A machine gun fires 360 bullets per minute. Each bullet has a mass of 5 grams and travels at 600 m/s. What is the power of the gun? (Assume no loss of energy and 100% power transmission)

Category: QuestionsA machine gun fires 360 bullets per minute. Each bullet has a mass of 5 grams and travels at 600 m/s. What is the power of the gun? (Assume no loss of energy and 100% power transmission)
Editor">Editor Staff asked 1 year ago

A machine gun fires 360 bullets per minute. Each bullet has a mass of 5 grams and travels at 600 m/s. What is the power of the gun? (Assume no loss of energy and 100% power transmission)
 
(a) 300 W
 
(b) 600 W
 
(c) 900 W
 
(d) 1800 W
 
This question was posed to me in semester exam.
 
My question comes from Power in chapter Work, Energy and Power of Physics – Class 11
Select the correct answer from above options 
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1 Answers
Editor">Editor Staff answered 1 year ago

Right choice is (c) 900 W
 
Explanation: No. of bullets fired per second = 360/60 = 6
 
Power of the gun is completely transmitted to bullets.
 
Power (P) = Power of bullets in 1 second
 
 = [(1/2 x m x v^2) x 6] / 1
 
m = 5 x 10^-3 kg
 
v = 600 m/s
 
P = (1/2 x 5 x 10^-3 x 600^2 x 6) / 1
 
 = 900 W.


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