A car of weight 2,500 N operating at a rate of 130 kW develops a maximum speed of 31 m/s on a level, horizontal road. Assuming that the resistive force (due to friction and air resistance) remains constant.
(a) What is the car's maximum speed on an incline of 1 in 20 (ie, if theta is the angle of the incline with the horizontal, sin = 1/20)?
(b) What is its power output on a 1-in-10 incline if the car is traveling at 10 m/s?