A 1400 kilogram car coasts in neutral down a 2.0 degree hill. The car attains a terminal speed of 20.0 m/s.
(a) Find how much power must the engine deliver to drive the car on a level road at 20.0 m/s?
(b) If the maximum useful power that can be delivered by the engine is 40.0 kW, find what is the steepest hill the car can climb at 20.0 m/s?