A 7.94 nC charge is located 1.75 m from a 4.18 nC point charge. Find the magnitude of the electrostatic force that one charge exerts on the other.

F=k•q₁•q₂/r²

k =9•10⁹ N•m²/C²

To find the magnitude of the electrostatic force between two charges, we can use Coulomb's Law.

Coulomb's Law states that the electrostatic force between two charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them.

Here's how we can use Coulomb's Law to solve this problem:

1. Determine the values given in the problem:
- Charge 1: q1 = 7.94 nC (nanoCoulombs)
- Charge 2: q2 = 4.18 nC (nanoCoulombs)
- Distance between the charges: r = 1.75 m

2. Convert the charges from nanoCoulombs to Coulombs:
- q1 = 7.94 nC = 7.94 x 10^-9 C
- q2 = 4.18 nC = 4.18 x 10^-9 C

3. Plug the values into Coulomb's Law formula:
- F = (k * |q1 * q2|) / r^2
- k is the electrostatic constant: k = 8.99 x 10^9 Nm^2/C^2
- |q1 * q2| is the product of the charges, taking the absolute value to ensure a positive result.

4. Calculate the electrostatic force:
- F = (8.99 x 10^9 Nm^2/C^2) * |7.94 x 10^-9 C * 4.18 x 10^-9 C| / (1.75 m)^2
- F = (8.99 x 10^9 Nm^2/C^2) * (7.94 x 10^-9 C * 4.18 x 10^-9 C) / (1.75 m)^2

Simplifying and calculating the result will give you the magnitude of the electrostatic force between the charges in Newtons.