Net Force on Center Charge of Four Point Charges

[surferdud3]

Homework Statement

Four charges Aq,Bq,Cq, and Dq (q = 2.50 x 10-07C) sit in a plane at the corners of a square whose sides have length d = 69.5 cm, as shown in the diagram below. A charge, Eq, is placed at the origin at the center of the square.

DATA: A = 2, B = 8, C = 5, D = 4, E = -4. Consider the charge at the center of the square. What is the x-component of the net force on this charge?

Homework Equations

How do we set this up?

The Attempt at a Solution

We have found the charges of each of the electrons using Columns law, and then added the forces of each up and then multiplied it by cos(45deg). Each time we get .1249 N.

 

[member 553083]

We are not sure if this is the correct answer or if we are missing something. Any help would be greatly appreciated!