The machine gun fires 240 bullets per minute. | vedclass

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Question

(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 $m = 10 \ g = 10 	imes 10^{-3} \ kg = 0.01 \ kg$.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 $kW$, $P = \frac{7200}{1000} \ kW = 7.2 \ kW$.

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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