An object of mass \( M \) is gently placed on a horizontal conveyor belt, which is moving with u...

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An object of mass \( M \) is gently placed on a horizontal conveyor belt, which is moving with uniform
\( \mathrm{P} \) velocity \( v_{0} \) as shown in the figure. The coefficient of static friction is \( \mu_{\mathrm{s}} \), the coefficient of kinetic

W friction is \( \mu_{\mathrm{k}} \), and the acceleration of gravity is g. Initially the object slips for a while but finally moves without slipping together with the belt.
How far the conveyor belt moves while the object is slipping?
(A) \( \frac{\mathrm{v}_{\mathrm{o}}^{2}}{\mu_{\mathrm{k}} \mathrm{g}} \)
(B) \( \frac{\mathrm{v}_{0}^{2}}{2 \mu_{\mathrm{k}} \mathrm{g}} \)
(C) \( \frac{\mathrm{v}_{0}^{2}}{\mu_{\mathrm{s}} \mathrm{g}} \)
(D) \( \frac{\mathrm{v}_{o}^{2}}{2 \mu_{\mathrm{s}} \mathrm{g}} \)
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