How Do Electron and Positron Speeds Relate to Their Charge and Separation?

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SUMMARY

The discussion focuses on calculating the speeds of an electron and a positron revolving around their common center of mass due to their attractive Coulomb force. The relevant equation is F = k * q1 * q2 / r², where k is Coulomb's constant, e is the charge, m is the mass, and r is the separation distance. The participants suggest using centripetal acceleration to derive the speeds of the particles in terms of the given variables.

PREREQUISITES
  • Understanding of Coulomb's Law and its application in particle interactions.
  • Knowledge of centripetal acceleration and its role in circular motion.
  • Familiarity with the concept of center of mass in a two-body system.
  • Basic proficiency in algebra and physics equations involving forces and motion.
NEXT STEPS
  • Study the derivation of centripetal acceleration and its formulas.
  • Explore the implications of Coulomb's Law in particle physics.
  • Learn about the concept of center of mass in multi-particle systems.
  • Investigate the relationship between charge, mass, and force in electromagnetic interactions.
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism and particle dynamics, as well as educators seeking to clarify concepts related to Coulomb forces and motion in two-body systems.

nns91
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Homework Statement



An electron (charge -e, mass m) and a positron (charge +e, mass m) revolve around their common center of mass under the influence of their attractive coulomb force. Find the speed of each particle v in terms of e, m, k and their separation r ?

Homework Equations



F= kq1q2/ r^2

The Attempt at a Solution



Can you guys give me a hint on this one ? Should I find the angular speed then ?
 
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Hi nns91! :smile:

Hint: use centripetal acceleration :wink:
 

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