If you don't solve this problem correctly in $3$ tries, you can get a hint.

a$)$ How high a hill can a car coast up $($engine disengaged$)$ if work done by friction is negligible and its initial speed is $\backslash (136\backslash$mathrm$\{$~km$\}/\backslash$mathrm$\{$h$\}\backslash )?$

m

b$)$ If$,$ in actuality, a $755$ kg car with an initial speed of $\backslash (136\backslash$mathrm$\{$~km$\}/\backslash$mathrm$\{$h$\}\backslash )$ is observed to coast up a hill to a height $32\mathrm{.}1$ m above its starting point, how much thermal energy was generated by friction? $(1)$ J

c$)$ What is the average force of friction if the hill has a slope $\backslash (2\mathrm{.}00^\{\backslash$circ$\}\backslash )$ above the horizontal? N