I have a problem where two charged spheres repell each other, and as they do so compress springs. Solving for the k of the springs using force analysis is simple and results in a k value of about 55 N/m. If however you try to solve using conservation of energy you get a very different result at around 439 N/m. I can't see where either solution is incorrect but also can't resolve the difference:
Two spheres 8cm apart are each charged with 2.5 x 10^-6C. They come to rest 16cm apart. Find k.
Energy can be dissipated but the forces needs to be equal for equilibrium.
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