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Two charges are fired directly at each other. Both charges have different masses and different initial velocities so that the initial momentum of the system is not necessarily zero. Assume that the net momentum of the system is \(\overrightarrow{{p}}\) . Minimize the separation distance of the charges \(| \overrightarrow{{r_{2}}} -\overrightarrow{{r_{2}}} |\) in one dimension where the vectors are the position vectors of the particles with respect to an arbitrary inertial coordinate system.

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