Here's why:
* Coulomb's Law: The electric force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
* Mathematical Representation: F = k * (q1 * q2) / r^2, where:
* F is the electric force
* k is Coulomb's constant
* q1 and q2 are the magnitudes of the charges
* r is the distance between the charges
* Doubling the Distance: If you double the distance (r), the denominator (r^2) becomes four times larger. Since the force is inversely proportional to the square of the distance, the force becomes four times smaller.
In summary: Doubling the distance between two charged objects weakens the electric force between them by a factor of four.
