Understanding the Concepts
* Coulomb's Law: This law describes the force between two point charges. The force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
* Force and Direction: The force between two charges of opposite signs is attractive (pulling them together).
Setting up the Equation
Coulomb's Law is given by:
F = k * (q1 * q2) / r²
Where:
* F = Force (in Newtons, N)
* k = Coulomb's constant (approximately 8.98755 × 10⁹ N⋅m²/C²)
* q1 and q2 = The magnitudes of the charges (in Coulombs, C)
* r = The distance between the charges (in meters, m)
Solving for Distance
1. Identify the known values:
* F = N (given in the problem)
* q1 = 1 C
* q2 = 1 C (since the charges are identical)
* k = 8.98755 × 10⁹ N⋅m²/C²
2. Rearrange the equation to solve for r (distance):
* r² = k * (q1 * q2) / F
* r = √(k * (q1 * q2) / F)
3. Substitute the values and calculate:
* r = √(8.98755 × 10⁹ N⋅m²/C² * (1 C * 1 C) / N)
* r = √(8.98755 × 10⁹ m²/N)
* r ≈ 94800 m (approximately)
Therefore, the separation between the two objects would have to be approximately 94,800 meters (or 94.8 kilometers) for the electrical force on each to be exactly N.
Important Note: The exact answer will depend on the specific value of the force "N" that you are given in the problem.