Question

A line of identical train cars collide inelastically. (They couple.) Three carts are initially
coupled and moving at speed v: the rest are stationary. The three moving cars hit a fourth,
then those four hit a fth, and so on. This continues until the speed of the "collection" is 1/5
the speed of the initial three carts. How many carts are in the nal "collection"?

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