The four wheels of a car each have a mass m = 24 kg and a radius r = 33 cm. The mass of the automobile without its wheels is M = 1030 kg. Frictional losses are neglected. Wheels are likened to homogeneous cylinders. (a) What is the total kinetic energy of the automobile and the wheels if the velocity of the automobile has a modulus of 27.7 m/s? (b) How far will the car (in neutral) travel up an inclined plane of 12 degrees before stopping if its initial speed is 27.7 m/s?