Question

derive law of conservation of momentum

Answer 1

HEY MATE!!!


ACCORDING TO LAW OF CONSERVATION OF MOMENTUM
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MOMENTUM OF A BODY CAN NEITHER BE CREATED NOR BE DESTROYED... ITS JUST TRANSFER FROM ONE BODY TO ANOTHER DURING COLLISION...


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Answer 2

During the collision, let A impart an average force equal to FBA on B and let B exert an average FAB on A. We know that from third law of motion FBA=-FAB            (4)  

Here,

momentum conservation

canceling t on both sides and rearranging the equation we get

m1u1+m2u2=m1v1+m2v2              (5)

Now, m1u1+m2u2 represents the total momentum of particles A and B before collision and m1v1+m2v2 represents the total momentum of particles after collision. This means that  

Total momentum before collision=total momentum after collision

Equation 5 which m1u1+m2u2=m1v1+m2v2 ,is known as the law of conservation of momentum.

Thus we conclude that when two particles are subjected only to their mutual interactions ,the sum of the momentums of the bodies remains constant in time or we can say the total momentum of the two particles does not change because of the any mutual interactions between them.

For any kind of force between two particles then sum of the momentum ,both before and after the action of force should be equal i.e total momentum remains constant.

Law of conservation of linear momentum is one of the most fundamental and important principle of mechanics.

Once again ,the total momentum of two or any number of particles of interacting particles is constant if they are isolated from outside influences (or no resultant external forces is acting on the particles).