Electric Charges: Balancing Electrostatic & Gravitational Forces

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SUMMARY

The discussion centers on the problem of positioning a second electron to balance the gravitational force acting on a first electron near Earth's surface with the electrostatic force between the two electrons. The gravitational force on the first electron is calculated using the formula F_gravity = m * g, where m is the mass of the electron and g is the acceleration due to gravity (approximately 9.81 m/s²). The electrostatic force is determined using Coulomb's Law, F_electric = k * |q1 * q2| / r², where k is Coulomb's constant, q1 and q2 are the charges of the electrons, and r is the distance between them. The solution requires equating these two forces to find the appropriate distance for the second electron.

PREREQUISITES
  • Understanding of Coulomb's Law and electrostatic forces
  • Knowledge of gravitational force calculations
  • Familiarity with basic physics concepts regarding electrons
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Research the derivation of Coulomb's Law and its applications
  • Study gravitational force calculations in different contexts
  • Explore the concept of electric fields and their effects on charged particles
  • Investigate the implications of electrostatic and gravitational forces in physics problems
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Students studying physics, educators teaching electrostatics and gravitation, and anyone interested in the interactions between charged particles and gravitational forces.

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Homework Statement


An electron is in a vacuum near the surface of the Earth. Where should a second electron be placed so that the electrostatic force it exerts on the first electron balances the gravitational force on the first electron due to Earth ?


Homework Equations





The Attempt at a Solution


 
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satya_narayan said:
An electron is in a vacuum near the surface of the Earth. Where should a second electron be placed so that the electrostatic force it exerts on the first electron balances the gravitational force on the first electron due to Earth ?

Hi satya_narayan! Welcome to PF! :smile:

Show us what you've tried, and where you're stuck, and then we'll know how to help. :smile:
 

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