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. 30km/min
B. 60 km/min
C. 30m/s
D. 500m/s

Answer

D

Explanation

(d) Conservation of linear momentum gives
`m_(1)v_(1)=-m_(2)v_(2) implies v_(1)=(-m_(2)v_(2))/(m_(1))`
Given, `m_(1)=10 kg= ((10)/(1000)) kg`
`m_(2)=1 kg " and " v_(2)=-5 m//s`
`therefore` Velocity of muzzle,
`v_(1)=(+1xx5)/(10//1000)=500 m//s`