MEDIUM
AS and A Level
IMPORTANT
Earn 100

A boy is dragging a box of mass 20 kg up a rough slope at an angle of 12° to the horizontal. The coefficient of friction is 0.28. He provides a force of 100 N parallel to the slope. Find the acceleration of the box.

Important Questions on Friction

EASY
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 4 - Friction>EXERCISE 4B>Q 4

A gardener is pulling a wheelbarrow of mass 8 kg from rest along rough horizontal ground. The coefficient of friction between the wheelbarrow and the ground is 0.6. The gardener provides a force of 50 N at an angle of 30° above the horizontal, as shown in the diagram. Take g=10 m s-2

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Find the acceleration of the wheelbarrow.

EASY
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 4 - Friction>EXERCISE 4B>Q 4

A gardener is pulling a wheelbarrow of mass 8 kg from rest along rough horizontal ground. The coefficient of friction between the wheelbarrow and the ground is 0.6. The gardener provides a force of 50 N at an angle of 30° above the horizontal, as shown in the diagram.

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What happens when the wheelbarrow has 20 kg of soil in it and the gardener exerts the same force at the same angle?

MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 4 - Friction>EXERCISE 4B>Q 5
A ski-plane has skis to land and take-off on snow. It has a mass of 3000 kg and has a propeller providing a force of 20000 N horizontally. It accelerates from rest on horizontal ground at 2.2 m s-2. Find the coefficient of friction between the ground and the ski-plane.Take g=10 m s-2
MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 4 - Friction>EXERCISE 4B>Q 6
A bin of mass 16 kg is held on a downhill slope at an angle of 20°. When the bin is released, it slides down the slope with acceleration 1.2 m s-2. Find the coefficient of friction between the bin and the ground.
MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 4 - Friction>EXERCISE 4B>Q 7
A ring of mass 2 kg is on a fixed rough horizontal wire with coefficient of friction 0.4. It is pulled by a rope with tension 15 N at an angle of 5° above the horizontal. Find the acceleration of the ring.
MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 4 - Friction>EXERCISE 4B>Q 8
A ring of mass 3 kg is on a fixed rough horizontal wire. It is pulled by a rope with tension 20 N at an angle of 10° above the horizontal and accelerates at 2 ms-2. Find the coefficient of friction between the ring and the wire.
MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 4 - Friction>EXERCISE 4B>Q 9
A ski-plane of mass 5000 kg accelerates from rest along a rough horizontal runway of length 600 m. It needs to reach a speed of 25 ms-1 by the end of the runway to take off. The propeller provides a horizontal force of 16000 N. Find the maximum coefficient of friction to allow the ski plane to take off. Take g=10 m s-2
MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 4 - Friction>EXERCISE 4B>Q 10
A downhill skier of mass 80 kg is accelerating down a rough slope of length 400 m at 22° to the horizontal. There is air resistance of 50 N and the coefficient of friction between the snow and the skis is 0.3. The skier is moving at 20 ms-1 at the top of the slope. Find the speed of the skier at the bottom of the slope.