Question

a gun fires a bullet of mass 25 g with velocity 200 m/s.if the mass of gun is 5 kg,then what is the recoil velocity of gun.​

Answer 1

Given:

A gun fires a bullet of mass 25 g with velocity 200 m/s, the mass of gun is 5 kg.

To find:

Recoil velocity of gun ?

Calculation:

• Initial velocity of both gun and bullet is 0 m/s. Let final velocity of gun be v_(2).

Applying CONSERVATION OF LINEAR MOMENTUM principle:

$\sf m_{1}u_{1} + m_{2}u_{2} = m_{1}v_{1} + m_{2}v_{2}$

$\sf \implies m_{1}(0) + m_{2}(0)=( \frac{25}{1000} \times 200)+ 5v_{2}$

$\sf \implies 0=( \frac{25}{1000} \times 200)+ 5v_{2}$

$\sf \implies 5v_{2} = - 5$

$\sf \implies v_{2} = - 1 \: m {s}^{ - 1}$

So, recoil velocity of gun be 1 m/s