Wow  we can talk physics here too. Awesome.
Interesting problem, but it's kind of ambiguous. A mix of EM and classical Newtonian mechanics, a little weird. Let me see if I can understand the problem a little more clearly here. It seems we have two point charges coming into contact and then repelling due to a repulsive net electrostatic force, or equivalent charges. You want to determine the maximum velocity of the point charges as they repel. So, first we need to determine the magnitude of the average electrostatic force that acts between the two particles,
F_e = [1/(4*pi*epsilon_0)][(e^2)/(r^2)]
and then translate that into a vector form of Coulomb's law. Since the force is repulsive, assuming the particles have the same sign, the position vectors must be parallel. We can designate that as a vector R and a vector F, and then take into account Newtons third law since gravity is obviously at play.
F = [1/4*pi*epsilon][(q_1*q_2)/(R^2)]R,
F_g = G[(m_e*m_p)/(r^2)]
Sadly, this is rather pointless because even though the vector form of coulomb's law carries within it directional information about the two vectors, and whether they are attractive or repulsive, it's really only critical when taking into account a system of more than two charges. In this case, the above equation would hold for every pair of charges, and the total force on any one charge would be found by taking the vector sum of the forces due to each of the other charges. Incidentally, the equation utilized for that purpose is identical to the mathematical representation of the principle of superposition applied to electric forces.
What it seems like you're really asking though is, what would be the maximum velocity and maximum acceleration of two small inactive magnet spheres placed side by side, then switched on, and taking account for the amperes per second, be after a certain period of time? Great question, but I too am not sure, since Coulomb's law,
F ∝ (q_1*q_2)/(r^2)
Generally holds only for point charges.


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