To find the distance between the charges, we can use Coulomb's law to relate the electric force between the charges to their magnitudes and the distance between them.
Coulomb's law states that the electric force between two charges is given by the equation:
F = (k * |q1 * q2|) / r^2
where F is the electric force between the charges, k is the electrostatic constant (k = 8.99 x 10^9 N m^2/C^2), q1 and q2 are the magnitudes of the charges, and r is the distance between the charges.
Given that the electric force between the charges is 2.76 Newtons and one of the charges is -14.9 micro-Coulombs (-14.9 x 10^-6 C), we can rearrange the equation to solve for the distance:
r = โ((k * |q1 * q2|) / F)
Plugging in the values we have:
r = โ((8.99 x 10^9 N m^2/C^2 * |(14.9 x 10^-6 C) * (14.9 x 10^-6 C)|) / (2.76 N))
Now we can calculate the distance by evaluating this expression.