A $14\mathrm{.}3$ kg stone slides down a snow$-$covered hill $($as shown in the figure above with height $h=20\mathrm{.}9$ m $)$ leaving point $A$ at a speed of $14\mathrm{.}7\frac{m}{s}.$ There is no friction on the hill between points A and $B,$ but there is friction at the bottom of the hill, between point $B$ and a wall. After entering the rough horizontal region, the stone travels $85\mathrm{.}5$ m and then runs into a very long light spring with a spring constant of $31\mathrm{.}7\frac{N}{m}.$ The coefficients of kinetic and static friction between the stone and the horizontal ground are $0\mathrm{.}121$ and $2\mathrm{.}11,$ respectively. Consider the bottom of the hill to have zero gravitational potential energy.d$)$ Calculate the maximum compression of the spring. $q,$

Answer: m

e$)$ Calculate the magnitude of the force exerted by the spring on the stone at its maximum compression.

Answer:

N