Am i correct???????
a ball is boucing down a flight of stairsThe coefficient of restitution is e The height of each step is d and the ball bounces one step at each bounce After each bouce 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
Please solve it
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6 Answers
eureka123
·2009-02-11 21:19:43
I think we have to get e........
Approach condition:
The ball dropped from height h+d
Conserving the energy => 1/2 mu2=mg(d+h)
=> u=√[2g(d+h)]
Separation condition
The ball rises to height h
Conserving energy again => 1/2 mv2=mgh
=>v=√[2gh]
Since floor is at rest
=> e=√[2gh] /√[2g(d+h)]
[I hope u can apply sign convention]
=>e= √h/d+h