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Question: From an automatic gun a man fires 360 bullet per minute with a speed of 360 km/hour. If each weighs ...

From an automatic gun a man fires 360 bullet per minute with a speed of 360 km/hour. If each weighs 20 g, the power of the gun is

A

600W600W

B

300W300W

C

150W150W

D

75W75W

Answer

600W600W

Explanation

Solution

Power of gun = Total K.E. of fired bullet  time = \frac { \text { Total K.E. of fired bullet } } { \text { time } }

=n×12mv2t=36060×12×2×102×(100)2=600 W= \frac { n \times \frac { 1 } { 2 } m v ^ { 2 } } { t } = \frac { 360 } { 60 } \times \frac { 1 } { 2 } \times 2 \times 10 ^ { - 2 } \times ( 100 ) ^ { 2 } = 600 \mathrm {~W}