A basketball of mass 0.8 kg is dropped from rest from a height of 1.2 m. It rebounds to a height of 0.6 m.
(a) How much mechanical energy was lost during the collision with the floor?
(b) Define what is a non-conservative force, and find the work done by non-conservative forces on the ball.
(c) A basketball player dribbles the ball from a height of 1.2 m by exerting a constant down ward force on it for a distance of 0.1 m. In dribbling, the player compensates for the mechanical energy lost during each bounce. If the ball now returns to a height of 1.2 m, what is the magnitude of the force?