If two metal balls each have a charge of -10^-6 C and the repulsive force between them is 1 N, how far apart are they? (Coulomb's constant is k=9.0 $\times$10⁹ N^.m²/C².) A) 9.5 m B) 9.0 mm C) 9.5 cm D) 0.9 m

Question

Quizplus · Accepted Answer

The formula for Coulomb's law is:

F = k * (q1 * q2) / r^2

where F is the force, q1 and q2 are the charges, r is the distance between the charges, and k is Coulomb's constant.

We can rearrange the formula to solve for r:

r = sqrt(k * (q1 * q2) / F)

Plugging in the given values:

r = sqrt((9.0 * 10^9 N*m^2/C^2) * ((-10^-6 C) * (-10^-6 C)) / 1 N)

r = 9.5 cm

Therefore, the answer is C) 9.5 cm.

If Two Metal Balls Each Have a Charge of -10-6 ×\times×

If Two Metal Balls Each Have a Charge of -10^-6 $\times$