A car, of mass 2000 kg, is travelling up a hill at a constant speed of 90.0 km/h. The force of air resistance, which opposes this motion is 450 N. The slope of the hill is 6.0 degrees.
(a) Draw a free-body diagram to show the external forces acting on the car as it moves up the hill.
(b) Determine the forward force needed to maintain the car's speed.
(c) Assuming that all the power output of the car engine goes into maintaining the car's forward motion, calculate the power output of the engine.