A mass $M$ slides upward along a rough plane surface inclined at angle $=0\mathrm{.}29$ in radians to the horizontal. Initially the mass has a speed $V_0=4\mathrm{.}64\frac{m}{s},$ before it slides a distance $L=1\mathrm{.}0m$ up the incline. After sliding this distance the new speed of the mass is $\frac{V_0}{5}$ measured in $\frac{m}{s}.$ What is the coefficient of kinetic friction ${}_k$ between the mass and the incline?

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