Law of universal gravitation on three objects

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SUMMARY

The discussion centers on calculating the net gravitational force acting on the third sphere in a triangular arrangement of three 10kg spheres, each positioned 1.0m apart. The gravitational force is determined using the formula F=G(m1*m2)/r², where G is the gravitational constant. Participants emphasize the necessity of considering the forces exerted by both the first and second spheres on the third sphere, noting that these forces should be added linearly to find the net force. This problem serves as a practical application of Newton's law of universal gravitation in a multi-body system.

PREREQUISITES
  • Understanding of Newton's law of universal gravitation
  • Familiarity with the gravitational constant (G)
  • Basic knowledge of vector addition
  • Ability to perform calculations involving mass and distance
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  • Learn about vector addition in physics
  • Explore the implications of gravitational force on motion
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Students studying physics, educators teaching gravitational concepts, and anyone interested in understanding the applications of Newton's law of universal gravitation in real-world scenarios.

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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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