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Q.

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

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a

550 N

b

50 N

c

250 N

d

250 dyne

answer is B.

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Detailed Solution

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

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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