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

Options

A. `−16 cm // s`
B. `8 m//s`
C. `4 cm//s`
D. `16 m//s`

Answer

A

Explanation

`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`