Center of MassHard
Question
A ball is bouncing down a set of stairs. The coefficient of restitution is e. The height of each step is d and the ball bounces one step at each bounce. After each bounce the ball rebounds to a height h above the next lower step. Neglect width of each step in comparison to h and assume the impacts to be effectively head on. Which of the following relation is correct ? (given that h > d)
Options
A.
= 1 − e2
= 1 − e2B. = 1 − e
= 1 − eC. = 
= D. = 
= Solution
Velocity of the ball on striking = 
After that ball goes to height less than (h) due to inelastic collission =
= e
h − d = e2h ⇒
= 
After that ball goes to height less than (h) due to inelastic collission =
= eh − d = e2h ⇒
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