A worker wants to move a box of mass 50kg from the ground to the back of a lorry. He decides to use a ramp of length 5m which is inclined at and angle of 30 degrees.
a)The worker gives a push to the box to move it up the ramp. If friction is ignored, what is the initial speed that the worker must impart to the box for it to reach the back of the lorry?
b)In this case, friction cannot be ignored. With the initial speed calculated in (a), the box moves 4m up the ramp and slides down again. Determine the amount of energy lost to friction.
c) Hence, determine the magnitude of the frictional force between the box and the ramp. Assume that this force of friction is constant.
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