Analyzing Forces & Electrons: Free Body Diagram

AI Thread Summary
The discussion revolves around analyzing the forces acting on two small insulating objects that are charged and hung from strings. The objects, each with a mass of 0.0076 kg, come to equilibrium at a distance of 0.72 m apart after being rubbed together. Participants are asked to verify the calculations related to the free body diagram and the forces involved, including tension and gravitational force. The equations provided include the force of attraction and the relationship between tension and mass. The thread emphasizes the importance of accurately applying the physics principles to determine the number of electrons transferred during the charging process.
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Hi i am posting this to double check my work. Please help and feel free to ask any questions. I posted a picture of my work and what i currently have.

1. Homework Statement

Two small insulating objects are hung from strings attached to the ceiling. The masses of each object is 0.0076 kg. The strings are .50 m long and the points where they attach to the ceiling are separated by 1.0 m. The objects are made of different materials. They are rubbed against each other allowing charge to transfer between them. Then, with the objects held so the strings are vertical they release.They pull together and come to equilibrium separated by .72 m.
Analyze the situation using a free body diagram. Use the relation established from your analysis to determine the number of electrons that were transferred from one objects to the other when they were rubbed together. Note, to obtain the numerical result requires the values of coulombs constant, k, the acceleration of gravity,g, and the electron charge, e.

Homework Equations


F=(K*q1*q2)/r2
T=Tension in string
T*cos=mg
T*sin(thetha)=F(Force of attraction)
f=mg*tan

The Attempt at a Solution


See image below[/B]
 

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Hi Ace, ##\qquad## :welcome: ##\qquad## !

I need a lot of enlargement, but then I see ##F = mg \tan\theta = ## followed by ##m## and by ##g## only ... :rolleyes:
 
Hi, thanks for taking time and viewing thread. Your are right, i must have forgot about it thanks.
 
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