When two or more objects interact with each other in an isolated manner, the total momentum of
the system before and after the interaction are same. For a two particle (1
and 2) system where the
particles interact with each other being isolated from the surroundings so that no external forces
act on it, the conservation of momentum is given as follows:
Because the time derivative of total momentum ptot=p1+p2
is zero, we conclude that the total momentum of the system must remain constant:
where pli and p2i are the initial values
and p1f and p2f the final values of the momentum during the
time interval dt over which the reaction pair interacts. It is worth noting that the linear momentum is
conserved separately along x, y and z directions.