Two Electrons and Distance Equation

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To find the distance between two electrons where the electrostatic force cancels the gravitational force, the relevant equations are F=Eq for electric force and F=ma for gravitational force. The gravitational force acting on the first electron is equal to its mass multiplied by the acceleration due to gravity (F=mg). The electrostatic force can be calculated using Coulomb's law (F=kq1q2/r^2). By equating the two forces and solving for the distance r, one can find the required separation between the electrons. This problem requires substituting known values and performing calculations to arrive at the solution.
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An electron (mass of 9.110×10-31kg and charge of -1.602×10-19C) is released at rest above the surface of the Earth (where g = 9.81 m/s2). A second electron directly below it exerts an electrostatic force on the first electron that exactly cancels the gravitational force. What is the distance between the two?

Homework Equations


F=Eq
F=ma
F=kq1q2/r^2

The Attempt at a Solution


I honestly don't know at all how to solve this. If someone could explain to me how and maybe show me the initial steps, that would be great!
 
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We aren't supposed to help before you make an attempt.
But I can give you a little hint. Just write the obvious:
force of gravity = electric force
Then look for the formula for each side of the equation and write the next step in formulas. Solve for the quantity you want to find. Put in the numbers and run it through your calculator.
 

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