$(10$ pts$)$ A $5\mathrm{.}10$ kg steel ball strikes a wall with a speed of $13\mathrm{.}0\frac{m}{s}$ at an angle of $60$ degrees with respect to the surface of the wall. It bounces off with the same speed and angle as in the figure. If the ball is in contact with the wall of $0\mathrm{.}200$ s $,$ what is the average force exerted by the wall? Give your answer in $(x,y)$ force component notation. Is this an example of an elastic or inelastic collision? Depending on whether this is an elastic or inelastic collision, what quantities, if any, are conserved in this process?