A $1\mathrm{.}80$ kg block slides on a rough horizontal surface. The block hits a spring with a speed of $2\mathrm{.}30\frac{m}{s}$ and compresses it a distance of $11\mathrm{.}0$ cm before coming to rest.

Part A

If the coefficient of kinetic friction between the block and the surface is $0\mathrm{.}560,$ what is the force constant of the spring?

$k=$ N$/$m