Gravitational forces and multiple bodies problem

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SUMMARY

The discussion focuses on calculating the net gravitational force on a mass located at (0, 0) due to three other 335 kg spherical masses positioned at (0, 1.50), (1.50, 0), and (1.50, 1.50). The gravitational force formula used is Fg = GMm/r², and the distance from (0, 0) to (1.50, 1.50) is determined to be approximately 2.1213 meters with an angle of 45 degrees. The main challenge discussed is the proper addition of vector components to express the net force in polar notation, which requires both magnitude and angle.

PREREQUISITES
  • Understanding of gravitational force calculations using Fg = GMm/r²
  • Knowledge of vector addition, specifically the tail-tip method
  • Familiarity with polar notation and its components (magnitude and angle)
  • Basic trigonometry for calculating distances and angles
NEXT STEPS
  • Study vector addition techniques in physics, focusing on the tail-tip method
  • Learn how to convert Cartesian coordinates to polar coordinates
  • Explore gravitational force problems involving multiple bodies
  • Review trigonometric functions and their applications in physics
USEFUL FOR

Students in physics, particularly those tackling gravitational force problems, and anyone seeking to understand vector addition in the context of multiple bodies in gravitational fields.

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Homework Statement


Four 335 kg spherical masses are placed on the corners of a square at coordinates (0, 0), (0, 1.50), (1.50, 0) and (1.50, 1.50) where all coordinates are in meters. What is the net gravitational force on the mass at (0, 0) due to the other three masses? Express your answer in polar notation with the angle in degrees.


Homework Equations



Fg=GMm/r^2
A^2+B^2=C^2

The Attempt at a Solution


I worked to find the distance from (0,0) to (1.5,1.5) and it was 2.1213 (using trig), I got that the angle is 45 degrees. But for some reason I am having trouble adding up the vectors to get the correct net force. I understand that we learned the tail-tip concept. The answer space is also only giving me one blank to fill in for the net force, this doesn't make sense to me, because if i am supposed to put the answer in polar notation i should give the vector an x and a y component, right? Any help with this will be greatly appreciated. Thanks!
 
Physics news on Phys.org
With polar notation you specify a magnitude and an angle.
 
Oh yea, you are right! Thanks a bunch! I need to sleep more.
 

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