Jessie $($m$=56\mathrm{.}2$ kg$)$ is traveling at a speed of $12\mathrm{.}8$ m$/$s at the top of a $19\mathrm{.}5$m high roller coaster loop. a$.$ assuming negligible losses of energy due to friction and air resisitance, determine Jessie's total mechanical energy at the bottom of the loop $($h$=0$m$)($ans$.=1\mathrm{.}53$x$10^4$J$)$ b$.$ determine Jessie's speed at the bottom of the loop $($ans$.=23\mathrm{.}4$ m$/$s$)$ c$.$ what force does Jessie feel from her seat at the bottom of the loop? $($ans$.=3707$ N$)$