How Do You Calculate the Charges on Two Repelling Particles?

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To calculate the charges on two repelling particles with a total charge of 185 µC and a repulsive force of 80 N, the equation F = k * (q1 * q2) / r^2 is used, where k is the electrostatic constant. The user attempted to solve for the charges by rearranging the formula but encountered issues with the intersection point in their calculations. They questioned the role of the constant k and whether to convert the total charge from microcoulombs. Properly incorporating the constant and converting units is essential for accurate calculations. Clarifying these points will help in determining the individual charges on the particles.
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Homework Statement


Two point particles separated by 0.4 m carry a total charge of 185 µC.
(a) If the two particles repel each other with a force of 80 N, what are the charges on each of the two particles?


Homework Equations


F = k* (q1*q2)/(r^2)


The Attempt at a Solution


I tried using altering the formula so it would be 80 = (185-x)*(x) /(.4^2). I tried putting this in my calculator in which y1 = (185-x)*(x)/(.4^2), y2= 80 yet it tells me it intersects at x = 184.9. Um what did i do wrong? I would appreciate the help :).
 
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Two quick questions: What happened to k? and Shouldn't you do something with that micro coulombs that follows the 185?
 

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