A $56\mathrm{.}2$ kg woman wearing ice skates is standing on a skating rink next to a vertical wall. She pushes off against the wall and begins to slide along the perfectly horizontal surface of the rink. The coefficient of kinetic friction between the blades of her ice skates and the surface of the rink is $0\mathrm{.}05.$ If she slides a distance of $15\mathrm{.}9$ m before stopping and her push against the wall lasted $0\mathrm{.}1$ s$,$ what was the average force $($in N$)$ that she exerted on the wall?