Question

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

Answer 1

Momentum is conserved.

Mass of gun x recoil velocity = mass of bullet x speed of bullet

4 x v = 0.01 x 400

v= 1 m/s

Answer 2

Answer:

Recoil velocity of the gun is 1 m/s.

Explanation:

Given;-

         Mass of bullet, m = 10 g

      Velocity of bullet, v = 400 m/s

         Mass of gun, M = 4 kg

Let the recoil velocity of the gun be 'Vg'.

We know by formula that;-

        Recoil Velocity, Vg = mv/M

So, putting the given values in the formula, we get;-

                Vg = 10 × 400/ 1000 × 4

                Vg = 4000/ 4000

                Vg = 1 m/s

Therefore, the recoil velocity of the gun is 1 m/s.

Hope it helps! ;-))