How Do You Calculate the Charges on Two Spheres in Electrostatic Equilibrium?

krnaudio
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Electrostatic forces helpp!

Homework Statement


Two spheres, each having a mass of 50.0 mg, are suspended from a common point by massless threads 50.0 cm long. One of the spheres have been given a charge twice that of the other. The strings make an angle of 6.00 degrees.
What are the charges on each of the spheres?


Homework Equations


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


The Attempt at a Solution



Since the lengths of the strings on both sides are 50 cm, I drew an imaginary line between the two spheres. I found out that the other two angles had to be 87 degrees because both of the sides were equal. Then, I used law of cosines to find that the length between the spheres is 27.4 cm, which would be r in the equation. I also know that either q1 = 2q2 or q2 = 2q1, but I do not understand how I am supposed to use the masses of the spheres to find out the charge. Is there an equation that I'm missing here??
 
on Phys.org
Welcome to PF!

krnaudio said:

Homework Statement


Two spheres, each having a mass of 50.0 mg, are suspended from a common point by massless threads 50.0 cm long. One of the spheres have been given a charge twice that of the other. The strings make an angle of 6.00 degrees.
What are the charges on each of the spheres?

Hi krnaudio ! Welcome to PF! :smile:

There are three forces on each sphere … tension, gravity, and electric …

so make the vector sum zero (or draw a vector triangle ) :wink:
 

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