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Q.

A machine gun fires 360 bullets per minute. Each bullet moves with a velocity of 60 $m s^{- 1}$ . If the power of the gun is 5.4 kw, the mass of each bullet is,

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a

0.05 kg

b

5 kg

c

0.5 gm

d

0.5 kg

answer is D.

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Detailed Solution

$P = \frac{\frac{1}{2} n m V^{2}}{t}$

$5.4 \times 10^{3} = \frac{\frac{1}{2} \times m \times {(60)}^{2} \times 360}{60}$

$\Rightarrow m = 0.5 k g$

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A machine gun fires 360 bullets per minute. Each bullet moves with a velocity of 60 ms−1 . If the power of the gun is 5.4 kw, the mass of each bullet is,