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Prove law of conservation of momentum?

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Prove law of conservation of momentum?
  • 1 answers

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.

Proof:

Consider a body of mass m1 moving with veocity  striking against another body of mass m2moving with velocity .

Let, the two bodies remain in contact with each other for a small interval  .

Let,  be the average force exerted by mass m1 on m2 and let  be the force on m2 due to m1. 
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, 

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