Final answer:
To determine the magnitude of the electrostatic force between two charged particles, we can use Coulomb's law. The magnitude of the electrostatic force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. In this case, the magnitude of the electrostatic force between the particles is approximately 3.227 x 10¹⁰ N.
Step-by-step explanation:
To determine the magnitude of the electrostatic force between two charged particles, we can use Coulomb's law. Coulomb's law states that the magnitude of the electrostatic 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:
Force = (k * |q1 * q2|) / r²
Where:
- Force is the magnitude of the electrostatic force
- k is the proportionality constant, approximately equal to 8.99 x 10⁹ N * m² / C²
- q1 and q2 are the charges of the particles
- r is the distance between the particles
In this case, we have q1 = -7 C, q2 = 9 C, and r = 9 cm = 0.09 m. Plugging these values into the formula, we get:
Force = (8.99 x 10⁹ N * m^2 / C² * |-7 * 9|) / (0.09)²
Simplifying the expression, we find that the magnitude of the electrostatic force between the particles is approximately 3.227 x 10^10 N.