Final answer:
To find the magnitude of the force between two charges, you can use Coulomb's Law, which is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. Given the electric potential energy, you can rearrange the formula to solve for the force. The distance between the charges is needed to find the magnitude of the force.
Step-by-step explanation:
The magnitude of the force between two charges can be calculated using Coulomb's Law, which states that the force between two charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them. The formula for Coulomb's Law is:
F = k * |q1 * q2| / r^2
Where F is the force, k is the electrostatic constant (9 x 10^9 Nm^2/C^2), q1 and q2 are the magnitudes of the charges, and r is the distance between the charges.
In this case, we are given the electric potential energy and we need to find the magnitude of the force. The electric potential energy is related to the charges and the distance by the equation:
PE = k * |q1 * q2| / r
By rearranging this equation, we can solve for the force:
F = PE / r
Substituting the given values, we have:
F = 74.0 μJ / r
To find the magnitude of the force, we need to know the distance between the charges.