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Question

A bullet of mass 40 g is fired from a gun of mass 10 kg. If velocity of bullet is 400 m/s, then the recoil velocity of the gun will be

A
1.6 m/s in the direction of the bullet
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B
1.6 m/s opposite to the direction of the bullet
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C
1.8 m/s in the direction of the bullet
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D
1.8 m/s opposite to the direction of the bullet
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Solution

The correct option is B 1.6 m/s opposite to the direction of the bullet
Let velocity of gun is v.
There is no external force acting, so linear momentum will conserve.
Before the firing, Linear Momentum =0
After the firing, Linear momentum =0.04×400+10×v
0.04×400+10×v=0 v=1.6m/s
Hence, 1.6m/s opposite to the direction of the bullet.

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