How far apart are two electrons in an electric field?

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Homework Help Overview

The discussion revolves around the behavior of electrons in an electric field, specifically focusing on their motion and the forces acting on them. The original poster presents two scenarios involving electrons: one where an electron is decelerated by an electric field and another where the electrostatic force between two electrons balances gravitational force.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • The original poster questions the relationship between electric fields and particle velocity, seeking clarity on how to approach the problem of an electron brought to rest in an electric field. They also inquire about using gravitational and electrostatic force equations to determine the distance between two electrons.

Discussion Status

Some participants provide guidance on relating forces and acceleration, suggesting the use of Newton's laws and equations for gravitational and electrostatic forces. However, there is a lack of consensus on how to proceed, particularly regarding the missing information about the radius of the Earth.

Contextual Notes

Participants note that the problem does not provide the radius of the Earth, which may be necessary for solving the second scenario. There is an implication that the original poster is expected to find this information independently.

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1. An electron with a speed of 3.0 x 106 m/s moves into a uniform electric field of 1000 N/C. The field is parallel to the electron's motion. How far does the electron travel before it is brought to rest.

I read the part of the text related to electric fields but I saw nothing that related it to the velocity of particle.

2. An electron is released a short distance above Earth's surface. A second electron directly below it exerts an electrostatic force on the first ele- just great enough to cancel the gravitational force on it. How far below the first electron is the second?

Using Fg = G m1m2/r2 do I use this formula to find out the gravitational force and then set it equal to the electrical force? I'm a little confused on how to approach this.

:-p
Bill
 
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force acting on a charge in a field E is given by F= qE. Use Newtons law to relate the acceleration with this

you know v1, v2, a now find the time

equate the gravitational force between Earth and the electron with the coulomb attraction froce between the electrons and solve for the r

Hint the distance between the electron and the Earth is not the same as the disatnce between the two electrons i guess the ygeave you radius of the Earth didnt they?)
 
No they didn't give me the radius of the earth. I gave you the entire problem.
 
i guess they expect you to find it out

the radius of the eaarth is 6.38 x 10^6 metres
 

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