An object with a charge of +2.07e-5 is placed 6.07 m away from an object with a charge of -4.64e-6.

Find the magnitude of the electric force.

To find the magnitude of the electric force between two charged objects, you can use Coulomb's Law. Coulomb's Law states that the magnitude of the electric force is directly proportional to the product of the two charges 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 magnitude of the electric force
k is the electrostatic constant (k = 8.99e9 N·m^2/C^2)
|q1| and |q2| are the magnitudes of the charges
r is the distance between the charges

Given:
|q1| = 2.07e-5 C (charge of the first object)
|q2| = 4.64e-6 C (charge of the second object)
r = 6.07 m (distance between the charges)

Substituting these values into the formula, we get:

F = (8.99e9 N·m^2/C^2) * ((2.07e-5 C) * (4.64e-6 C)) / (6.07 m)^2

F = (8.99e9 N·m^2/C^2) * (9.5968e-11 C^2) / (36.8449 m^2)

F = 8.1254e-1 N

Therefore, the magnitude of the electric force between the two charged objects is approximately 0.81254 N.