Question

an angry rhino with a mass of 2900 kg charges directly toward you with a speed of 3.70 m/s. before you start running, as a distraction, you throw a 0.180 kg rubber ball directly at the rhino with a speed of 6.42 m/s. determine the speed of the ball (in m/s) after it bounces back elastically toward you.

Answer 1

If you start running before an enraged rhino with a mass of 2900 kg charges directly at you at a speed of 3.70 m/s, the speed of the ball after the elastic collision, bounces back toward you will be 16.54 m/s.

The rubber ball will rebound with the same speed plus two times the speed of the rhino if you assume that the rhino is infinitely more massive than the rubber ball and that the rhino is pushing off the earth to make elastic collision, which negates the need for conservation of momentum.

The complete formula for an elastic collision is

v1' = (m - M)/(m+M)*v1 + (2M)/(m+M)*v2

According to M>>m

v1' = -v1 - 2V2 = -3.70 -2*6.42 = 16.54 m/s

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