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A machine gun fires n bullets per second with a speed u and mass of each bullet is m . If bullets hit a wall and rebounds with same speed, then force acting on the wall is (a) nmu (b)2nmu (c)4nmu (d) nmu/2?
Most Upvoted Answer
A machine gun fires n bullets per second with a speed u and mass of ea...
Analysis:
To solve this problem, we need to consider the momentum change of the bullets when they hit the wall and rebound. According to Newton's third law of motion, the force exerted on the wall is equal in magnitude and opposite in direction to the force exerted on the bullets.
1. Momentum change:
The momentum change of each bullet can be calculated using the equation:
Δp = m * (v - u)
where m is the mass of each bullet, v is the final velocity of the bullet after rebounding, and u is the initial velocity of the bullet before hitting the wall.
2. Time of impact:
The time of impact can be calculated as the inverse of the firing rate of the machine gun:
t = 1/n
where n is the number of bullets fired per second.
3. Force on the wall:
The force exerted on the wall can be calculated using the equation:
F = Δp / t
Substituting the value of Δp and t from the above equations, we get:
F = m * (v - u) / (1/n)
Simplifying the equation, we get:
F = n * m * (v - u)
Conclusion:
From the equation derived for the force on the wall, we can see that the force is directly proportional to the number of bullets fired per second (n), the mass of each bullet (m), and the difference in velocity before and after rebounding (v - u). Therefore, the correct answer is (a) nmu, as it satisfies the equation and represents the force acting on the wall.
To solve this problem, we need to consider the momentum change of the bullets when they hit the wall and rebound. According to Newton's third law of motion, the force exerted on the wall is equal in magnitude and opposite in direction to the force exerted on the bullets.
1. Momentum change:
The momentum change of each bullet can be calculated using the equation:
Δp = m * (v - u)
where m is the mass of each bullet, v is the final velocity of the bullet after rebounding, and u is the initial velocity of the bullet before hitting the wall.
2. Time of impact:
The time of impact can be calculated as the inverse of the firing rate of the machine gun:
t = 1/n
where n is the number of bullets fired per second.
3. Force on the wall:
The force exerted on the wall can be calculated using the equation:
F = Δp / t
Substituting the value of Δp and t from the above equations, we get:
F = m * (v - u) / (1/n)
Simplifying the equation, we get:
F = n * m * (v - u)
Conclusion:
From the equation derived for the force on the wall, we can see that the force is directly proportional to the number of bullets fired per second (n), the mass of each bullet (m), and the difference in velocity before and after rebounding (v - u). Therefore, the correct answer is (a) nmu, as it satisfies the equation and represents the force acting on the wall.
Community Answer
A machine gun fires n bullets per second with a speed u and mass of ea...
(b)2nmu
total force applied on wall is 2×nmu because the collision is elastic...
total force applied on wall is 2×nmu because the collision is elastic...
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A machine gun fires n bullets per second with a speed u and mass of each bullet is m . If bullets hit a wall and rebounds with same speed, then force acting on the wall is (a) nmu (b)2nmu (c)4nmu (d) nmu/2?
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A machine gun fires n bullets per second with a speed u and mass of each bullet is m . If bullets hit a wall and rebounds with same speed, then force acting on the wall is (a) nmu (b)2nmu (c)4nmu (d) nmu/2? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A machine gun fires n bullets per second with a speed u and mass of each bullet is m . If bullets hit a wall and rebounds with same speed, then force acting on the wall is (a) nmu (b)2nmu (c)4nmu (d) nmu/2? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A machine gun fires n bullets per second with a speed u and mass of each bullet is m . If bullets hit a wall and rebounds with same speed, then force acting on the wall is (a) nmu (b)2nmu (c)4nmu (d) nmu/2?.
A machine gun fires n bullets per second with a speed u and mass of each bullet is m . If bullets hit a wall and rebounds with same speed, then force acting on the wall is (a) nmu (b)2nmu (c)4nmu (d) nmu/2? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A machine gun fires n bullets per second with a speed u and mass of each bullet is m . If bullets hit a wall and rebounds with same speed, then force acting on the wall is (a) nmu (b)2nmu (c)4nmu (d) nmu/2? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A machine gun fires n bullets per second with a speed u and mass of each bullet is m . If bullets hit a wall and rebounds with same speed, then force acting on the wall is (a) nmu (b)2nmu (c)4nmu (d) nmu/2?.
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