The Principle of Conservation of Linear Momentum

The law of momentum conservation can be stated as follows:

For a collision occurring between object 1 and object 2 in an isolated system, the total momentum of the two objects before the collision is equal to the total momentum of the two objects after the collision. That is, the momentum lost by object 1 is equal to the momentum gained by object 2.
    An isolated system is a system which is free from the influence of a net external force.
    The above statement tells us that the total momentum of a collection of objects (a system) is conserved" - that is the total amount of momentum is a constant.

Object 1:            (W1 + F12) /\t = m1 Vf1 - m1 V01

                     External force   +    Internal force

Object 2:           (W2 + F21) /\t =  m2 Vf2 - m2 V02

                    External force   +  Internal force