A bullet mass 10gm is fired from a gun of mass 1 kg . If the recoil velocity is 5 `m//s`, the velocity of the muzzle is

Options

A. 500m/sec
B. 100m/sec
C. 50m/sec
D. None of The Above

Answer

A

Explanation

Conservation of linear momentum gives
`m_(1)v_(1) + m_(2)v_(2) = 0 rArr m_(1)v_(1) = -m_(2)v_(2)`
`rArr v-(1) = -(m_(2)v_(2))/(m_(1) = 500 m//s`
Given, `m_(1) = 10 g = (10/1000) kg`
`m_(2) = 1kg` and `v_(2) = -5 m//s`
`therefore` Velocity of muzzle,
`v-(1) = (+1 xx 5)/(10//1000)= 500 m//s`