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Two particles (one an electron and one a positron (same mass as an electron, same charge...

Two particles (one an electron and one a positron (same mass as an electron, same charge except positive) start out 2 mm apart and are headed away from each other. They are each traveling at 2000 m/s. How far apart do they get?

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Answer #1

The initial kinetic energy of the system will be equal to the final potential energy minus the initial potential energy. Or, framing it differently, the final potential energy will be the sum of the initial kinetic energy and initial potential energy.

The initial kinetic energy

The initial potential energy

At infinity, the potential energy will be zero. We can see that since the sum of the initial kinetic energy and initial potential energy is greater than zero, they will move infinitely far apart.

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