When body of mass m falls through a height (h) either vertically or on an inclined plane work is said to be done.
We know, work done is
W = F x S
However, the force of gravity on the body is F = mg acting vertically downwards and the vertical displacement in the direction of force is S = h.
Applying the values of F and S we get,
Work done by the force of gravity is
W = F x S = m x g x h
(a) Calculate the change in the gravitational potential energy of the skier between A and B. (b) If 75% of the energy in part (a) becomes the kinetic energy at B, calculate the speed at which the skier arrives at B.(Take g = 10 ms-2).