Asked in UHS MDCAT 2009 2009Moderate

In elastic collision, when a massive body collides with light body at conditions m1 >> m2 and v2 = 0 ms-1, then the change in velocity will be written as:

Correct answer: C. v1' ≈ v1 ; v2' ≈ 2v1

  • A. v1' ≈ −v1 ; v2' ≈ v1
  • B. v1' ≈ v1 ; v2' ≈ 0
  • C. v1' ≈ v1 ; v2' ≈ 2v1
  • D. v1' ≈ −v1 ; v2' ≈ 0

Explanation

Explanation:V1' = (m1 - 0/m1 + 0) v1 + (2(m2) (0)/0 +m2) V1' = (m1 / m2) v1 + 0V1' = v1 + 0V1' = v1V2' = (2m1v1 / m1) + (0 - m1 / m1 + 0) (0)V2' = 2v1Hence, v1' = v1 and v2' = 2v1

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About Collisions

Collisions involve the conservation of linear momentum when bodies interact for a short time. The topic covers impulse, elastic and inelastic collisions, kinetic energy changes, and the coefficient of restitution, with calculations usually based on one dimensional motion. Momentum remains conserved in isolated collisions, but kinetic energy is conserved only in elastic collisions.

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