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A machine gun is mounted on a 2000 kg car on a horizontal frictionless surface. At some instant the gun fires bullets of mass 10 gm with a velocity of 500 m/sec with respect to the car. The number of bullets fired per second is ten. The average thrust on the system is

a
550 N
b
50 N
c
250 N
d
250 dyne

detailed solution

Correct option is B

u = velocity of bullet = 500 m/sdmdt= Mass thrown per second by the machine gun= Mass of bullet ×Number of bullet fired per second= 10 g × 10 bullet/sec = 100 g/sec = 0.1 kg/secThrust = u dmdt = 500 × 0.1 = 50 N

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