A charge q1= 5.00 nC is placed at the origin of an xy-coordinate system, and a c

Question

A charge q1= 5.00 nC is placed at the origin of an xy-coordinate system, and a charge q2= -2.00 nC is placed on the positive axis at x= 4.00 cm.

a) If a third charge q3= 2.00 nC is now placed at the point x= 4.00 cm, y=3.00 cm find the and components of the total force exerted on this charge by the other two charges.

Fx = ?

Fy =?

Fnet = ?

b) Find the direction of the force, the angle (below the + x-axis).

P. S. I got "0" as my magnitude, X component and Y component for Vector of q1. I got 11237.5 N/C as my magnitude, 11237.5 as my X component and 0 as my Y-component for q2. I got 7192 N/C as my magnitude, 5753.59 as my X component and 4315.21 as my Y component for q3.

All of my answers are incorrect, and I am uncertain where I went wrong.

I would ask my professor if I could make it to her office hours, but unfortunately I can't.

I will give 5 stars who can show me how to calculate the correct answer, and possibly point out where I went wrong. I really want to master this, so I greatly appreciate your help. NOTE: My professor worked a similar problem in class, but I spent an hour working this problem out and did not get the right solution. I know I'm supposed to find each of the individual vectors, and then used their X and Y components to find the resultant vector. However, the fact that one charge is at the origin, and another has no Y component must have messed up my calculations. I was also careful to change units from nC and cm into C and m. I will greatly appreciate any explanation you can offer!!!

Explanation / Answer

PLEASE RATE ME AND AWARD ME KARMA POINTS IF IT IS HELPFUL FOR YOU A force vector can be expressed in two dimensions on the (x, y) plane. For example, imagine the surface of a table top to be an (x, y) plane. Objects can be pushed across this table surface in several different directions, not just parallel to the length or width of the table. Objects can be pushed across a table top at a slanted direction relative to the edges of the table top. In the animation below we see several different directions in which you could push an object across a table top, or the several directions one can apply a force to an object on an (x, y) plane. The object being pushed is the green disk, and the force vector is the black arrow: Force vectors like the one shown above are said to be two dimensional force vectors. You can think of them as forces that have a part that pushes right or left, and that have another part that pushes up or down. These parts of the force are called the components of the force. The component that pushes right or left is called the x-component, and the part that pushes up or down is called the y-component. Force components and shadows Mathematically, the components act like shadows of the force vector on the coordinate axes. In the picture directly below we see a force vector on the (x, y) plane. The force vector is white, the x-axis is red, the y-axis is green, the origin is white. It is common to position force vectors like this with their tails at the origin. The light in this picture is shining directly into the (x, y) plane, and we see no shadows from this view. For our purposes here the axes and vector are drawn unusually wide; they are normally drawn as thin lines in diagrams. Right below is the same scene from another viewpoint. The light is now shining directly from above. Note the shadow of the vector on the x-axis. This shadow represents the x-component of the force vector. Next, below, we have the same situation except the direction of the light has changed. The light now is shining from the right, straight down the x-axis. A shadow of the force vector can be seen on the y-axis. This shadow, mathematically, is the y-component of the force vector. Force vector component diagrams We are back to a flat surface diagram below; it shows how these components can be drawn. The black vector is the two dimensional force vector, labeled F. The red vector is the x-component of the force vector, labeled Fx. It would be pronounced 'F sub x'. Since 'x' is actually a subscript, this notation usually looks like this: However, in Zona Land Education the subscript's position is often implied, as here, hopefully without any loss of meaning. The green vector is the y-component of the force vector, labeled Fy, pronounced 'F sub y'. The components of the force vector can also be arranged this way, forming a right triangle: Force vector component mathematics If we know the size of the two dimensional force vector, the black one in the above diagram, and the angle it makes with the x-axis, then we can use right triangle trigonometry to find the values for the components. In the following diagram 'A' is the angle that the two dimensional force vector makes with the x-axis. Using right triangle trigonometry, Fx is adjacent to angle A, Fy is opposite to angle A, and F is the hypotenuse, as: Unusual diagram The above diagram shows how the trigonometry is usually presented - the cosine function is associated with the x-component and the sine function is associated with the y-component. However, it is not the only way to think about it. The following is a legimate vector diagram for this force vector, but the x-component is calculated wit

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