static friction to come into play are:
1. A force needs to be applied to the object being considered.
2. The applied force should not be able to move the object. It should be less than maximum static friction.
Consider an object M of mass m kg. Consider a force F acting on the object.
In the above figure, Fa is the frictional force on the object.
For static friction to exist, Fa>F.
Question 6.
Give examples of practical application of static friction.
Answer:
Static friction comes into play when
1. Tyres gain grip which is also known as the attraction between the drive wheel and the road surface.
2. Consider a person climbing a 'chimney', which is a gap between two stone walls, with no hand holds or grips, but plenty of friction as shown in the figure below.
Here the friction is increased by increasing the normal force between the person and the walls. As the normal force increases friction also increases as
frictional force = friction coefficient × normal force
Question 7.
Give examples showing the existence of sliding friction.
Answer:
Sliding Friction: Sliding friction is also known as kinetic friction, or moving friction, and is defined as the force that is required to keep a surface sliding along another surface.
Examples of sliding friction are:
1. A block being slid across the floor or an inclined surface.
2. Heat produced while rubbing hands is due to sliding friction.
Rubbing your hands together is an example of friction. The friction causes the hands to slow down as they are rubbed and this generates heat.
Heat is created whenever there is friction.
Question 8.
Explain how can you measure frictional force?
Answer:
Frictional force can be measured by spring balance method.
SPRING BALANCE METHOD:
1. Place a wooden block on a table and connect it to a spring balance. Ensure that the spring is parallel to the table.
2. Pull the spring balance slowly until the block begins to slide.
3. The load on the spring balance when the block begins to slide is a measure of the static friction.
4. The reading on the spring balance when the block continues to slide is a measure of the sliding friction.
5. We can also measure the coefficient of friction ;
μ = spring force/normal force.
(OR)
Frictional force can be measured if we know he friction coefficient of a surface. Consider a surface having a coefficient of friction as μ.
Frictional force = μ × Normal force acting on the surface(load)
Question 9.
Explain how does lubrication reduce friction?
Answer:
Friction comes into play when two bodies in relative motion come in contact with each other.
Friction restricts the relative motion between two bodies in contact. This is due to uneven surfaces which discourage smooth motion. But when a lubricant is added it fills in the uneven surface making it smooth. So frictional force between two surfaces gets reduced.
In the above figure, the lubricating oil fills the rough gaps between the two surfaces making them smooth.
Question 10.
What kinds of friction do you know?
Answer:
There are three kinds of friction:
1. Static friction: It is a force acting on the surface which keeps the object at rest when acted upon by an external force which tends to move the object across the floor.
Example: Holding a wooden block against a wall by applying force perpendicular to the wall. Here the block stays at rest until a perpendicular force acts on the block and is set into motion once the force is removed. While the block is at rest, the friction acting is known as static friction.
2. Sliding friction: Once the object is set in motion, it experiences sliding friction.
Example: A block being slid across a slant surface experiences sliding friction.
3. Rolling friction: It is a type of frictional force resisting the motion when a body rolls on a surface.
Example: The friction between car wheel and the road is called rolling friction and it is responsible for halt of the car when the tyres of the car are not driven by the engine.
Question 11.
Explain why sliding friction is less than static friction?
Answer:
Static friction is less than sliding friction as in sliding friction, the object does not move. So the interlocking between the two rough surfaces is more. When a body starts moving the time for interlocking gets reduced. As a result sliding friction is less than static friction.
Question 12.
Give examples of how is friction responsible for energy wastages? Give suggestions to reduce energy wastages by friction.
Answer:
Friction resists the relative motion between two bodies. So greater the resistive force, lesser is the amount of work done. This leads to wastage of applied with the intent of having some work done b the object.
Examples:
1. Overheating of the engine of vehicles. The friction in the engine is responsible for producing heat ( Total energy remains constant according to Law of Conservation of Energy. So the amount of energy which is not being used to do work is getting converted into heat energy.)
2. Friction also causes wear and tear of moving parts of a device. Materials get torn away at the surfaces because of the movement between rough and uneven surfaces.
Suggestions to reduce energy wastages:
1. Friction can be reduced by using lubricating oil between two rough surfaces to make them smooth.
2. We know that rolling friction is lesser than kinetic friction. So wheels can be attached to a moving object to convert the kinetic friction into rolling friction.
Question 13.
Seetha is observing a moving bus with the luggage on its top. As the bus is moving slowly there is a change in the state of luggage on its top. But when the bus speeds up and starts moving fast, she noticed that the luggage on the top of the bus fell to the back of the bus. This raised many doubts in her mind regarding the effect of a frictional force acting on the luggage as well as on the tyres of the bus. Can you guess the questions raised in her mind? Write them.
Answer:
The questions raised in her mind might be:
1. How does friction affect the luggage on the bus?
2. What is the kind of friction when the bus is moving slowly?
3. What is the kind of friction when the bus is moving rapidly?
4. What effect does friction have on tyres of the bus?
Question 14.
Collect information either from the internet or from books in the library, about various new techniques being adopted by human beings to reduce energy losses due to friction. Prepare a note on that.
Answer:
1. Lubrication of surfaces by filling the rough uneven surfaces by a suitable lubricant reduces friction. Common lubricants are oils, powders etcetera.
2. Smoothening of the surface also helps in reducing the energy losses due to friction. This is because the interlocking between the surfaces reduce when they are smoothened. As a result of the force required to overcome friction reduces.
3. By using bearings and wheels, sliding friction can be converted to rolling friction which is much lesser than the latter.
Question 15.
Draw a free body diagram (FBD) to show various forces acting on a body which is sliding on an inclined plane.
Answer:
In the above figure
mg= weight of the object.
N= Normal force due to a component of weight of the object
f= frictional force
Question 16.
“Reducing friction to the lowest possible level in machine tools solves the problem of the energy crisis and conserve biodiversity”. How do you support the statement? Explain?
Answer:
We know that friction increases the wastage of energy in devices. More is the friction, more energy is used to make the device overcome friction to do some work. If a device is run by fuel then in case of excess friction, it requires huge amounts of fuel to provide more energy. By lessening the frictional force, it is possible to reduce energy consumption thus paving way for conservation of biodiversity. ( As fuel is obtained from trees and fossils.)