Question

A Bullet of mass 20 gram is fired with velocity 150 ms from A pistol of mass 2 kg what is the recoil velocity of pistol

Answer 1

Newton's third law says that every action has an equal and opposite reaction. Using this, we can say that momentum of the bullet will be equal to the momentum of the gun.

Mass of the gun=2kg

Mass of the bullet=0.02kg

Velocity of the bullet= 150m/s

Let the recoil velocity of the gun=v

Hence,

Applying momentum conservation

Mass of the gun×recoil velocity=mass of the bullet ×velocity of the bullet

So,the recoil velocity will be 1.5m/s.

EDIT : I MISSED TO WRITE THE DIRECTION OF RECOIL . IT WILL MOVE IN THE DIRECTION OPPOSITE TO THE DIRECTION OF MOTION OF THE BULLET.

Answer 2

recoil velocity=V

Explanation: mass of pistol=M=2kg

mass of bullet=m=20/1000 kg

velocity of bullet =150m/s

MV=mv

2*V=20/1000*150

20V=30kg m/s

V=30/20

=1.5m/s

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