when applying Coulomb's law to investigate the strength of a magnet at various distances, how do we find the q's in the Coulomb's law?

When applying Coulomb's law to investigate the strength of a magnet at various distances, the "q's" in the Coulomb's law equation typically refer to the charges of the objects involved in the interaction. In the case of magnets, the "q's" would represent the magnetic charges or magnetic moments of the magnets.

To determine the magnetic charges or moments of the magnets, you would need to measure or calculate them based on the specific properties of the magnets. For permanent magnets, the magnetic moment can be determined by the material composition and magnetization of the magnet. You may also need to consider any distance dependence of the magnet's strength, as the magnetic field produced by a magnet typically decreases with distance according to the inverse square law.

Once you have determined the magnetic charges or moments of the magnets, you can then use Coulomb's law to calculate the force between the magnets at various distances. Coulomb's law for magnetic charges is similar to the formula for electric charges, with the magnetic charges or moments taking the place of the electric charges in the equation.