A small ball of mass $m$ starts at a point $A$ with speed $v_o$ and moves along a frictionless track $AB$ as shown. The track BC has coefficient of friction $\mu$. The ball comes to stop at C after travelling a distance $L$ which is: (1) $\frac{2\mathrm{~h}}{\mu} + \frac{\mathrm{v}_\mathrm{o}^2}{2\mu\mathrm{~g}}$ (2) $\frac{\mathrm{h}}{\mu} + \frac{\mathrm{v}_0^2}{2\mu\mathrm{~g}}$ (3) $\frac{\mathrm{h}}{2\mu} + \frac{\mathrm{v}_\mathrm{o}^2}{\mu\mathrm{g}}$ (4) $\frac{\mathrm{h}}{2\mu} + \frac{\mathrm{v}_\mathrm{o}^2}{2\mu\mathrm{g}}$
A small ball of mass $m$ starts at a point $A$ with speed $v_o$ and moves along a frictionless track $AB$ as shown. The track BC has coefficient of friction $\mu$. The ball comes to stop at C after travelling a distance $L$ which is:\\
(1) $\frac{2\mathrm{~h}}{\mu} + \frac{\mathrm{v}_\mathrm{o}^2}{2\mu\mathrm{~g}}$\\
(2) $\frac{\mathrm{h}}{\mu} + \frac{\mathrm{v}_0^2}{2\mu\mathrm{~g}}$\\
(3) $\frac{\mathrm{h}}{2\mu} + \frac{\mathrm{v}_\mathrm{o}^2}{\mu\mathrm{g}}$\\
(4) $\frac{\mathrm{h}}{2\mu} + \frac{\mathrm{v}_\mathrm{o}^2}{2\mu\mathrm{g}}$