A sphere of mass \( M \) and radius \( R \) is moving on a rough fixed surface, having coefficie...

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A sphere of mass \( M \) and radius \( R \) is moving on a rough fixed surface, having coefficient of friction \( \mu \) as shown in figure. It will attain a minimum linear velocity after time \( \left(v_{0}\omega_{0} R\right) \)
\( \mathrm{P} \)
W
(1) \( v_{0} / \mu g \)
(2) \( \omega_{0} R / \mu g \)
(3) \( 2\left(v_{0}-\omega_{0} R\right) / 5 \mu g \)
(4) \( 2\left(v_{0}-\omega_{0} R\right) / 7 \mu g \)
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