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Power : Rate Of Doing Work

A machine gun can fire 150 bullets per minute. If the mass of

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Solving time: 3 mins

A machine gun can fire 150 bullets per minute. If the mass of the bullet is $20 g$ and its velocity is $50 m s^{- 1}$ , then the rate of work done by the gun is

Name: Video solution 1: A machine gun can fire 150 bullets per minute. If the mass of the bullet is 20 g and its velocity is 50 m s−1, then the rate of work done by the gun is
Uploaded: 2023-02-05T15:00:19.000Z
Duration: 2 min
Description: Video solution 1: A machine gun can fire 150 bullets per minute. If the mass of the bullet is 20 g and its velocity is 50 m s−1, then the rate of work done by the gun is

\frac{15}{7} W

70 W

62.5 W

\frac{50}{3} W

Views: 5,175 students

Updated on: Feb 5, 2023

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A machine gun can fire 150 bullets per minute. If the mass of the bullet is

20 g

and its velocity is

50 m s^{- 1}

, then the rate of work done by the gun is

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

\frac{n}{t} = 150

bullets/minute

= \frac{150}{60}

bullets

/

seconds

\frac{n}{t} = \frac{5}{2}

bullets

/ s

Mass of the bullet

(m_{b}) = 20

g; total mass per minute

= 150 \times 20 = 3, 000 g / min

m = 3 kg / min

Rate of work done

=

u = 50 m s^{- 1}; v = 0 m s^{- 1};

Power = rate of work done

= \frac{W or k d o n e}{t im e}

= \frac{\frac{1}{2} m ( v ^{2} - u ^{2} )}{t}

= \frac{- m u ^{2}}{2 t}

P = - \frac{3 \times 50 \times 50}{2 \times 60}

= 62.5 W

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Question Text	A machine gun can fire 150 bullets per minute. If the mass of the bullet is $20 g$ and its velocity is $50 m s^{- 1}$ , then the rate of work done by the gun is
Updated On	Feb 5, 2023
Topic	Work and Energy
Subject	Science
Class	Class 9
Answer Type	Text solution:1 Video solution: 1
Upvotes	220
Avg. Video Duration	2 min

A machine gun can fire 150 bullets per minute. If the mass of the bullet is $20 g$ and its velocity is $50 m s^{- 1}$ , then the rate of work done by the gun is

Text solutionVerified

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A machine gun can fire 150 bullets per minute. If the mass of the bullet is 20 g and its velocity is 50 m s−1, then the rate of work done by the gun is

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A machine gun can fire 150 bullets per minute. If the mass of the bullet is $20 g$ and its velocity is $50 m s^{- 1}$ , then the rate of work done by the gun is