Question

A bullet of mass 10g is fired with a velocity of 400m/s from a gun of mass 4kg. What is the recoil velocity of the gun​

Answer 1

Answer:

mass of bullet=10g=0.01kg

v1=400m/s

mass of gun=4kg

let recoil velocity of gun=v

so, 0.01×400=4×v

v=1m/s

Answer 2

Answer:

The recoil velocity of the gun​ is 1 m/s.

Explanation:

Given that,

Mass of bullet = 10 g

Velocity = 400 m/s

Mass of gun = 4 kg

We need to calculate the recoil velocity

Using conservation of momentum

$m_{b}v_{b}=m_{g}v$

Where, $m_{b}$ =mass of bullet

$m_{g}$ =mass of gun

$v_{b}$ =speed of bullet

Put the value into the formula

$10\times10^{-3}\times400=4\times v$

$v=\dfrac{10\times10^{-3}\times400}{4}$

$v=1\ m/s$

Hence, The recoil velocity of the gun​ is 1 m/s.