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Q.

A machine gun of mass 10 kg fires 20 g bullets at the rate of 180 bullets per minute with a speed of 100 ms-1 each. The recoil velocity of the gun is

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a

0.02 m/s

b

0.6 m/s

c

1.5 m/s

d

2.5 m/s

answer is C.

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Detailed Solution

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Conserving momentum,
180×20×10-3(100)60=10×v
So, v = 0.6 m/s
3×20×103×100=10v v=610=0.6
true sol: the gun imparts 18060×20×103(100)=6 kgm/s momentum per second.
So, the coil force is   and gun velocity keeps increasing. Question is wrong

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A machine gun of mass 10 kg fires 20 g bullets at the rate of 180 bullets per minute with a speed of 100 ms-1 each. The recoil velocity of the gun is