HARD
AS and A Level
IMPORTANT
Earn 100

A truck of mass 15000 kg is being towed by two ropes. One pulls with a tension of 3000 N at an angle of 20° to the direction of motion. The other pulls with a tension, T, at an angle of 10° to the direction of motion. There is resistance of 500 N against the motion, in the same line as the motion.

Find T and the acceleration of the truck.

Important Questions on Forces in Two Dimensions

HARD
AS and A Level
IMPORTANT
A ship of mass 10000 kg is being towed due north by two tugboats with acceleration 0.1 m s-2. One pulls with a tension of 2000 N on a bearing of 330°. The other pulls with a tension, T, on a bearing of θ. There is resistance against the motion of 1000 N. Find T and θ.
HARD
AS and A Level
IMPORTANT

A train of mass 230 tonnes provides a driving force of 300000 N to accelerate up a slope at an angle of 5° to the horizontal. The force diagram is shown. Find the acceleration of the train.

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HARD
AS and A Level
IMPORTANT

A log of mass 200 kg is dragged up a slope at an angle of 13° to the horizontal by a rope attached to a truck. The rope is at an angle of 20° above the slope.

Draw the force diagram for this situation.

HARD
AS and A Level
IMPORTANT

A log of mass 200 kg is dragged up a slope at an angle of 13° to the horizontal by a rope attached to a truck. The rope is at an angle of 20° above the slope.

The log accelerates at 0.3 ms-2. Find the tension in the rope.

HARD
AS and A Level
IMPORTANT
A windsurfer and his board have a total mass of 80 kg. They are being pushed by the water with a force of 20 N westwards. The wind is pushing them northwards with a force F. The windsurfer accelerates on a bearing of 340°. Find the force F and the acceleration of the windsurfer.
HARD
AS and A Level
IMPORTANT

A buoy of mass 12 kg is on the surface of a lake. The tide pushes it with a force of 25 N and the wind pushes it with a force of 15 N, as shown in the diagram. The buoy moves in the direction shown. Find the value of θ and the acceleration.

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HARD
AS and A Level
IMPORTANT
A girl pulls a toy car of mass 0.8 kg by a string along a horizontal path. The tension in the string is 3 N and the string is held at an angle of 40° above the horizontal. There is air resistance of 2 N. Find the time taken to reach a speed of 2 m s-1 from rest.
HARD
AS and A Level
IMPORTANT
A shopper drags a trolley of mass 25 kg from rest along horizontal ground. The shopper is pulling the trolley by a force of 30 N with his arm, which is at 15° above the horizontal. There is friction of 10 N. Find the speed of the trolley after being pulled a distance of 6 m.