Here's why:
* Coulomb's Law: The electric force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
* Mathematical Expression: F = k * (q1 * q2) / r^2
* F is the electric force
* k is Coulomb's constant
* q1 and q2 are the charges of the two objects
* r is the distance between the objects
* Doubling the distance: If you double the distance (r), the denominator in Coulomb's Law becomes four times larger (2r)^2 = 4r^2. Since the force is inversely proportional to the square of the distance, the force becomes one-fourth of its original value.