Question

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

• A. $0.05m/s$
• B. $5m/s$
• C. $50m/s$
• D. $500m/s$

Answer 1

The correct option is D $500m/s$

Given,

$m=10g=0.01kg$ mass of the bullet

$M=1kg$, mass of the gun

$V=-5m/s$ recoil velocity

$v=?$ velocity of muzzle

By the conservation of linear momentum,

$0=mv+M{v}^{\prime }$

$0=0.01\times v-1\times 5$

$v=\frac{5}{0.01}=500m/s$

The correct option is D.