Understanding Coulomb's Law

Coulomb's Law describes the force between two charged objects:

* F = k * (q1 * q2) / r²

Where:

* F is the electrostatic force (in Newtons, N)

* k is Coulomb's constant (approximately 8.99 x 10^9 N m²/C²)

* q1 and q2 are the magnitudes of the charges (in Coulombs, C)

* r is the distance between the charges (in meters, m)

Solving the Problem

1. Identify the knowns:

* F = 25.0 N

* q1 = q2 = 6.00 C

* k = 8.99 x 10^9 N m²/C²

2. Rearrange Coulomb's Law to solve for r:

* r² = k * (q1 * q2) / F

* r = √(k * (q1 * q2) / F)

3. Plug in the values and calculate:

* r = √((8.99 x 10^9 N m²/C²) * (6.00 C * 6.00 C) / 25.0 N)

* r ≈ 1.14 x 10^5 m

Answer: The two charges are approximately 1.14 x 10^5 meters apart.

Important Note: This is a very large distance, about 114 kilometers! It's important to remember that the force between charges decreases rapidly as the distance between them increases.