Electron held up against force of gravity

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SUMMARY

The discussion revolves around calculating the distance between an electron and a proton when the electron is held against gravity by the electrostatic force. The relevant formula used is Coulomb's Law, F = (K * Q1 * Q2) / R^2, where K is the Coulomb's constant (9 x 10^9 N m²/C²) and Qe is the charge of the electron (1.6 x 10^-19 C). To find the distance R, the gravitational force acting on the electron must be equated to the electrostatic force, leading to the equation F = mg, where m is the mass of the electron.

PREREQUISITES
  • Coulomb's Law and its application in electrostatics
  • Understanding of gravitational force and its formula
  • Basic knowledge of electron properties, including charge and mass
  • Familiarity with constants such as Coulomb's constant and gravitational constant
NEXT STEPS
  • Calculate the gravitational force acting on an electron using F = mg
  • Explore the relationship between electrostatic force and gravitational force
  • Investigate the implications of electrostatic forces in atomic structures
  • Learn about the constants involved in electrostatics and gravitation, including their values and significance
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism and gravitation, as well as educators looking for practical examples of force interactions at the atomic level.

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Homework Statement



an electron is held up against the force of gravity by the attraction of a fixed proton some distance above it. How far above the electron is the proton?

Homework Equations



F= ((K)(Q1)(Q2))/R^2

Qe = 1.6x10^-19

The Attempt at a Solution



Using the formula for Coulombs Law I used the K constant of 9x10^9 and Qe for Q1 and Q2. This is all divided by R^2 (I'm solving for R). The problem is I don't know if there is a gravitational constant for Force or what I'm missing. What's the next step?
 
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Write F = mg where m is the mass of the electron.
 

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