Answer:
F = 2.52 x 10^-3 N
Step by step explanation:
The magnitude of the electric force between two point charges can be calculated using Coulomb's law, which states that the force is directly proportional to the product of the 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 Coulomb's constant (8.99 x 10^9 N·m^2/C^2), q1 and q2 are the charges of the two objects in Coulombs, and r is the distance between their centers in meters.
Substituting the given values, we get:
F = (8.99 x 10^9 N·m^2/C^2) * [(15 x 10^-8 C) * (7 x 10^-7 C)] / (0.5 m)^2
Simplifying the expression, we get:
F = 2.52 x 10^-3 N
Therefore, the magnitude of the electric force between the two charged balloons is 2.52 x 10^-3 N