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Question

A gun of mass 5 kg a 50 g bullet with a velocity of 200 m/s. The recoil velocity of the gun is:

A
2 m/s
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B
20 m/s
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C
0.2 m/s
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D
zero
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Solution

The correct option is C 2 m/s
Let mass and velocity of ball be m1=0.05kg and velocity v1=200m/s.
Let mass of gun be m2=5kg and recoil velocity be v2
Use conservation of momentum.
m1v1=m2v2
(0.05)×(200)=(5)v2
V2=2m/s.
Hence,
option A is correct answer.

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