A spring whose constant is $200\frac{N}{m}$ can be stretched up to $0\mathrm{.}2$ meters.

a$)$ Draw a graph of Force vs$.$ Stretch for this spring, where stretch ranges from zero to the maximum stretch. Be sure to put an appropriate scale on the graph. $[$Hint: The spring constant does NOT go on the $y-$axis!$]$

b$)$ If the spring is set vertically and a mass of $2\mathrm{.}8kg$ hangs from it$,$ what is the stretch of the spring? Mark this point on the graph.

Stretch $($meters$)$

c$)$ If the spring is stretched from zero to $0\mathrm{.}12m,$ what is the potential energy stored in the spring?