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A ball is dropped from a height h on to ...

A ball is dropped from a height h on to a floor . If the cofficient of restitution is e, calculate the height the ball first rebounds ?

A

`e^2h`

B

`eh^2`

C

`e^4h`

D

`h/e^4`

Text Solution

Verified by Experts

The correct Answer is:
C
A ball falling from height h reaches the floor with velocity `v=sqrt(2gh)`
By definition
`e=("velocity of separation")/("velocity of approach")`
`therefore` Rebound velocity =`esqrt(2gh)`
`therefore` Rebound height =`e^2 h`
After two rebounds, height =`e^4h`
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