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A body of mass ‘m’ moving with a constant velocity ‘v’ strikes another body of same mass moving with same velocity but in opposite direction. The common velocity of both the bodies after collision is? A) v (B) 2v (C) 4v (D) 8v?
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A body of mass ‘m’ moving with a constant velocity ‘v’ strikes another...
Solution:
Conservation of momentum states that the total momentum of an isolated system remains constant if no external force acts on it.
Initial momentum of the system = m × v + (-m) × v = 0
Final momentum of the system = 2mv (both bodies moving in the same direction)
By applying conservation of momentum, we can write:
Initial momentum = Final momentum
0 = 2mv + Vf (where Vf is the common final velocity of both bodies)
Vf = -2v (opposite direction to the initial direction of both bodies)
Hence, the common velocity of both the bodies after collision is 2v in the opposite direction to their initial direction.
Answer: (B) 2v
Conservation of momentum states that the total momentum of an isolated system remains constant if no external force acts on it.
Initial momentum of the system = m × v + (-m) × v = 0
Final momentum of the system = 2mv (both bodies moving in the same direction)
By applying conservation of momentum, we can write:
Initial momentum = Final momentum
0 = 2mv + Vf (where Vf is the common final velocity of both bodies)
Vf = -2v (opposite direction to the initial direction of both bodies)
Hence, the common velocity of both the bodies after collision is 2v in the opposite direction to their initial direction.
Answer: (B) 2v
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A body of mass ‘m’ moving with a constant velocity ‘v’ strikes another...
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A body of mass ‘m’ moving with a constant velocity ‘v’ strikes another body of same mass moving with same velocity but in opposite direction. The common velocity of both the bodies after collision is? A) v (B) 2v (C) 4v (D) 8v?
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A body of mass ‘m’ moving with a constant velocity ‘v’ strikes another body of same mass moving with same velocity but in opposite direction. The common velocity of both the bodies after collision is? A) v (B) 2v (C) 4v (D) 8v? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A body of mass ‘m’ moving with a constant velocity ‘v’ strikes another body of same mass moving with same velocity but in opposite direction. The common velocity of both the bodies after collision is? A) v (B) 2v (C) 4v (D) 8v? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body of mass ‘m’ moving with a constant velocity ‘v’ strikes another body of same mass moving with same velocity but in opposite direction. The common velocity of both the bodies after collision is? A) v (B) 2v (C) 4v (D) 8v?.
A body of mass ‘m’ moving with a constant velocity ‘v’ strikes another body of same mass moving with same velocity but in opposite direction. The common velocity of both the bodies after collision is? A) v (B) 2v (C) 4v (D) 8v? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A body of mass ‘m’ moving with a constant velocity ‘v’ strikes another body of same mass moving with same velocity but in opposite direction. The common velocity of both the bodies after collision is? A) v (B) 2v (C) 4v (D) 8v? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body of mass ‘m’ moving with a constant velocity ‘v’ strikes another body of same mass moving with same velocity but in opposite direction. The common velocity of both the bodies after collision is? A) v (B) 2v (C) 4v (D) 8v?.
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