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A body from height h is dropped, if the ...

A body from height h is dropped, if the coefficient of restitution is e, then calcualte the height achieved after one bounce.

A

`h_(1) = e^(4)h`

B

`h=eh_(1)`

C

`h_(1)=he^(2)`

D

`h = h_(1)//e`

Text Solution

Verified by Experts

The correct Answer is:
C
When a body falls from height h, it strikes the ground with a velocity `v = sqrt(2gh)`. Let it rebounced with a velocity v and rise to a height `h_(1)`.
`v = sqrt(2gh_(1) rArr e=v/u = (sqrt(h_(1)/h)`
Clearly, `h_(1) = e^(2)h`
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Knowledge Check

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