What is the Charge on Each Balloon?

AI Thread Summary
The discussion revolves around calculating the charge on two balloons that are suspended and repelling each other after being rubbed against wool. The balloons are 42 cm apart and form a 60-degree angle with the thread holding them. Initial calculations for gravitational force and electric force yielded a charge of 2.22x10^-13, but the expected answer is 6.67x10^-13. Participants suggest using a diagram for clarity and recommend analyzing the components of forces perpendicular to the thread to simplify the problem. A sketch is considered essential for understanding the setup and ensuring accurate calculations.
Tunamy
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Homework Statement


A typical inflated balloon has a mass of 4g. Two balloons are rubbed against wool, touched together and then suspended by someone holding the thread at its centre. It is found that the ballooons rest so that trheir centres are 42cm apart and that the thread encloses an angle of 60 degrees. Calculate the charge on each balloon.

Homework Equations


F(E)=(k*Q1Q2)/r^2

The Attempt at a Solution


I first did tan30 *9.8*0.004 (Fgravity) and got 0.226N and then I used F(E)=(k*Q1Q2)/r^2 and since Q1=Q2, I got 2.22x10^-13. But apparently the answer says 6.67x10^-13?
 
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Do you have a diagram ?
 
The question did not provide one but I think the two ballons are hanging down at rest and their strings shuld form a 60 degree angle from the place where they areheld
 
Why the tangent?
Best to compare the components perpendicular to the thread.
That eliminates the tension in the thread.
Still a good idea to start with a sketch though.
Few of us can go without such.
 
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