A machine gun fires 540 bullets per minute each of mass 150gm with a velocity 720 Kmph. Find the power of the gun.

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Solution

Given,

Number of bullets, $n = 540 n o s .$

Mass of bullet, $m = 150 g r a m = 0.15 k g$

Velocity, $v = 750 k m p h = 200 m s^{- 1}$

Kinetic energy of $540$ bullets, $K . E = n \times \frac{1}{2} m v^{2} = 540 \times \frac{1}{2} \times 0.15 \times 200^{2} = 1620 k J$

$P o w e r = \frac{k i n e t i c e n e r g y}{t i m e} = \frac{1620}{60} = 27 k W$

Hence, power of machine gun is $27 k W$

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