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Q.

A machine gun fires 300 bullets per minute each with a velocity of 500 ms-1. If the mass of each bullet is 4 g, the power of the machine gun is

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a

2.5 kW

b

3 kW

c

3.6 kW

d

5.4 kW

answer is D.

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Detailed Solution

Number of bullets, n=300

mass of bullet, m=4 g= 0.004 kg.

kinetic energy produced per second will be the power of the machine gun.

 K. E=n×12mv2=300×12×0.004×5002=150000J Power = kinetic energy  time =15000060=2500 watt 

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A machine gun fires 300 bullets per minute each with a velocity of 500 ms-1. If the mass of each bullet is 4 g, the power of the machine gun is