- #1

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##P_0 = P##

##mv_{10} = mv_{1} + mv_{2}##

##v_{10} = v_{1} + v_{2}##

Assuming we have an initial velocity, it would seem as though the final velocity of mass 1 could add with the final velocity of mass 2 in order to equal the initial velocity. However, this is not the case because collisions don't act randomly like that. Therefore, what am I missing? I know that in elastic collisions, ##v_{10} = v_{2}## because of the additional constraint posed by the conservation of mechanical energy, but I claimed that this was an inelastic collision. Is there some constraint that I am missing?