Speed of Electrons: 1.13*10^6 m/s

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Homework Help Overview

The problem involves two electrons released from rest and separated by a distance, with the goal of determining their speed when they are far apart. The context is rooted in concepts of electric potential energy and kinetic energy.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the conversion of electric potential energy to kinetic energy as the electrons move apart. There are questions regarding the appropriate formulas to use and considerations for relativistic effects if speeds approach that of light.

Discussion Status

Some participants have provided insights into the energy transformations involved and the need for relativistic considerations. Multiple interpretations of the problem's parameters are being explored, particularly regarding the definition of "large distance."

Contextual Notes

There is a lack of specific equations provided by the original poster, and assumptions about the nature of the distance referred to as "large" are under discussion. The mention of the elementary charge of the electron is noted as relevant for calculating electric potential energy.

huntingrdr
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Homework Statement



Two electrons separated by 2*10^(-10)m are released from rest. What is the speed of each electron when they are a large distance apart. (Both electrons will have the same speed.) The answer should be 1.13*10^(6)m/s.

Homework Equations



none

The Attempt at a Solution



I am not sure what formula to use. If I were given kinetic energy I think I could figure this one out, but can't with the info given. Any help on where to start?
 
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The relevant equations are the equations for electrical potential energy and kinetic energy.
At a large distance apart, all of the potential energy stored at the start (when the e- are separated by 2*10^(-10) m) have been converted to kinetic energy.
 
Some large distance probably refers to infinite. Find the initial energy of the system, which would be the electric potential energy, U. At infinite, U would mostly convert to kinetic energy, K.

If your answer exceeds the speed of light (or comes considerably close), you might want to add relativistic adjustments.
 
Yes. I had forgotten to mention relativistic adjustments as well. Also keep in mind that the electron has an elementary charge (this will be useful when determining the electric potential energy.)
 

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