Question

derive the law of conservation of momentum from newton third law of motion

Answer 1

hi ,


Momentum Conservation

 Law of conservation of momentum: In absence of an external unbalanced force the sum of momenta (plural of momentum) of two objects before collision is equal to sum of momenta of those objects after collision.

 

All conservation laws such as conservation of momentum, energy, angular momentum, charge etc. are considered to be fundamental laws in physics. These are based on observations and experiments and cannot be proved. They can be verified, or disproved, by experiments.

 
Where  ua = initial velocity of mass A   
  ub = initial velocity of mass B

va = final velocity of mass A     

    va = initial velocity of mass B

Answer 2

Newton's second law of motion says that rate of change of linear momentum of a body is equal to the net external force applied on it. If the net external force acting on a body is zero, then the rate of change of momentum is also zero, which means that there is no change in momentum.