Suppose i have the following system of 4 different charges and different masses arranged at the corner of the square and i know the initial electrostatic energy of the system, and i want to know the speeds of individual charges when the system expands due to electrostatic repulsion uptill infinity (all charges free to move)
Is that possible? i feel that energy and momentum conservation are just not giving enough equations,, and even taking angular momentum about com does'nt seem to make it any easier either,,, infact what i basically fail to understand is how to find in what ratio the net electrostatic energy of the system is distributed among them as they move to infinity,
It is easier if they were like charges.,, which is a common question, but this seems harder,, impossible,,
But nothings supposed to have an infinite number of solutions in physics,, there should be a definite speeds with which each particle should end up with,, what am i missing?
I request any one with the knowledge i seek to enlighten me regarding this with proper explanation hopefully through some math.