Calculating the initial charge on an object

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SUMMARY

The discussion centers on calculating the initial charge on a neutral metal sphere A after contact with a charged sphere B. The relevant equations include the gravitational force (Tv = Fg), electrostatic force (Th = Fe), and Coulomb's law (K*Qa*Qb/r^2). The calculated charge on sphere B is 4*10^-6 C, but the user encounters discrepancies when inputting this value into their calculator, resulting in an incorrect output of 3.04*10^-5. The user questions whether the distance between the spheres after settling was provided, as it is crucial for accurate calculations.

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Homework Statement


Neutral metal sphere A, of mass 0.10kg hangs from an insulating wire 2.0m long. An identical metal sphere B, with charge -q, is brought into contact with sphere A. The spheres repel and settle(a picture just imagine a right angle triangle with 2 objects A and B at the bottom.) calculate the initial charge on B.

Homework Equations


Tv = Fg
Th = Fe
K*Qa*Qb/r^2

The Attempt at a Solution


Now, I have done the whole process but I just want to know what I am doing wrong with my calculator( we have done it in class) here was the last part of my solution: 16sin^3*12/9*10^9= q^2. OK so the answer was for this question was 4*10^-6 C = q. But everytime I input this in my calculator the answer becomes 0.000030433 or 3.04*10^-5
 
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Did they give you the distance between the two spheres after settling? otherwise your answer would have to be the distance as a function of initial charge
 

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