Q$2[$Type B$]$: When the $20-$kg block is at the position shown, the spring is unstretched, and the block is moving down the inclined surface at a speed of $\backslash (20\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ If the stiffness of the spring is $\backslash (500\backslash$mathrm$\{$~N$\}/\backslash$mathrm$\{$m$\}\backslash )$ and the kinetic friction coefficient between the two surfaces is $\backslash (\backslash$mu$\_\{$k$\}=\backslash )0\mathrm{.}2,$ determine the distance $\backslash ($ s $\backslash )$ that the block travels before it momentarily stops. Solve using the Equation of Motion method.