The machine gun fires 240 bullets per minute. | vedclass

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(D) The power of the gun is the rate at which kinetic energy is imparted to the bullets.Number of bullets per second,$n = \frac{240}{60} = 4 ~s^{-1}$.

Vedclass · Accepted Answer

$7.2$

Vedclass · Answer

(D) The power of the gun is the rate at which kinetic energy is imparted to the bullets.Number of bullets per second,$n = \frac{240}{60} = 4 ~s^{-1}$.Mass of each bullet,$m = 10 ~g = 0.01 ~kg$.Velocity of each bullet,$v = 600 ~ms^{-1}$.Kinetic energy of one bullet,$K = \frac{1}{2}mv^2 = \frac{1}{2} 	imes 0.01 	imes (600)^2 = 0.005 	imes 360000 = 1800 ~J$.Power,$P = n 	imes K = 4 	imes 1800 = 7200 ~W$.Converting to $kW$,$P = \frac{7200}{1000} = 7.2 ~kW$.

The machine gun fires $240$ bullets per minute. If the mass of each bullet is $10 ~g$ and the velocity of the bullets is $600 ~ms^{-1}$,the power (in $kW$) of the gun is

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