Electric Force Calculation

Question:

Two point charges produce an electric force on each other of 4.5 mN. Determine the electric force if the charge on both objects triple and the distance between them doubles.

Answer:

Final answer: The electric force will become 9.0 mN when the charge on both objects triple and the distance between them doubles.

Explanation:

To determine the electric force when the charge on both objects tripled and the distance between them doubles, we need to consider the equation for electric force:

Electric force = (k * charge1 * charge2) / distance^2

Since the charge on both objects tripled, the new force would be:

New force = (k * 3Q * 3Q) / (2d)^2 = 9 * (k * Q * Q) / (4 * d^2)

So, the new force is 9 times greater than the original force. Therefore, the correct answer is 9.0 mN (b).