A solid sphere of mass \( m \) and radius \( R \) is gently placed on a conveyer belt moving wit...

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A solid sphere of mass \( m \) and radius \( R \) is gently placed on a conveyer belt moving with constant velocity \( v_{0} \). If coefficient of friction between belt and sphere is \( 2 / 7 \), the distance traveled by the centre of the sphere before it starts pure rolling is
(a) \( \frac{v_{0}^{2}}{7 g} \)
(b) \( \frac{2 v_{0}^{2}}{49 g} \)
(c) \( \frac{2 v_{0}^{2}}{5 g} \)
(d) \( \frac{2 v_{0}^{2}}{7 g} \)
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