Prove the conservation of linear momentum for a head on collisionof two bodies with the help of newton's second law - Science - Force and Laws of Motion

Question

Prove the conservation of linear momentum for a head on collisionof
two bodies with the help of newton's second law

Sushant Ranjan · Accepted Answer

Dear Student,

Law of conservation of momentum is more basic than third law of
motion However here we derive the law of conservation of momentum
from the third law of motion
Let us suppose a body of mass m1 travelling
with velocity u1 collides with another body of mass
m2 and travelling with velocity u2 After
collision let the first body changes its velocity to v1
and the second body to v2
Since there is change in velocity of the either bodies
there must be change in momentum and force experienced by both of
them due to each other
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Regards