Question

State the law of conservation of momentum and derive the formula.

Answer 1

Let mass of object A and B be m₁ and m₁ respectively

Let their initial velocity be u₁ and u₂ Let their final velocity be v₁ and v₂

We know, 

P = mv

Let their initial momentum be m₁ u₁ and m₂ u₂ 

Let their final momentum be m₁v₁ and m₂v₂

Total initial momentum = (m₁u₁ + m₁u₁) 

Total final momentum = (m₁v₁ + m₂v₂)

If F₂ is the force that acts on object B,

i.e. The magnitude of total of total final momentum = the magnitude of total initial momentum