Question 42

A solid sphere is rolling without slipping on a horizontal plane. The ratio of the linear kinetic energy of the centre of mass of the sphere and rotational kinetic energy is :

Solid sphere rolling: KE_linear/KE_rotational.

KE_linear = ½mv². KE_rot = ½Iω² = ½(2/5)mr²(v/r)² = (1/5)mv².

Ratio = (½mv²)/((1/5)mv²) = 5/2.

The correct answer is Option 3: 5/2.

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