## Physics: Principles with Applications (7th Edition)

This question is a good review of the relationships among force, time, momentum, work, and KE. The work-energy theorem tells us that for an object with zero initial KE (starting at rest), the work done is the final KE. The same force acts for the same distance on both vehicles, so the work done on each is the same, meaning they have the same final KE. The momentum of an object can be expressed in terms of its KE. $$p = mv = \sqrt{m^{2}v^{2}} = \sqrt{(2m)(\frac{1}{2}mv^{2})} = \sqrt{(2 m)(KE)}$$ We see that if 2 objects have the same KE, the more massive object has a larger momentum. Choice E summarizes the situation.