Answer:
0.51 m
Explanation:
From the question,
Applying coulomb's law,
F = kqq'/r²....................... Equation 1
Where F = Electrostatic force, q = magnitude of the first charge, q' = magnitude of the second charge, r = distance between the two charges, k = coulombs constant
making r the subject of the equation
F×r² = kqq'
r² = kqq'/F
r = √(kqq'/F).................. Equation 2
Given: F = 4.2×10⁻⁴N, q = q' = 1.1×10⁻⁷C, k = 9×10⁹ Nm²/C²
Substitute these values into equation 2
r = √(9×10⁹×1.1×10⁻⁷×1.1×10⁻⁷/4.2×10⁻⁴)
r = √(1.1×1.1×9/4.2)(10⁹×10⁻⁷×10⁻⁷×10⁴)]
r = √(2.59×10⁻¹)
r = √(0.259)
r = 0.508
r ≈ 0.51 m
