Yes. But I don't see any assumptions that would justify assuming equilibrium in this case.
I understand reasoning like "the process happens gradually," but I don't see how that is at all justified only on the basis of information given in the problem itself.
Both of these are small compared to...
That the changes in x are small compared to the a in v = a/sqrt(x). Or that the process happens very gradually, so that it's practically in equilibrium throughout.
How would such approximations be justified by the problem statement? It says only that the balls are small and that x << d.
Electrostatics-- spheres leaking charge
Homework Statement
Two small equally charged spheres, each of mass m, are suspended from the same point by silk threads of length d. The distance between the spheres x << d. Find the rate dq / dt with which
the charge leaks off each sphere if their...