A tennis ball bounces on the floor three times, and each time it loses 23.0% of its energy due to heating. How high does it bounce after the third time, if we released it $4.0 {~m}$ from the floor?

Question

Quizplus · Accepted Answer

The ball loses 23.0% of its energy due to heating each time it bounces. So, after the first bounce, it has 77.0% of its original energy. After the second bounce, it has 77.0% of 77.0% = 59.3% of its original energy. After the third bounce, it has 59.3% of 59.3% = 35.2% of its original energy.The height to which the ball bounces is proportional to its energy. So, after the third bounce, the ball bounces to a height of 35.2% of 4.0 m = 1.41 m = 141 cm.

A Tennis Ball Bounces on the Floor Three Times, and Each