Calculating Charge on Suspended Spheres using Coulomb's Law

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SUMMARY

The discussion focuses on calculating the charge on two identical small spheres suspended in static equilibrium using Coulomb's Law. Each sphere has a mass of 2.0g and is connected by an insulating thread of 0.60m, forming an angle of 30.0 degrees between the string halves. The distance between the spheres is approximately 0.076m. To solve for the charge, participants recommend creating a free body diagram to analyze the forces acting on the spheres, particularly the balance between gravitational force and the electrical force due to the charges.

PREREQUISITES
  • Coulomb's Law for electric force calculations
  • Free body diagram analysis for force equilibrium
  • Basic trigonometry for angle calculations
  • Understanding of static equilibrium principles
NEXT STEPS
  • Study the derivation and application of Coulomb's Law in electrostatics
  • Learn how to construct and interpret free body diagrams
  • Explore static equilibrium conditions in physics
  • Investigate the relationship between gravitational force and electric force in charged objects
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Physics students, educators, and anyone interested in electrostatics and force analysis in charged systems.

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"Two identical small spheres of mass 2.0g are fastened to the ends of an insulating thread of length 0.60m. The spheres are suspended by a hook in the ceiling from the centre of the thread. The spheres are given identical electric charges and hand in static equilibrium, with an angle of 30.0 degrees between the string halves. Calculate the magnitude of the charge on each sphere."

What I've done so far...
The length of each part of string connected to each ball is 0.3m. The distance between the two masses is 0.076 approximately. That's all I can think of... I have the distance and the constant for Coulomb's Law. That still leaves me with two variables... (electrical force and charge). Where do I go from here? TiA
 
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You need to do a free body diagram to identify the forces acting on the charge spheres.
 
You know that the force between the balls is enough to keep them in equilibrium with gravity. Find out how much of the force is needed to cancel out the gravity. With that you can find the force and then the charge.
 

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