Basketball and tennis ball!

Classical Mechanics Level 4

A tennis ball with (small) mass \(m_2\) sits on top of a basketball with (large) mass \(m_1\). The bottom of the basketball is a height \(h\) above the ground, and the bottom of the tennis ball is a height \(h + d\) above the ground. The balls are dropped. To what height \(H\) does the tennis ball bounce?

(Note: Work in the approximation where \(m_1\) is much larger than \(m_2\), and assume that the balls bounce elastically.)

Question Source - Basketball and tennis ball

Try Part 2 also - Basketball and tennis ball-2!


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