An asteroid is moving along a straight line. A force acts along the displacement of the asteroid and slows it down. The asteroid has a mass of 5.5 10⁴ kg, and the force causes its speed to change from 6500 to 4700m/s. (a) What is the work done by the force? (b) If the asteroid slows down over a distance of 2.2 10⁶ m determine the magnitude of the force.