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| Teaching Since: | May 2017 |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Basketball and tennis ball
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(a) A tennis ball with a small mass m2 sits on top of a basketball with a large mass m1 (see Fig. 4.45). 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 does the tennis ball bounce?
(b) Now consider n balls, B1, . . . , Bn, having masses m1, m2, . . . , mn (with m1 >> m2 >> · · · >> mn), standing in a vertical stack (see Fig. 4.46). The bottom of B1 is a height h above the ground, and the bottom of Bn is a height h +
 above the ground. The balls are dropped. In terms of n, to what height does the top ball bounce? Note: Make assumptions and approximations similar to the ones in part (a). If h = 1 meter, what is the minimum number of balls needed for the top one to bounce to a height of at least 1 kilometer? To reach escape velocity? Assume that the balls still bounce elastically (which is a bit absurd here), and ignore wind resistance, etc., and assume that
 is negligible.

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