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A shell of mass 200g is fired by a gun o...

A shell of mass 200g is fired by a gun of mass 100kg. If the muzzle speed of the shell is `80ms^(-1)`, then the recoil speed of the gun is

A

`−16 cm // s`

B

`8 m//s`

C

`4 cm//s`

D

`16 m//s`

Text Solution

Verified by Experts

The correct Answer is:
A
`M_(G)v_(G) + m_(m)v_(m) = 0`
`M_(g) v_(g) = - m_(m)v_(m)`
`rArr v_(G) = (-0.2 xx 80)/(100) = - 16 xx 10^(-2) m//s`
` = - 16 cm //s`
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