Question

prove that conservation of momumtan

Answer 1

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

Here,

momentum conservation

canceling t on both sides and rearranging the equation we get

m1u1+m2u2=m1v1+m2v2

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