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Q.

A machine gun is mounted on a 2 quintal vehicle on a horizontal smooth road. (Friction negligible). The gun fires 10 bullets per second with a velocity of 500 no/s. If the mass of each bullet be 10 g, what is the acceleration produced in the vehicle?

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a

50 m/s2

b

25 cm/s2

c

50 cm/s2

d

25 m/s2

answer is E.

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Detailed Solution

Momentum carried by each bullet = m v = (0.010 x 500) kg.m/s = 5 kg.m/s
Now force = chan8e in momentum in 1s = 5 x 10N = 50N
 Acceleration =(20/200)m/s2 =25cm/s2.

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A machine gun is mounted on a 2 quintal vehicle on a horizontal smooth road. (Friction negligible). The gun fires 10 bullets per second with a velocity of 500 no/s. If the mass of each bullet be 10 g, what is the acceleration produced in the vehicle?