Gravitational Problem Homework: Solving for Force & Direction | M0, G, r^2

[Ajax45]

Homework Statement

Homework Equations

Gravitational problem. Fg = M1M2(G) / r^2

G = 6.67e-11

The Attempt at a Solution

Furthest I got was setting up the equation Fg = (M0)(2M0)(G) / r^2

I'm quite lost in this topic and would appreciate some help.

I need to find both the magnitude and direction of the force on M.

M0 is the mass of the object and x and y are the distances between M and the objects.

There is a right angle between x and y.

I would appreciate any help. Thanks!

 

[NascentOxygen]

Hi Ajax45. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

You determine the force on M due to M₀, this acts to the LEFT.

You determine the force on M due to M₁, this acts downwards and to the left at some angle (you know the sides of a triangle there, so you can express the angle in terms of tan.)

You then sum those two forces as vectors.