Answer :
Final answer:
The distance between the two charges is approximately 0.321 meters.
Explanation:
We can use Coulomb's law to find the distance between the two charges:
- Force (F) = k * (q1 * q2) / r^2
where:
- F is the force between the charges (N)
- k is the Coulomb constant (approximately 8.99 x 10^9 N * m^2/C^2)
- q1 and q2 are the charges of the first and second point charges (C)
- r is the distance between the charges (m)
We are given the following information:
- F = 87.3 N
- q1 = 99.9 μC (microcoulombs) = 99.9 x 10^-6 C
- q2 = 33.3 μC (microcoulombs) = 33.3 x 10^-6 C
- We need to solve for r.
Steps.
Rearrange the equation for r:
- r^2 = k * (q1 * q2) / F
Plug in the known values and solve for r:
- r^2 = (8.99 x 10^9 N * m^2/C^2) * ((99.9 x 10^-6 C) * (33.3 x 10^-6 C)) / 87.3 N
- r^2 ≈ 0.1028 m^2
- r = √(0.1028 m^2) ≈ 0.321 m
Therefore, the distance between the two charges is approximately 0.321 meters.
