Question

The magnitude of the force between two point charges 1.0 m apart is 9×10⁻⁹ N, what does the force become when the distance between them is doubled?

Answer 1

Using Coulomb's Law, if the distance between two point charges is doubled, the force between them becomes one-fourth of the original. Hence, the new force would be 2.25×10⁻⁹ N.

Step-by-step explanation:

The question pertains to the concept in Physics known as Coulomb's Law, which states that the electrostatic force between two point charges is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them.

According to Coulomb's Law, if the distance between two charges is doubled, the force between them becomes one-fourth, because the force is inversely proportional to the square of the distance.

Therefore, if the original force is 9×10⁻⁹ N, when the distance is doubled, the new force will be (1/4)×9×10⁻⁹ N, which is 2.25×10⁻⁹ N.