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Q. If a solid sphere is rolling the ratio of its rotational energy to the total kinetic energy is given by:

NTA AbhyasNTA Abhyas 2020

Solution:

$\frac{K_{R}}{K_{T o t a l}}=\frac{K^{2} / R^{2}}{1 + \frac{K^{2}}{R^{2}}}=\frac{2}{7}$
( $\frac{K^{2}}{R^{2}}=\frac{2}{5}$ for solid sphere )