Electric Forces; Coloumb's Law question

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Homework Help Overview

The problem involves three negatively charged spheres positioned at the vertices of an equilateral triangle, each with a charge of 4.0 X 10^-6 C and a side length of 0.20 m. The task is to calculate the net electric force acting on each sphere using Coulomb's Law.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of Coulomb's Law and the calculation of forces between the spheres. There is uncertainty regarding the vector nature of forces and how to properly combine them, with some questioning the approach to adding forces acting on each sphere.

Discussion Status

Participants are actively engaging with the problem, exploring the calculations and the vector nature of forces. Guidance has been offered regarding the need to consider forces as vectors, indicating a productive direction in the discussion.

Contextual Notes

There is a noted confusion about the combination of forces and the impact of their directional nature on the overall net force calculation.

fyzikschik
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Homework Statement


three spheres, each with a negative charge of 4.0 X 10^-6 C, are at the vertices of an equilateral triangle whose sides are 0.20m long. Calculate the magnitude and direction of the net electric force on each sphere.


Homework Equations



Fe= kq1q2/r^2, where k is the constant, k=9.0 X 10^9 N*m^2/C^2

The Attempt at a Solution



i plugged in the values..but I don't seem to be getting the answer. There are 2 forces acting on each of the spheres, right? the answer is 6.2N
 
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Saying "I plugged in" is not telling us what you did. Yes there are two forces acting on each charge. How are they acting? How did you combine them?
 
since Fe=kq1q2/r^2
Fe= k*(4.0 X 10^-6C)^2/ (0.20m)^2
Fe= 3.6N


how are they acting? they are supposed to repel each other, but i don't understand how that would affect the magnitude of the force. To combine them, i think i have to add 3.6N + 3.6N..but that isn't working. What do you think?
 
fyzikschik said:
since Fe=kq1q2/r^2
Fe= k*(4.0 X 10^-6C)^2/ (0.20m)^2
Fe= 3.6N


how are they acting? they are supposed to repel each other, but i don't understand how that would affect the magnitude of the force. To combine them, i think i have to add 3.6N + 3.6N..but that isn't working. What do you think?

I think you need to remember that forces are vectors and need to be added as directional quantities. I did not check your numerical calculation, but I expect the vector addition is your problem.
 

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