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Question

From a rifle of mass 4 kg, a bullet of mass 50 g is fired with an initial velocity of 35 m sāˆ’1. Calculate the initial recoil velocity of the rifle.

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Solution

Mass of the rifle,

Mass of the bullet,

Recoil velocity of the rifle =

Bullet is fired with an initial velocity,

Initially, the rifle is at rest.

Thus, its initial velocity, v = 0

Total initial momentum of the rifle and bullet system

Total momentum of the rifle and bullet system after firing:

According to the law of conservation of momentum:

Total momentum after the firing = Total momentum before the firing

The negative sign indicates that the rifle recoils backwards with a velocity of 0.4375 m/s.


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