While unrealistic, we will examine the forces on a leg when one falls from a height by approximating the leg as a uniform cylinder of bone with a diameter of $2\mathrm{.}3$ cmcm and ignoring any shear forces. Human bone can be compressed with approximately $1\mathrm{.}71088$ N$/$m$2$N$/$m$2$ before breaking. A man with a mass of $100$ kgkg falls from a height of $5$ mm$.$ Assume his acceleration once he hits the ground is constant. For these calculations, gg $=10$ m$/$s$2$m$/$s$2.$

If he bends his legs as he lands, he can increase the distance over which he slows down to $50$ cmcm$.$ What would be the average force he experiences in this scenario?