A 710 kg car drives at a constant speed of 23 m/s. It is subject to a drag force of 500 N. What power is required from the car’s engine to drive the car
a) on level ground?
b) up a hill with a slope of 2.0°?
Answer:
Given that,
Mass of the car, m = 710 kg
Speed of the car, v = 23 m/s
Drag force, F = 500 N
(a) Let P is the power is required from the car’s engine to drive the car on the level ground. Power is given by :
(b) Let P is the power is required from the car’s engine to drive the car on up a hill with a slope of 2 degrees.
Total force will be :
Power is given by :
or
P = 17 kW