Prove law of conservation of momentum?

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Gaurav Seth 7 years, 1 month ago
Law of conservation of momentum states that total momentum of system remains conserved in the absence of external force.
striking against another body of mass m2moving with velocity
.
.
be the average force exerted by mass m1 on m2 and let
be the force on m2 due to m1.



Proof:
Consider a body of mass m1 moving with veocity
Let, the two bodies remain in contact with each other for a small interval
Let,
Let, v1 and v2 be the velcoities of two bodies after collision.
Momentum of mass m1 before collision = m1u1
Momentum of mass m2 after collision = m2
Momentum of mass m1 after collision = m1v1
By using the defintion of impulse, change in momentum of mass m1 is,
2Thank You