Question Detail
Question
A -2.3x10-6 C charge exerts a repulsive force of magnitude 0.35 N on an unknown charge 0.20 m away. What are the magnitude and polarity of the unknown charge?
Correct Answer
Option A is the correct answer.
Detailed Explanation
F = k q1 q2 / r2 => q2 = F r2/(k q1) = (0.35)(0.20)2 / [(9x109)(2.3x10-6)] = (0.35)(0.04)/(20700) = 0.014/20700 = 6.76x10-7 C. Since the force is REPULSIVE and the known charge is negative, the unknown charge must also be negative.
Hint
F = k q1 q2 / r2 => q2 = F r2/(k q1) = (0.35)(0.20)2 / [(9x109)(2.3x10-6)] = (0.35)(0.04)/(20700) = 0.014/20700 = 6.76x10-7 C.