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Question 30533
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Center of Mass, Momentum and Collision: Head-on Elastic — Formula MCQ

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Head-on Elastic — FormulaHardQuestion 30533

Question

Mass m₁ moving at u₁ collides elastically with m₂ at rest. Final velocity of m₁ is:
  1. A
    2m₂u₁/(m₁+m₂)
  2. B
    (m₁−m₂)u₁/(m₁+m₂)
    Correct
  3. C
    (m₁+m₂)u₁/(m₁−m₂)
  4. D
    m₁u₁/(m₁+m₂)

Correct answer

(m₁−m₂)u₁/(m₁+m₂)

Explanation

Standard result for 1D elastic collision: v₁ = (m₁−m₂)u₁/(m₁+m₂). v₂ = 2m₁u₁/(m₁+m₂).

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