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Sometimes, math and physics conspire in ways that just feel too good to be true. Letamp;#39;s play a strange sort of mathematical croquet. Weamp;#39;re going to have two sliding blocks and a wall. The first block starts by coming in at some velocity from the right, while the second one starts out stationary. Being overly idealistic physicists, letamp;#39;s assume thereamp;#39;s no friction and all of the collisions are perfectly elastic, which means no energy is lost. The astute among you might complain that such collisions would make no sound, but your goal here is to count how many collisions take place, so in slight conflict with that assumption I want to leave a little clack sound to better draw your attention to that count. The simplest case is when both blocks have the same mass. The first block hits the second, transferring all of its momentum, then the second one bounces off the wall, and then transfers all of its momentum back to the first, which then sails off towards inf
