1. Understand Coulomb's Law

Coulomb's Law describes the force between two point charges:

* F = k * (q1 * q2) / r²

* F = Force (in Newtons)

* k = Coulomb's Constant (approximately 8.98755 × 10⁹ N⋅m²/C²)

* q1 and q2 = Charges (in Coulombs)

* r = Distance between the charges (in meters)

2. Rearrange the Equation

We need to solve for 'r' (the distance). Let's rearrange the equation:

* r² = k * (q1 * q2) / F

* r = √(k * (q1 * q2) / F)

3. Plug in the Values

* F = 200 N

* q1 = q2 = 0.001 C

* k = 8.98755 × 10⁹ N⋅m²/C²

4. Calculate the Distance

* r = √((8.98755 × 10⁹ N⋅m²/C²) * (0.001 C * 0.001 C) / 200 N)

* r ≈ √(4.493775 × 10⁻⁵ m²)

* r ≈ 0.0067 m

Therefore, the distance between the charges is approximately 0.0067 meters (or 6.7 millimeters).