Question

A 50 g bullet is fired from a 10 kg gun with a speed of 500 m/s.What is the speed of recoil of the gun?

Answer 1

QUESTION ----- A 50 g bullet is fired from a 10 kg gun with a speed of 500 m/s.What is the speed of recoil of the gun?

ANSWER
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Momentum = Mass × Velocity

Momentum of Bullet = 50/1000 × 500

Momentum of Bullet = 25 kgm/s

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Let the velocity with which gun moves after recoil be x

Momentum = 10 × x

Momentum = 10x kgm/s

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According to Law of Conservation of Momentum,

Initial Momentum = Final Momentum

=> 25 kgm/s = 10x kgm/s

=> x = 25 / 10

=> x = 2.5 m/sec

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ANSWER :
SPEED OF RECOIL = 2.5 m/sec

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