Question

A 60g bullet fired from a 5kg gun leaves with a speed of 500m/s. Find the velocity with which the gun recoils.

Answer 1

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Given,

Mass of bullet
= 60g
=60/1000
= 0.06kg

Speed of the bullet = 500m/s

Mass of the gun= 5kg

According to the law of conservation of momentum
Momentum of bullet = Momentum of gun

Mass of bullet × velocity of bullet = Mass of the gun × Recoil of gun

0.06 × 500 = 5 × v
30 = 5v
v=30/5
v=6

So, the recoil speed of the gun is 6m/s

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Answer 2

from conservation law of momentum
V=-mv/M
=-60×500/5
=-6000m/s
I hope this will helps you