If Coulomb's law involved `1/r^3` (instead of `1/r^2)`, would Gauss's law still be true?

Explanation

To determine whether Gauss's law would still hold true if Coulomb's law involved a \( \frac{1}{r^3} \) dependence instead of the traditional \( \frac{1}{r^2} \), we can analyze the implications step by step.

### Step-by-Step Solution:

1. **Understanding Coulomb's Law**:
Coulomb's law states that the force \( F \) between two point charges \( q_1 \) and \( q_2 \) separated by a distance \( r \) is given by:
\[
F = k \frac{q_1 q_2}{r^2}
...