One ball has 7 times the mass and twice the speed of another.

Question

1. How does the momentum of the more massive ball compare to the momentum of the less massive one? Find the ratio of the momenta.

2. How does the kinetic energy of the more massive ball compare to the kinetic energy of the less massive one? Find the ratio of the kinetic energies

Answer 1

7 m * 2 v = 14 m v

(1/2)(7m)(2v)^2 = (1/2)(7)(4) mv^2
= 28 * (1/2)m v^2