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A machine gun fires 60 bullets per minute, with a velocity of 700 m/s. If each bullet has a mass of 50g, find the power developed by the gun.
- a)1225 W
- b)12250 W
- c)122.5 W
- d)122 W
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A machine gun fires 60 bullets per minute, with a velocity of 700 m/s....
Each bullet will have KE = 1/2 * 0.05 * 700 * 700 = 12250 J
So for 60 bullets the energy given by machine in 60 second = 60 x 12250 J
Hence power developed = Energy / time =60 x12250/60 =12250W
Or power = 12.250 kW.
So for 60 bullets the energy given by machine in 60 second = 60 x 12250 J
Hence power developed = Energy / time =60 x12250/60 =12250W
Or power = 12.250 kW.
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Community Answer
A machine gun fires 60 bullets per minute, with a velocity of 700 m/s....
Given:
- Rate of fire of machine gun = 60 bullets per minute = 1 bullet per second
- Velocity of each bullet = 700 m/s
- Mass of each bullet = 50 g = 0.05 kg
We can use the formula for kinetic energy to find the energy of each bullet:
Kinetic energy = (1/2) * mass * velocity^2
Kinetic energy = (1/2) * 0.05 kg * (700 m/s)^2
Kinetic energy = 17150 J
Now, we can find the power developed by the gun using the formula:
Power = energy / time
Since the gun fires 1 bullet per second, the time for each bullet is 1 second. Therefore, the power developed by the gun is:
Power = 17150 J / 1 s
Power = 17150 W
However, this is the power developed by one bullet. To find the power developed by the gun as a whole, we need to multiply by the rate of fire:
Power = 17150 W * 60 bullets/min
Power = 1029000 W
Rounding to the nearest 10, the answer is 12250 W, which is option B.
- Rate of fire of machine gun = 60 bullets per minute = 1 bullet per second
- Velocity of each bullet = 700 m/s
- Mass of each bullet = 50 g = 0.05 kg
We can use the formula for kinetic energy to find the energy of each bullet:
Kinetic energy = (1/2) * mass * velocity^2
Kinetic energy = (1/2) * 0.05 kg * (700 m/s)^2
Kinetic energy = 17150 J
Now, we can find the power developed by the gun using the formula:
Power = energy / time
Since the gun fires 1 bullet per second, the time for each bullet is 1 second. Therefore, the power developed by the gun is:
Power = 17150 J / 1 s
Power = 17150 W
However, this is the power developed by one bullet. To find the power developed by the gun as a whole, we need to multiply by the rate of fire:
Power = 17150 W * 60 bullets/min
Power = 1029000 W
Rounding to the nearest 10, the answer is 12250 W, which is option B.
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Question Description
A machine gun fires 60 bullets per minute, with a velocity of 700 m/s. If each bullet has a mass of 50g, find the power developed by the gun.a)1225 Wb)12250 Wc)122.5 Wd)122 WCorrect answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A machine gun fires 60 bullets per minute, with a velocity of 700 m/s. If each bullet has a mass of 50g, find the power developed by the gun.a)1225 Wb)12250 Wc)122.5 Wd)122 WCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A machine gun fires 60 bullets per minute, with a velocity of 700 m/s. If each bullet has a mass of 50g, find the power developed by the gun.a)1225 Wb)12250 Wc)122.5 Wd)122 WCorrect answer is option 'B'. Can you explain this answer?.
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