Electrical Energy Electron Question

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Homework Help Overview

The problem involves two electrons being fired directly at each other at a high speed, with the goal of calculating the smallest possible distance between them. The context is within the subject area of electrostatics and energy conservation in physics.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the application of energy conservation principles, questioning how to account for the motion of both electrons. There is an exploration of symmetry in the problem, with suggestions to consider the energy of one electron relative to a stationary midpoint.

Discussion Status

The discussion is ongoing, with participants providing clarifications about the symmetry of the situation and how to approach the calculation of potential energy. There is a recognition of the complexity of the formulas involved, and some guidance has been offered regarding the reference point for measuring distances.

Contextual Notes

Participants express confusion regarding the application of formulas and the concept of symmetry in the context of moving charges. The discussion reflects the challenges posed by the problem's requirements and the participants' attempts to navigate them.

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Homework Statement


Two electrons are fired at 3.5x10^6 m/s directly at each other

a) calculate the smallest possible distance between the 2 electrons

me=9.1x10^-31 Ve1=3.5x10^6 m/s qe=1.6x10^-19 C

Homework Equations



Em1=Em2


The Attempt at a Solution



Tried using Em1=Em2 which 1/2meve1^2+kqeqe/r1=1/2meve2^2+kqeqe/r2

I can't seem to use that formula because both electrons are moving, instead of one being stationary.
 
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By symmetry, you only need to consider the energy for one electron. What is its initial KE, and what is its PE when a distance x from the midpoint between them?
 
So how would i calculate the distance between them if i could consider one electron?
 
As I said, work relative to the midpoint between them, which, by symmetry, is stationary.
 
that kind of confuses me, sorry but could you elaborate on the symmetry?
 
Let C be the midpoint. When one electron is distance x from it and moving towards it at speed v, the other will be distance x on the other side, also moving towards it at speed v. Each separately satisfies conservation of energy. The only thing to watch is that when you calculate the PE of one you measure distance from the other electron (2x), not from C.
 
Thanks sir! The help is much appreciated, with all the formulas in this unit, questions are quite confusing.
 

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