$23[$Type B$]$: Same as Question $2$ but solve using the Work and Energy method.

Vhen the $\backslash (20-\backslash$mathrm$\{$kg$\}\backslash )$ block is at the position shown, the spring is unstretched, and the block is noving down the inclined surface at a speed of $\backslash (20\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ If the stiffness of the spring is $500\backslash (\backslash$mathrm$\{$I$\}/\backslash$mathrm$\{$m$\}\backslash )$ and the kinetic friction coefficient between the two surfaces is $\backslash (\backslash$mu$\_\{$k$\}=0\mathrm{.}2\backslash ),$ determine ne distance s that the block travels before it momentarily stops. Solve using the Work nd Energy method.