Prove the law of conservation of linear momentum

1.	Prove the law of conservation of linear momentum
Answer» Law of conservation of linear momentum :- when there is no any external force applied on a system of particles then , momentum of system of particles will be conserved or you can say that if external force is zero. Then momentum of system of particles in intially = momentum of system of particles in finally.Mathematically,\xa0From Newton\'s second law,\xa0Fext = dP/dt\xa0If Fext = 0, ∫ dP =∫ 0.dt\xa0Means dP = 0e.g., Pi = Pf\xa0Let two bodies A and B of masses m₁ and m₂ are moving with velocities u₁ and u₂ , after collision velocities of bodies are v₁ and v₂ respectively.Then, initial momentum of bodies ,Pi= m₁u₁ + m₂u₂\xa0Final momentum of bodies, Pf = m₁v₁ + m₂v₂\xa0Because external force doesn\'t apply here, so, linear momentum will be conserved .e.g., Pi = Pf\xa0m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂[Note :- here doesn\'t include sign of velocity , but when you will solve question include direction of velocity as you know velocity is vector quantity Hbsjz

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