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E3 solutions: Binding energy

1. 4 perfectly elastic balls are projected at a speed of 10ms-1 into a perfectly elastic container as shown in the simulation. As you can see the balls do not stay in the box but bounce out. To stay in the box they would have to lose energy. If one of the balls was given enough energy for the other 3 to just stay in the box how fast would that ball move? The sides of the container are 2.0m high.

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