Final answer:
The distance between two charged particles can be calculated using Coulomb's law formula: d = sqrt((k * (QA * QB)) / F). Plugging in the given values, the distance is 0.045 meters.
Step-by-step explanation:
The distance between two charged particles can be calculated using Coulomb's law formula, which states that the electrostatic force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
Coulomb's law formula: F = k * (QA * QB) / d^2
Here, F is the electrostatic force, QA and QB are the charges of the particles, and d is the distance between them.
By rearranging the formula, we can solve for d:
d = sqrt((k * (QA * QB)) / F)
Plugging in the given values, we get:
d = sqrt((8.99 x 10^9 N·m²/C² * (0.050 C * 0.070 C)) / (2.0 x 10^5 N))
d = 0.045 m (or 45 cm)
Therefore, the distance between the two particles is 0.045 meters.