Problem $\backslash$#$9(9$ points$)$

A box of mass $5\mathrm{.}00$ kg is pushed against a spring with spring constant $\backslash (350.\backslash$frac$\{\backslash$mathrm$\{$N$\}\}\{\backslash$mathrm$\{$m$\}\}\backslash )$ until the spring is compressed by $0\mathrm{.}200$ m $.$ The box is then released and slides across a rough surface. The box comes to a stop due to friction after sliding $2\mathrm{.}50$ m $.$

Question $\backslash$#$1(3$ points$)$

Draw a diagram showing this situation. Be sure to include a before and after picture and label all relevant quantities.

Question $\backslash$#$3(3$ points$)$

What is the force due to friction and how much total work is done to stop the box?

Bonus $\backslash$#$10(3$ points$)$

What is the coefficient of kinetic friction between the box and the surface?