Two small nonconducting spheres have a total charge of Q=Q1+Q2= 90.0 μC , Q1<Q2. When placed 31.0 cm apart, the force each exerts on the other is 13.0 N and is repulsive.
Part A: What is the charge Q1?
Part B: What is the charge Q2?
Part C: What would Q1 be if the force were attractive?
Part D: What would Q2 be if the force were attractive?
Given,
Q1 + Q2 = 90
Q2 = 90 - Q1
Force, F = KQ1 Q2/r^2
13 = (9 x 10^9) Q1 x (90 - Q1) * 10^-12 / 0.31^2
- Q1^2 + 90 Q1 - 138.81 = 0
Q1 = 1.57 uC
Q2 = 88.43 uC
C)
Q1 = 90 + Q2
13 = (9 x 10^9) ( 90 + Q2) Q2 *10^-12 / 0.31^2
Q2^2 + 90 Q2 - 1 38.81 = 0
Q1 = 1.52 uC
Q2 = - 91.52 uC
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Two small nonconducting spheres have a total charge of Q=Q1+Q2= 90.0 μC , Q1<Q2. When placed...
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