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Bullets of 0.03Kg mass each hit a plate at the rate of 200 bullets per second with a velocity of 50 ms-1 and reflect back with a velocity of 30 ms-1. The average force acting on the plate in newton is
  • a)
    120
  • b)
    180
  • c)
    300
  • d)
    480
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Bullets of 0.03Kg mass each hit a plate at the rate of 200 bullets per...
Given data:
Mass of each bullet, m = 0.03 kg
Rate of hitting the plate, n = 200 bullets per second
Initial velocity of bullets, u = 50 m/s
Final velocity of bullets, v = -30 m/s (since the bullets reflect back)

We need to find the average force acting on the plate.

Formula used:
The average force (F) on the plate can be calculated using the formula:
F = (change in momentum) / time taken
where, change in momentum = final momentum - initial momentum

Calculation:
1. Initial momentum of one bullet = m x u = 0.03 kg x 50 m/s = 1.5 kg m/s
2. Final momentum of one bullet = m x v = 0.03 kg x (-30 m/s) = -0.9 kg m/s (since the direction is opposite to the initial momentum)
3. Change in momentum of one bullet = final momentum - initial momentum = -2.4 kg m/s
4. Change in momentum of n bullets per second = n x change in momentum = 200 x (-2.4) = -480 kg m/s
5. Time taken for n bullets to hit the plate = 1 second (since n=200 bullets per second)
6. Average force on the plate = (change in momentum) / time taken = (-480) / 1 = -480 N (since the direction is opposite to the initial momentum)

Therefore, the average force acting on the plate is 480 N (Option D).
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Bullets of 0.03Kg mass each hit a plate at the rate of 200 bullets per...
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Bullets of 0.03Kg mass each hit a plate at the rate of 200 bullets per second with a velocity of 50 ms-1 and reflect back with a velocity of 30 ms-1. The average force acting on the plate in newton isa) 120 b) 180 c) 300 d) 480 Correct answer is option 'D'. Can you explain this answer?
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Bullets of 0.03Kg mass each hit a plate at the rate of 200 bullets per second with a velocity of 50 ms-1 and reflect back with a velocity of 30 ms-1. The average force acting on the plate in newton isa) 120 b) 180 c) 300 d) 480 Correct answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Bullets of 0.03Kg mass each hit a plate at the rate of 200 bullets per second with a velocity of 50 ms-1 and reflect back with a velocity of 30 ms-1. The average force acting on the plate in newton isa) 120 b) 180 c) 300 d) 480 Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Bullets of 0.03Kg mass each hit a plate at the rate of 200 bullets per second with a velocity of 50 ms-1 and reflect back with a velocity of 30 ms-1. The average force acting on the plate in newton isa) 120 b) 180 c) 300 d) 480 Correct answer is option 'D'. Can you explain this answer?.
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