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A body of mass 50 kg is projected vertic...

A body of mass `50 kg` is projected vertically upward with velocity of `100 m//s`. After `5 s` this body breaks into `20 kg` and `30 kg`. If the `20 kg` piece travels upwards with `150 m//s`, then the velocity of other block will be

A

`15 m//s` downwards

B

`15 m//s` upward

C

`51 m//s` downwards

D

`50//3 m//s` downwards

Text Solution

Verified by Experts

The correct Answer is:
D
Velocity of the body after `5 s`, `v_(0) = 100 - g xx 5 = 50 m//s`
By the conservation of momentum
`50 xx 50 = 20 xx 150 + 30 V`
`v = -(50)/(3) m//s`
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