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

[kuruman]

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?

 

[boxybrownmd]

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?

 

[kuruman]

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, F_1x is the horizontal right side and F_1y is the vertical right side. Perhaps you can show me a picture before you proceed further.

 

[haruspex]

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?