A gun fires a bullet of mass `50 g` with a velociy of `30 m//s`. Due to this, the gun is pushed back with a velocity of `1 m//s`, then the mass of the gun is :

Options

A. `1.5 kg`
B. `5.5 kg`
C. `0.5 kg`
D. `3.5 kg`

Answer

A

Explanation

Momentum remains conserved in the process.
If no external force acts upon a system of two(or more) bodies then the toatal momentum of the system remains constant.
Hence, momentum before collision= momentum after collision
`m_(1)u_(1)=m_(2)v_(2)`
Given, `u_(1)=1 m//s,m_(2)=0.05 kg,v_(2)=0.05 kg,v_(2)= 30m//s`
`implies m_(1)xx1= 0.05xx30`
`implies m_(1)= 1.5 kg`