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 4.5× 104 kg, and the force causes its speed to change from 7000 to 5000m/s. (a) What is the work done by the force? (b) If the asteroid slows down over a distance of 1.4× 106 m determine the magnitude of the force.

I know how to do part a, I'm not sure about part b though

1 answer

work done = increase in kinetic energy
(here we have a decrease so the work is negative. The force is opposite to the direction of motion)

work = (1/2)(4.5*10^4)(5000^2 - 7000^2)

work = force *distance moved in direction of force
so
Force = work/(1.4*10^6)