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Higher Forces at Angles Questions
1. A 500g block held at a height of 1.6m is released from rest on a friction compensated slope.
Calculate the velocity of the block at the bottom of the slope.
2. A 1.4kg block is released from rest at a height of 1.75m down an inclined slope of length 2m.
If the block reaches a velocity of 4.78ms-1^ at the bottom of the slope, then calculate the
force of friction acting on the block down the slope.
3. What are the equations for the component of weight acting:
a) Parallel to an inclined slope.
b) Perpendicular to an inclined slope.
4. An object of mass 2.6kg is acting down an inclined plane at 30 o^ to the horizontal.
If the force of friction acting against the motion of the object of 4.94N , then calculate or find:
a) Unbalanced force on the object acting down the slope. b) Acceleration of the object down the slope.
5. A block of wood of mass 2.0kg slides with a constant velocity down a slope.
The slope makes an angle of 30° with the horizontal as shown in the diagram below.
Calculate the force of friction acting on the block of wood.
6. A cyclist free-wheels down a slope inclined at an angle of 15° to the horizontal.
The combined mass of the rider and bicycle is 80kg.
Calculate the total force of friction if the rider and bicycle move with a constant speed of 4ms-1.
11. A sledge is pulled a distance of 8m in a straight line along a horizontal surface.
Calculate or find:
a) Horizontal component of tension in the rope. b) Vertica l component of tension in the rope. c) Work Done by the rope on the sledge.
12. A box is pulled along a level bench by a rope held at a constant angle of 40° to the horizontal.
A constant force of 100N is applied to the rope and it moves a distance 10m along the bench.
Calculate the work done on the box by the rope.
13. A spring is pulled with a force of 8.5N acting at an angle of 17° from the horizontal.
Calculate the horizontal component of force acting on the spring.
14. A force of 15N acts on a box as shown below.
Calculate or find:
a) Horizontal component of force. b) Vertical component of force.
15. A new ship of mass 7.7x10^7 kg is guided out to sea by 2 tug boats.
If each tug boat pulls the ship with a force of 2.5x10^6 N at an angle of 36° on either side
of the horizontal then, calculate or find :
a) Total horizontal force exerted on the ship. b) Initial acceleration of the ship. c) The total force of friction acting on the ship if it then moves with a constant velocity. (M+D’s !!!!)
16. Two boys are pulling a car of mass 800kg along a level road surface with a pair of tow ropes,
which are attached horizontally as shown below.
When the pull on each rope is 400N as indicated above, the acceleration of the car is 0.1ms-.
Calculate the magnitude and direction of the frictional force.
20. A canal boat is pulled by two horses on either side of a canal bank.
Each horse is pulling the canal boat Due South with a force of 530N and at an angle of
34° to the vertical.
The horse on the West Bank continues to pull the boat as before , but the horse on the
East Bank then pulls with the same force but at an angle of 30°. Calculate the new resultant force acting on the canal boat.
