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the energy transfers from the moving thing to the stand still. The energy balance depends on whether the collision is elastic or not. If the objects involved are all elastic, ie not deformed permanently, there is no loss of energy. The easiest visualization is of a snooker or pool table, where the balls are elastic, the velocities before and after the collision are entirely predictable. However if the objects are deformed, energy is absorbed. A good case is cars colliding where they are designed to crumple to an extent, this makes the subsequent behaviour more difficult to calculate.

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Q: What happens to the energy when two things collide?
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