A heavy block of mass m is slowly placed on a conveyer belt moving with speed v. If coefficient of friction between block and the belt is $$\mu$$, the block will slide on the belt through distance

A

$$\frac{v}{\mu g}$$

B

$$\frac{v^2}{\sqrt{\mu g}}$$

C

$$\left(\frac{v}{\mu g}\right)^2$$

D

$$\frac{v^2}{2 \mu g}$$