A rubber ball of mass is released from rest at a height above a rigid horizontal surface
PHYSICS · Multi-part · CBSE · Physics · Work, Energy and Power · Work, Energy and Power
Problem
A rubber ball of mass m is released from rest at a height h above a rigid horizontal surface. The ball rebounds vertically to a height 0.60h. The ball is in contact with the surface for a time interval Δt, during which the vertical force exerted by the surface on the ball can be assumed constant. Horizontal forces are negligible.
(a) In terms of m, g, and h, determine the speed of the ball immediately before it strikes the surface and the speed immediately after it loses contact with the surface.
(b) Using your results from part (a), derive an expression for the magnitude of the change in the ball’s vertical momentum while it is in contact with the surface.
(c) Hence derive an expression for the magnitude of the average vertical force exerted on the ball by the surface during contact, in terms of m, g, h, Δt, and numerical coefficients.
(d) For a ball of mass 0.080kg dropped from 2.5m that remains in contact with the surface for 8.0ms, calculate the magnitude of the average vertical force exerted on the ball.