Question

In the collision between two bodies a heavier and the other lighter. Write the relation between the changes in momentum of two bodies

Answer 1

let us consider two bodies with masses m1 and m2( where m1>m2)
let u1 and u2 be the initial velocities.
let the collison last for small fraction of second and two two bodies gain final velocites v1 and v2
According to the law of conservation of momentum:
Momentum before collision = momentum after collision.
m1u1+m2u2=m1v1+m2v2
m1u1-m1v1=m2v2-m2u2
m1(u1-v1)=m2(v2-u2)
change in momentum of first object = change in momentum of second object