Quantifying Energy in an Electron-Proton System

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SUMMARY

The discussion focuses on calculating the kinetic and potential energy of an electron-proton system, specifically at a distance of 5.29 x 10^-11 m. The kinetic energy of the electron can be derived from its orbital motion, while the potential energy is primarily electric potential energy, as gravitational forces are negligible at this scale. The minimum energy required to separate the two charges to infinity is also addressed, confirming that electric potential energy is the only relevant form in this context.

PREREQUISITES
  • Understanding of classical mechanics and orbital motion
  • Familiarity with electric potential energy calculations
  • Knowledge of Coulomb's law for electric forces
  • Basic grasp of energy conservation principles
NEXT STEPS
  • Calculate the kinetic energy of an electron using the formula KE = (1/2)mv²
  • Explore electric potential energy using the formula U = k(q₁q₂)/r
  • Investigate the concept of energy required to separate charges in electrostatics
  • Review the implications of gravitational forces in atomic-scale interactions
USEFUL FOR

Students in physics, particularly those studying electromagnetism and atomic structure, as well as educators seeking to clarify concepts related to energy in charged particle systems.

arkofnoah
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Homework Statement


An electron orbits a stationary proton at a distance of 5.29 x 10^-11 m.
(i) What is the kinetic energy of the electron?
(ii) What is the potential energy of the whole system?
(iii) What is the minimum amount of energy needed to separate the two charges to infinity?

Homework Equations





The Attempt at a Solution


Just a simple question:
(ii) In this system are there any other forms of potential energy other than the electric potential energy?
 
Last edited:
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I don't think so, since gravity is really weak compared to electric force, and the distance given is way out of range of the nuclear forces.
 
okay thanks. just wanted to be sure :smile:
 

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