I Why is momentum conserved in elastic and inelastic collisions?

Why momentum conserved in elastic collision and inelastic collision? Please attach mathematical proof too
 

Doc Al

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Consider Newton's 3rd law.
 

Chandra Prayaga

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What you wrote was just the expression for the kinetic energy. The point made by Doc Al in post #2 is that from Newton's third law, you can prove that momentum is conserved.
 

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