1) A mass hangs on a string fixed at point P. It starts from position 1 and swings to the furthest position on the opposite side, position 2. It then oscillates several times with decreasing amplitude before ending at position 3.

Where does the mass have the most kinetic energy?

2) A workman rolls a barrel of weight 2000 N up a plank of length 2.00 m and on to a lorry.
The back of the lorry is 0.80 m above the horizontal surface of the road.

What is the work done on the barrel against gravity?

3) A 300 N force is applied to a box to move it up a ramp, as shown.

How much work is done by the force when moving the box from X to Y?

4) The efficiency of an electrical generator is 65 %. The energy input to the generator is 12 kJ. What is the useful energy output?

5) An object of mass m passes a point X with a velocity v and slides up a frictionless incline to stop at point Y which is at a height h above X.

A second object of mass m/2 passes X with a velocity of v/2. To what height will it rise?