AP EAMCET · PHYSICS · Rotational Motion
If a solid sphere is rolling without slipping on a horizontal plane, then the ratio of its rotational and total kinetic energies is
- A \(2: 5\)
- B \(2: 7\)
- C \(4: 3\)
- D \(1: 2\)
Answer & Solution
Correct Answer
(B) \(2: 7\)
Step-by-step Solution
Detailed explanation
\(K_{rot} = \frac{1}{2} I \omega^2 = \frac{1}{2} (\frac{2}{5} m R^2) (\frac{v}{R})^2 = \frac{1}{5} m v^2\) \(K_{total} = K_{trans} + K_{rot} = \frac{1}{2} m v^2 + \frac{1}{5} m v^2 = \frac{7}{10} m v^2\)…
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