An 59.4-g tennis ball is dropped from rest from a height of 1.25 m. It rebounds to a height of 0.62 m.
(a) Calculate the amount of the mechanical energy lost in the process.
(b) What occurs to the lost mechanical energy?
(c) Calculate the work done by the gravitational force on the ball (including its sign) in case (i) the tennis ball drops from 1.25 m to the ground, (ii) rebounds to a height of 0.62 m?
(d) A tennis player throws the ball from a height of 1.25 m by applying a constant downwards force for a distance of 6.34 cm. As a result, the loss in the mechanical energy of the tennis ball is compensated so that the ball returns to a height of 1.25 m. Find the magnitude of this downwards force.