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Body A of mass 4m moving with speed u collides with another body B of mass 2m, at rest. The collision is head on and elastic in nature. After the collision the fraction of energy lost by the colliding body A is
  • a)
    5/9
  • b)
    1/9
  • c)
    8/9
  • d)
    4/9
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Body A of mass 4m moving with speed u collides with another body B of...

Explanation:

Initial conditions:
- Body A of mass 4m moving with speed u
- Body B of mass 2m at rest

Collision:
- The collision is head-on and elastic in nature, meaning kinetic energy is conserved.

Conservation of momentum:
- Before the collision: 4m * u = 2m * v (where v is the velocity of the two bodies after the collision)
- After solving, we get v = 2u

Conservation of kinetic energy:
- Initial kinetic energy = 1/2 * 4m * u^2
- Final kinetic energy = 1/2 * 4m * v^2 + 1/2 * 2m * v^2 = 1/2 * 4m * (2u)^2 + 1/2 * 2m * (2u)^2 = 18m * u^2

Fraction of energy lost:
- Energy lost = Initial kinetic energy - Final kinetic energy = 8m * u^2
- Fraction of energy lost = Energy lost / Initial kinetic energy = 8m * u^2 / (1/2 * 4m * u^2) = 8/2 = 8/9

Therefore, the correct answer is option 'c) 8/9'.
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Community Answer
Body A of mass 4m moving with speed u collides with another body B of...
Fractional loss of KE of colliding body,
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Body A of mass 4m moving with speed u collides with another body B of mass 2m, at rest. The collision is head on and elastic in nature. After the collision the fraction of energy lost by the colliding body A isa)5/9b)1/9c)8/9d)4/9Correct answer is option 'C'. Can you explain this answer?
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Body A of mass 4m moving with speed u collides with another body B of mass 2m, at rest. The collision is head on and elastic in nature. After the collision the fraction of energy lost by the colliding body A isa)5/9b)1/9c)8/9d)4/9Correct answer is option 'C'. 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 Body A of mass 4m moving with speed u collides with another body B of mass 2m, at rest. The collision is head on and elastic in nature. After the collision the fraction of energy lost by the colliding body A isa)5/9b)1/9c)8/9d)4/9Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Body A of mass 4m moving with speed u collides with another body B of mass 2m, at rest. The collision is head on and elastic in nature. After the collision the fraction of energy lost by the colliding body A isa)5/9b)1/9c)8/9d)4/9Correct answer is option 'C'. Can you explain this answer?.
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