A heavy elastic ball falls freely from point A at a height H 0 onto the smooth horizontal surface of an elastic plate. As the ball strikes the plate another such ball is dropped from the same point A. At what time t, after the second ball is dropped, and at what height will the balls meet ?
Text Solution
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Sol. t = 
; h 1 = 
H 0
The velocity of the first ball at the moment it strikes the plate will be v 0 = 
. Since the impact is elastic, the ball will begin to rise after the impact with a velocity of the same magnitude v 0 . During the time t the first ball will rise to a height h 1 = v 0 t – 
During this time the second ball will move down from a point A a distance
h 2 = 
At the moment the balls meet, h 1 + h 2 = H 0 . Hence,
t = 
= 
.
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