A cube has an edge length of 2.0m. At each corner there is a different spherical mass. The masses are 1kg, 2kg, 3kg, 4kg, etc. u to 8kg. They Coordinate system: 1kg is at the origin and the 4kg, 2kg, and 8kg masses lie on the positive x, y, and z axis respectively. What is the net gravitational force acting on the 1kg mass? (magnitude and direction)
(I know I don't have an image, but it won't let me insert one and at the point I'm at, I think I'm past needing the image)
To find the force each mass is putting on the 1kg mass, I used equation:
F = G m1m2/r2
where G is 6.67 * 10-11 and r is the distance between 2 objects.
I substituted 1 for m1 and 2 for r, coming up with simplified equation:
F = (6.67*10-11) (m2) / 4
The Attempt at a Solution
I used that equation to find the x, y, and z components of every force.
I then added to find [tex]\Sigma[/tex]x, [tex]\Sigma[/tex]y, and [tex]\Sigma[/tex]z.
[tex]\Sigma[/tex]x = 3.0015 * 10-10
[tex]\Sigma[/tex]y = 2.668 * 10-10
[tex]\Sigma[/tex]z = 4.3355 * 10-10
My question is, what do I do now to find the total magnitude of the force?
Once I get that, how do I find the angle / direction of the force?
If I were to use the 3-d distance equation, how would I find the angle?
I'm completely stuck, so any help is greatly appreciated!
Thanks so much guys, this is my first day on the site so I don't quite know what I'm doing!! (: