A dragster accelerates from rest down a track of length d = 400.0 m. In the absence of any friction the dragster has a constant acceleration of a = 24 m/s2 in the direction of motion, and its mass is m = 990 kg. Assume the dragster is moving in the positive horizontal direction.
(a) Assuming there is no rolling friction, write an expression for the amount of net work done on the dragster, Wd, during the run, in terms of the given quantities.
(b) Now consider the existence of rolling friction, which causes a total resistive force with magnitude Fr on the dragster. Write an expression for the work done by this force over a distance d.
(c) Give an expression for the total kinetic energy of the dragster, Ed, in the presence of rolling friction after it travels a distanced.
(d) What is the dragster's final speed, in meters per second, assuming Fr = 1000 N?