## anonymous 4 years ago The figure shows four electrical charges located at the corners of a rectangle. Like charges, you will recall, repel each other while opposite charges attract. Charge B exerts a repulsive force (directly away from B) on charge A of 3.0 N. Charge C exerts an attractive force (directly toward C) on charge A of 6.0 N. Finally, charge D exerts an attractive force of 2.0 N on charge A. Assuming that forces are vectors, what is the magnitude of the net force F exerted on charge A?

1. anonymous

this is the figure

2. anonymous

Do you actually want me to solve the problem, or are you just looking for a hint? I can do both, but the former will take me some time to write it all down and post it.

3. anonymous

Alright, I'll do it out. Give me some time, though.

4. anonymous

Ugh, actually, I wish I could just scan my handwriting. :c This is the most annoying thing to type. Generally, though, decompose every vector force acting on charge A into its x and y components. To do this, we are given the distance between the charges. With right triangles, we can use trigonometry to find the component values. Find every component x vector acting on A and add them. The same for y. Find the final force vector by doing simple vector addition. I'm not willing to type out the work. Sorry.

5. TuringTest

|dw:1329636367752:dw|you really only need to break up one vector: the one at an angle the angle can be found using the sides of the rectangle $F_x=2\cos\theta$$F_y=2\sin\theta$the other vectors are already entirely in either the x or y, so add it all up to find your resultant vector components, as said by badreferences