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In a normal perfectly inelastic collision, objects stick together, and there is damage done. Kinetic energy is not conserved, but momentum is. However, an explosion is a perfectly inelastic collision in reverse, because instead of having objects coming at each other and sticking together, the objects are already stuck together, and fly apart. The equation for this is

[m1 v1 + m2 v2] = [m1 + m2]*v

The damage done would be the chemical reaction involved. Atoms were at first stuck together, but there was a chemical reaction [aka "damage" because atoms were changed], and then the atoms fly apart. Thus, a perfectly inelastic collision in reverse.

Be careful how you use the physics terms; it's not an inelastic collision [that's when objects impact then part].

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