## College Physics (4th Edition)

$\frac{2}{v}\times KE = (\frac{2}{v})~(\frac{1}{2}mv^2) = mv = momentum$ If two objects have the same kinetic energy, then the object with a greater speed will have a smaller momentum. Since the object with a smaller mass must have a greater speed (since the kinetic energy is the same), the object with a smaller mass has a smaller magnitude of momentum. Therefore, the object with a larger mass has a larger magnitude of momentum.