Where Is Particle 3 on the Y-Axis Given the Electric Force?

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Homework Help Overview

The problem involves two charged particles located along the x-axis and a third particle on the y-axis. The goal is to determine the position of the third particle based on the electric force it experiences due to the other two particles.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need to visualize the forces acting on the third particle and suggest drawing diagrams to clarify the situation. There are attempts to calculate force components and understand the implications of the forces exerted by the first two particles.

Discussion Status

Some participants have provided guidance on drawing diagrams and understanding force components, while others express confusion about the calculations and the relationship between the forces. There is an ongoing exploration of how to express the net force in terms of the unknown position of the third particle.

Contextual Notes

Participants note the challenge of determining the position of the third particle without complete clarity on the forces involved. There is a recognition that the x-components of the forces cancel out, leaving only the y-component to consider.

  • #31
It's fine, but you really need to learn to use symbols instead of numbers. It's much easier, shorter and neater to write k instead of 9x109, q1 instead of 6x10-9, q3 instead of 2x10-9 and x instead of 0.03. The main reason for this is that it will be much easier to troubleshoot your algebra if something goes wrong. Anyway, now that you have the magnitude of force F1, can you write expressions for its x and y components?
 
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  • #32
kuruman said:
It's fine, but you really need to learn to use symbols instead of numbers. It's much easier, shorter and neater to write k instead of 9x109, q1 instead of 6x10-9, q3 instead of 2x10-9 and x instead of 0.03. The main reason for this is that it will be much easier to troubleshoot your algebra if something goes wrong. Anyway, now that you have the magnitude of force F1, can you write expressions for its x and y components?

To write expressions for the x and y components, would I just move the y to the left hand side and get the expression for just y, and then do the same for x?
 
  • #33
I am not sure I understand what you are asking, but you need to end up with a right triangle in which F1 is the hypotenuse, F1x is the horizontal right side and F1y is the vertical right side. Perhaps you can show me a picture before you proceed further.
 
  • #34
boxybrownmd said:
To write expressions for the x and y components, would I just move the y to the left hand side and get the expression for just y, and then do the same for x?
You might find it easier if you put in a variable for the angle the electrostatic force makes to the x axis, θ say.
In terms of that, what is the component of the force along the y axis?
 
Last edited:

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