Final answer:
To find the distance between two point charges that have a force of 1.00 N between them, we can use Coulomb's Law.
Step-by-step explanation:
To find the distance between two point charges that have a force of 1.00 N between them, we can use Coulomb's Law. The equation for Coulomb's Law is:
F = k * (q1 * q2) / r^2
where F is the force, k is the electrostatic constant (9 * 10^9 N m^2/C^2), q1 and q2 are the charges, and r is the distance between the charges. Rearranging the equation to solve for r:
r = sqrt((k * (q1 * q2)) / F)
Plugging in the known values into the equation, we have:
r = sqrt((9 * 10^9 N m^2/C^2 * (3.0 C) * (3.0 C)) / (700 N))
simplifying the equation gives:
r = sqrt((27 * 10^9 N m^2/C^2) / (700 N))
r ≈ 1.35 meters