Question

# A machine gun fires 360 bullets per minute. Each bullet moves with a  velocity of 600 ms$$^{-1}$$. If the power of the gun is 5.4 kw, the mass of each bullet is,

A
5 kg
B
0.5 kg
C
0.05 kg
D
5 gm

Solution

## The correct option is D 5 gmGiven,Number of bullets, $$n=360\,nos.$$Mass of bullet, $$m$$Power, $$=5400watt$$Kinetic energy of 360 bullets, $$K.E=n\times \dfrac{1}{2}m{{v}^{2}}=360\times \dfrac{1}{2}\times m\times {{600}^{2}}=648\times {{10}^{5}}m\,\,J$$$$Power=\dfrac{kineticenergy}{time}$$$$5400=\dfrac{648\times {{10}^{5}}m}{60}$$$$m=5\times {{10}^{-3\,}}kg\,=\,5\,gram\,$$Hence, weight of each bullet is $$5\,gram$$Physics

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