Physicsenergy
posted by Anonymous .
Calculate the thermal energy dissipated from brakes in a 1310kg car that descends a 13.5° hill. The car begins braking when its speed is 88 km/h and slows down to a speed of 34 km/h in a distance of 0.52 km measured along the road.

thermal energy dissipated= change in KE+change in PE
= 1/2 m(vi^2vf^2)+mg520*sin13.5
check my thinking. 
work done = force * distance
F = m a
Change in potential energy =  m g (.52*10^3) sin 13.5
Change in kinetic energy =  (1/2) m (8834)^2 (10^3 m/km/3600s/hr)^2
thermal energy + change in potential energy + change in kinetic energy = 0