Physics

Physics

Problem

Two identical spheres are suspended by strings of length LL. The charges leak from both spheres at a constant rate dqdt\frac{dq}{dt}. As a result, the spheres approach each other with velocity vv. If the separation distance xx is much smaller than LL (x≪Lx \ll L), deduce the relationship between velocity vv and separation xx (i.e., vv is proportional to xx to the power of what?).

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