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A particle is falling freely from a heig...

A particle is falling freely from a height. When it reaches 10m height from the ground its velocity is `v_(0)`.It colloids with the ground and loses 50% of its energy and rises back to height of 10 m. The velocity `v_(0)` is

A

(a) `7 m//s`

B

(b) `10 m//s`

C

(c ) `14 m//s`

D

(d) `16 m//s`

Text Solution

Verified by Experts

The correct Answer is:
(c )
At height 10 m, kinetic energy is equal to potential energy
`1/(2)m(V_(0))^(2) = mgh`
`rArr 1/(2)V_(0)^(2)= 9.8xx10`
`rArr V_(0)^(2) = 2xx9.8xx10`
`:. V_(0) = sqrt(196) = 14 m//s`
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