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Sometimes math and physics conspire in ways that feel too good to be true. Lets play a strange sort of mathematical Croquet. Well have two sliding blocks and a wall. The first block starts by coming in at some velocity from the right, while the second starts out stationary. Being overly-idealistic physicists, lets assume that there is no friction and that all collisions are perfectly elastic, which means no energy is lost. The astute among you might complain that such collisions would make now sound, but your goal will be to count how many collisions take place, so in slight conflict to the assumptions, I want to leave in a little clack sound to better draw your attention to that count. The simplest case is when both blocks of the same mass. The first block hits the second, transferring all of its momentum. Then the second one bounces off the wall, then it transfers all of its momentum back to the first, which then sails off towards infinity. Three total clacks. What about if that
