A car of mass m 1600 kg, while moving on any road, experience resistance to its motion given by `(m+nV^(2))` newton, where m and n are positive constants. On a horizontal road the car moved at a constant speed of 40 m/s when the engine developed a power of 53 KW. When the engine developed an output of 2 KW the car was able to travel on a horizontal road at a constant speed of 10 m/s. (a) Find the power that the engine must deliver for the car to travel at a constant speed of 40 m/s on a horizontal road. (b) The car is able to climb a hill at a constant speed of 40 m/s with its engine working at a constant rate of 69 KW. Calculate the inclination of the hill (in degree)

Answer

(a) 53 KW
(b) `theta=1.43^(@)`