Answer:
To find the magnitude of the force between the charges, we can use Coulomb's Law:
\(F = k \cdot \frac{{|q_1 \cdot q_2|}}{{r^2}}\),
where:
- \(F\) is the force,
- \(k\) is Coulomb's constant (\(8.99 \times 10^9 \, N \cdot m^2/C^2\)),
- \(q_1\) and \(q_2\) are the charges,
- \(r\) is the distance between the charges.
Plugging in the values:
\(F = (8.99 \times 10^9 \, N \cdot m^2/C^2) \cdot \frac{{|(-4 \times 10^{-9} C) \cdot (3 \times 10^{-9} C)|}}{{(0.03 \, m)^2}\).
Calculate the magnitude of the force using this formula. The direction of the force will be attractive due to the opposite signs of the charges.