Final answer:
To calculate the electric force on object A from object B, we use Coulomb's Law with the given charges and the separation distance, then apply the formula to find the force's magnitude.
Step-by-step explanation:
The question involves calculating the electric force on an object due to another charged object, using Coulomb's Law. Coulomb's law states that the magnitude of the electric force (F) between two point charges is directly proportional to the product of the magnitudes of the charges (q1 and q2), and inversely proportional to the square of the distance (r) between them. The formula is given by F = k * |q1 * q2| / r^2, where k is Coulomb's constant (approximately 8.988 × 10^9 Nm^2/C^2).
To solve for the electric force on object A due to object B, we use their charges +14 nC (or 14 × 10^-9 C) for A and -28 nC (or -28 × 10^-9 C) for B, and the distance of 0.02 m (since 2.0 cm is equivalent to 0.02 m). Upon substituting the values into Coulomb's law, we can calculate the magnitudes of the electric force exerted on object A.
F = k * (|q1| * |q2|) / r^2
F = (9 x 10^9 N*m^2/C^2) * ((14 x 10^-9 C) * (28 x 10^-9 C)) / (0.02 m)^2
F = 22.4 N
Therefore, the magnitude of the electric force on object A is 22.4 N.