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A machine gun is mounted on a flat rail car. The gun is firing bullets at the rate of 10 bullets per second each of mass 10 g. The bullets come out with velocity 500 ms^–1 from the rear. Calculate the acceleration of the car at the instant when its mass is 200 kg. Also calculate the force at that instant.

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0.25 m/sec²; 100 N

0.5 m/sec²; 50 N

0.25 m/sec²; 50 N

0.5 m/sec²; 100 N

answer is C.

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Detailed Solution

Here the reacting force F = velocity × mass of bullets fired per second.
∴F = 500 × $\frac{10 * 10}{1000}$ =50 N
Acceleration, a= $\frac{F}{m}$ = $\frac{50}{200}$ =0.25 m/s²

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