A child whose weight is $299$ N slides down a $6\mathrm{.}20$ m playground slide that makes an angle of $48\mathrm{.}0\backslash$deg with the horizontal. The coefficient of kinetic friction between slide and child is $0\mathrm{.}190.($a$)$ How much energy is transferred to thermal energy? $($b$)$ If she starts at the top with a speed of $0\mathrm{.}322$ m$/$s$,$ what is her speed at the bottom?