$1992$B$2.$ A $30-$Ll$0$gam child noving at $4\mathrm{.}0$ meters per second junps outo a $50-$kilogram sled that is initally at reston a lotig, frictionless, horizontal sheet of ice.Determine the speed of the child$-$sled system after the child jungs onto the sledDetermine the linetic energy of the child$-$sled system after the child jumps onto the sledAfter coasting at constant speed for a short time, the child jumps off the sled in such a way that she is at rest with respect to the ice.Determine the speed of the sled afer the child jumms oft it$.$d Deterwine the Linetic energy of the child$-$slad system when the child is at rest on the ice.e$.$Compare the kinetic energies that were determined in parts $($b$)$ and $($d$).$ If the energy is greater in $($d$)$ than it is in $(6),$ where did the increase come from? If the energy is less in $($d$)$ than it is in $($b$),$ where did the energy go$?$