Two Electrons and Distance Equation

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In summary, an electron with a mass of 9.110×10-31kg and charge of -1.602×10-19C is released at rest above the Earth's surface where g = 9.81 m/s2. The second electron directly below it exerts an electrostatic force that cancels out the gravitational force. The distance between the two can be found by equating the force of gravity to the electric force, using the formulas F=ma and F=kq1q2/r^2, and solving for the distance. This can be done by plugging in the given values and solving for r using a calculator.
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jfkline21
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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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  • #2
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.
 

1. What is "Two Electrons and Distance Equation"?

"Two Electrons and Distance Equation" is a mathematical equation that describes the relationship between the distance between two electrons and the force of attraction or repulsion between them. It is a fundamental concept in the field of electrostatics.

2. What is the significance of "Two Electrons and Distance Equation" in scientific research?

The "Two Electrons and Distance Equation" is essential in understanding the behavior of electrons and their interactions in various systems. It is used in a wide range of fields, including physics, chemistry, and engineering, to study and predict the behavior of charged particles.

3. How is the "Two Electrons and Distance Equation" derived?

The "Two Electrons and Distance Equation" is derived from Coulomb's law, which describes the force between two charged particles. It states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

4. Can the "Two Electrons and Distance Equation" be applied to other charged particles besides electrons?

Yes, the "Two Electrons and Distance Equation" can be applied to any two charged particles, regardless of their charge or mass. It is a universal equation that governs the behavior of charged particles.

5. How is the "Two Electrons and Distance Equation" used in practical applications?

The "Two Electrons and Distance Equation" is used in a variety of practical applications, such as designing electronic circuits, predicting the behavior of atoms and molecules, and understanding the properties of materials. It is also used in the development of new technologies, such as batteries and solar cells.

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