The electric force between two charges can be calculated using Coulomb's law:
F = k * (|q1| * |q2|) / r^2
where F is the electric force, k is the electrostatic constant (k = 8.99 × 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:
|q1| = 2.3 × 10^-5 C
|q2| = 4.7 × 10^-5 C
r = 0.58 m
Substituting the values into Coulomb's law, we have:
F = (8.99 × 10^9 N m^2/C^2) * (|2.3 × 10^-5 C| * |4.7 × 10^-5 C|) / (0.58 m)^2
Calculating this expression, we find:
F ≈ 2.89 N
Therefore, the electric force between the two charges is approximately 2.89 N. The correct option is B. 2.89 N.
I hope this helps! :)
