A motor car of mass 850kg is being driven up an incline of 1 in 6 measured along the slope. If the engine develops an output power of 45kW, 30% of which is lost through the transmission to the wheels, and there is a constant frictional resistance of 350N. Construct a forces diagram [3 marks] and calculate: a. The constant speed which the car can maintain up the incline. b. Given that the car travels 24m up the slope from rest to this velocity, calculate the change in energy. c. Calculate the speed with which the car would travel along a level road if the power available at the road wheels remains unchanged and there is a coefficient of friction between the tyres and the surface of 0.15.

A motor car of mass 850kg is being driven up an incline of 1 in 6 measured along the slope. If the engine develops an output power of 45kW, 30% of which is lost through the transmission to the wheels, and there is a constant frictional resistance of 350N. Construct a forces diagram [3 marks] and calculate: a. The constant speed which the car can maintain up the incline. b. Given that the car travels 24m up the slope from rest to this velocity, calculate the change in energy. c. Calculate the speed with which the car would travel along a level road if the power available at the road wheels remains unchanged and there is a coefficient of friction between the tyres and the surface of 0.15.