14. III A small plastic sphere with a charge of -8.0nC is near another small plastic sphere with a charge of -10.0nC If the spheres repel one another with a force of magnitude 5.6times 10^-4 N, what is the distance between the spheres?

To solve this problem, we can use Coulomb's law, which states that the force between two charged objects is proportional to the product of their charges and inversely proportional to the square of the distance between them.The formula for Coulomb's law is: where:- is the force between the charges (in Newtons)- is the Coulomb constant ( )- and are the charges of the two objects (in Coulombs)- is the distance between the charges (in meters)Given information:- Charge of the first sphere, - Charge of the second sphere, - Force between the spheres, We need to find the distance between the spheres, .Rearranging the Coulomb's law formula to solve for , we get: Substituting the given values: Therefore, the distance between the spheres is approximately or .