Law of universal gravitation on three objects

AI Thread Summary
To calculate the net gravitational force on the third sphere in a triangle formation with two other 10kg spheres, the gravitational force formula F=G(m1*m2)/r² is used. The gravitational forces between the third sphere and each of the other two spheres must be calculated separately and then combined linearly. Given that all sides of the triangle are 1.0m, the distances in the formula will reflect this measurement. The discussion emphasizes the importance of considering both forces acting on the third sphere to find the net force. This problem illustrates the application of Newton's law of universal gravitation in a multi-body scenario.
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Homework Statement


Three(3) 10kg spheres form a triangle with the first sphere being at the top, the second sphere being at the bottom right cornern and the third sphere being at the bottom left corner. All sides of the triangle are 1.0m. Calculate the net gravitational force on the 3rd sphere.

Homework Equations



F=G(m1*m2)/r2

To find the gravitational force between two objects you would obviously use the above formula. This one has got me stuck. This is my first post, by the way. I would appreciate any help because this one has got me stuck.
 
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You must add the force due to both of the other masses. Assume that they add linearly.
 
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