Question

Mathematically prove the law of conservation of momentum.

Answer 1

Answer:

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Total momentum of the system of two balls after collision, pf = p1f +p2f = m1v1 + m2v2. Also from Newton"s Second Law: Total momentum before collision = Total momentum after collision. Hence this equation implies that if no external force acts on the system of two colliding balls, the total momentum is conserved.