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 = 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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