A block of mass $1 \mathrm{kg}$ is released from the top of a rough incline having $\mu =\frac{1}{\sqrt{3}}\text{.}$ The initial speed of the block is $2 \mathrm{m} {\mathrm{s}}^{-1}$. The inclined plane has unknown length and has a spring of spring constant $k = 1 \mathrm{N} {\mathrm{m}}^{-1}$ connected at the base as in the figure. Find the maximum compression of spring. (answer in meter).