In: Physics
A ball is held at rest at some height above a hard, horizontal
surface. Once the...
A ball is held at rest at some height above a hard, horizontal
surface. Once the ball is released it falls, hits the surface, and
starts bouncing vertically up and down. Suppose that with each
bounce the ball loses a fixed fraction p (with 1>p>0) of its
energy. This loss could be due to a number of reasons
(inelasticity, drag, etc) that are left unspecified.
- How many times will the ball bounce before coming to rest (if
at all)? Provide a detailed explanation of your reasoning, not
simply a one-line answer.
- How long will it take for the ball to come to rest (if at all)?
Give your answer as a formula that contains as variables only p and
the time T1 from the moment that the ball was released
to the first contact with the horizontal surface.
Answer should contain careful and detailed reasoning