What work did the particles do?

A system of two charged particles as shown are attracting each other.

Because of mutual attraction, the particles are accelerated towards each other. No external force has been applied.

Particle B exerts a force F A B F_{AB} on A. Similarly, A exerts a force F B A F_{BA} on B. Note that F A B F_{AB} = - F B A F_{BA} , so that F A B F_{AB} + F B A F_{BA} = 0.

So the work by F A B F_{AB} + the work by F B A F_{BA} = ?

Increase in the total kinetic energy of the two particles 0 Decrease in the total kinetic energy of the two particles

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1 solution

The 2 forces are opposite but so are their displacements. Thus, work done by the forces is positive and is added to give the increase in the total kinetic energy of the 2 particles.

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