Physics I / Electric Charge and Coulomb's Law
Practice question · Estimate

Two charges repel with a force of 36 N. You triple the distance between them. Predict the new force, in newtons.

Estimate on a scale from 0 N (0) to 40 N (40).

Hints
  1. Coulomb’s law is an inverse-square law: F1/r2F \propto 1/r^{2}.
  2. Tripling rr divides the force by 32=93^{2} = 9.
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Why

36/9=436/9 = 4 N. Inverse-square dilution is geometric: the same "influence" spreads over a sphere whose area grows as r2r^{2}, the same law gravity obeys.

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