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Question

A gun fires a bullet of mass 50g with a velocity of 30msec-1. Because of this the gun is pushed back with a velocity of 1msec-1 . The mass of the gun is


A

15kg

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B

30kg

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C

1.5kg

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D

20kg

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Solution

The correct option is C

1.5kg


Explanation for the correct option:

Step 1: Given data:

Mass of bullet, mb=50g

Velocity of bullet, vb=30msec1

Recoil velocity of gun, vg=1msec1

Step 2:Finding the mass of the gun:

Using principal of conservation of momentum

mgvg=mbvbmg=mbvbvgmg=50x10-3x301mg=1.5kg

Hence, option C is correct.


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