Question

derive relation for the velocity v1 and v2 of two bodies after collision in one dimensional motion in terms of their initial velocities u1 and u2.

Answer 1

Answer:

Explanation:

Initial momentum  of mass m₁= m₁u₁

Initial momentum of mass m₂= m₂u₂

Total initial momentum of the system before collision =m₁u₁+m₂u₂

After sometime mass m₁ hits m₂ with force. according to newton 3rd  law of motion , m₂ exerts equal and opposite reaction force on m₁ .let their velocities become v₁ and v₂ respectively after collision . then,

Finial momentum of mass m₁= m₁v₁

Finial momentum of mass m₂= m₂v₂

Total momentum of the system after collision = m₁v₁+m₂v₂

According to the Law of Conservation of Momentum

Total Initial momentum of the  = Total finial momentum of the     system before collision                   system after collision

 

m₁u₁+m₂u₂=m₁v₁+m₂v₂

This equation shows that the momentum of an isolated system before and after collision remains constant the same which is Law of conservation of momentum.