A spring with k$=30$ kN$/$m stops a $50$ kg package

sliding down a $20$ incline with a coefficient of

kinetic friction of $0\mathrm{.}15$ between the package and

incline.

The spring is initially compressed by $50$ mm from

its equilibrium as a result of two cables holding it

in position.

The velocity of the package is $2\mathrm{.}0$ m$/$s when $8\mathrm{.}0$

m from making contact with the spring platform.