Question

Find the distance between two charges according to Coulomb's Law if F = 560 N, Q₁=2.8×10⁻⁵ C, and Q₂=3.1×10⁻⁷ C.

Express your answer with the appropriate units.

Answer 1

The distance between the charges according to Coulomb's Law is approximately 0.0246 meters.

Step-by-step explanation:

To find the distance between two charges according to Coulomb's Law, we can use the formula:

r = sqrt(k * |Q₁ * Q₂| / F)

where r is the distance between the charges, k is the Coulomb's constant (8.99 x 10^9 Nm²/C²), Q₁ and Q₂ are the magnitudes of the charges, and F is the magnitude of the force.

Plugging in the given values, we get:

r = sqrt((8.99 x 10^9 Nm²/C² * |2.8 x 10^-5 C * 3.1 x 10^-7 C|) / 560 N) = 0.0246 meters.

So, the distance between the charges is approximately 0.0246 meters.