Two Hanging Spheres: Calculating Electrical Force

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SUMMARY

The discussion focuses on calculating the electrical force between two tiny conducting spheres, each with a mass of 14 grams, suspended by non-conducting threads of 60 cm in length and separated by 6 cm. The formula used is f = m*g*tan(theta), where theta is derived from the geometry of the setup. The calculated angle theta is approximately 2.87 degrees, leading to a force of 393.61 N. The participant expresses uncertainty about the accuracy of their angle calculations but ultimately resolves their confusion.

PREREQUISITES
  • Understanding of basic physics concepts such as force, mass, and gravitational acceleration.
  • Familiarity with trigonometric functions, particularly tangent and inverse tangent.
  • Knowledge of the principles of electrostatics and the behavior of conducting spheres.
  • Ability to perform calculations involving angles and forces in a physics context.
NEXT STEPS
  • Study the principles of electrostatics, focusing on Coulomb's Law for calculating electrical forces.
  • Learn about the geometry of forces in equilibrium, particularly in systems involving angles and tension.
  • Explore advanced trigonometric applications in physics, including the use of sine and cosine in force calculations.
  • Practice solving similar problems involving multiple forces and angles to enhance problem-solving skills.
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the calculations involved in electrostatic forces and the application of trigonometry in physics problems.

Bryon
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Homework Statement


Two tiny conducting spheres with a mass of 14 gm each are hanging from non-conducting threads of length 60 cm such that they are 6 cm apart. What is the electrical force between the spheres?


Homework Equations



f = m*g*tan(theta)

The Attempt at a Solution



0.6^2 - 0.03^2 = length y = 0.599249531

theta = tan^-1(0.03/0.599249531) = 2.865983 degrees

F = 14*9.81*2.865983 = 393.6142N

Which does not seem right to me. I think I messed up the angles but no entirely sure.
 
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