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Question 30325
JEE Physics · Medium

Rigid Body Dynamics: Rolling — Total KE Fraction MCQ

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Rolling — Total KE FractionMediumQuestion 30325

Question

For a solid sphere rolling without slipping, the fraction of total KE that is rotational is:
  1. A
    2/7
    Correct
  2. B
    2/5
  3. C
    5/7
  4. D
    1/2

Correct answer

2/7

Explanation

Rotational KE = ½Iω² = ½(2mR²/5)(v/R)² = mv²/5. Total KE = ½mv² + mv²/5 = 7mv²/10. Fraction = (mv²/5)/(7mv²/10) = 2/7.

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