Final answer:
To find the magnitude of the force between two charges, use the formula F = qE, where F is the force, q is the charge, and E is the electric field strength. To find the electric field strength, use the formula V = PE/q, where V is the electric potential, PE is the electric potential energy, and q is the charge. Since the value of the charge is not given, we cannot find the magnitude of the force.
Step-by-step explanation:
To find the magnitude of the force between two charges, we can use the formula F = qE, where F is the force, q is the charge, and E is the electric field strength. In this case, we are given the electric potential energy, but we can use the relationship between electric potential energy and electric potential to find the electric field strength.
The formula for electric potential energy is PE = qV, where PE is the electric potential energy, q is the charge, and V is the electric potential. Rearranging the formula, we have V = PE/q.
Substituting the given values into the formula gives V = (67.0 μJ)/(q), where q is the charge in microcoulombs. From the given information, we don't have the value of the charge, so we cannot solve for the electric field strength and therefore cannot find the magnitude of the force between the two charges.