Basketball and tennis ball-2!

Now consider nn balls, B1,...,BnB_1, . . . , B_n, having masses m1,m2,...,mnm_1, m_2, . . . , m_n (with m1>>m2>>>>mn)(with~ m_1 >>m_2 >>· · ·>>m_n), sitting in a vertical stack. The bottom of B1B_1 is a height hh above the ground, and the bottom of BnB_n is a height h+lh + l above the ground. The balls are dropped. In terms of nn, to what height does the top ball bounce?

(Note: Work in the approximation where m1m_1 is much larger than m2m_2, which is much larger than m3m_3, etc., and assume that the balls bounce elastically.)

Try part 1 also - Basketball and tennis ball!

Question Source - Basketball and tennis ball

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