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Rigid Body Dynamics: KE — Rolling Comparison MCQ

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KE — Rolling ComparisonMediumQuestion 30339

Question

A solid sphere and a hollow sphere of same mass and speed roll without slipping. Which has greater total KE?
  1. A
    Solid sphere
  2. B
    Hollow sphere
    Correct
  3. C
    Same total KE
  4. D
    Depends on radius

Correct answer

Hollow sphere

Explanation

Solid sphere: KE = (7/10)mv². Hollow sphere: KE = (5/6)mv². Since 5/6 > 7/10, the hollow sphere has greater total KE for the same translational speed v.

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