Gravitational Force of Three Identical Masses Problem

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The problem involves calculating the net gravitational force on a mass at the origin due to two other identical masses positioned at -140 cm and 440 cm on the x-axis. The gravitational force formula F=G(m1m2/r^2) is applicable, but the distances from the origin to each mass differ, leading to a nonzero net force. There is confusion regarding vector addition and ensuring that the final answer is expressed in Newtons, as a dimensionless result is incorrect. The discussion emphasizes the importance of showing detailed calculations for better assessment and accuracy. Proper computation and consideration of rounding are crucial for obtaining the correct force magnitude.
KWalker015
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Homework Statement


Three identical very dense masses of 8000kg each are placed on the x axis. One mass is at x1 = -140cm , one is at the origin, and one is at x2 = 440cm . What is the magnitude of the net gravitational force Fgrav on the mass at the origin due to the other two masses?
Take the gravitational constant to be G = 6.67×10−11N⋅m2/kg2 .



Homework Equations


F=G(m1m2/r^2)


The Attempt at a Solution


I have tried everything, but Mastering Physics still gives me this message: Although the two masses not at the origin are identical, they are not the same distance from the origin, so there will be a nonzero net force on the mass at the origin. Am I adding the vectors wrong? I got 2.1*10^-3
 
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i think it would be better if you show how you get this number. But I think you are on the right direction when you mention vector addition and the right formula you refer to.
 
Force has dimension. As long as your answer is dimensionless it is going to be wrong.

Assuming the intended unit is Newton, it seems to be in the right ballpark. Did you round your results during computation? It would be much easier to judge if you had posted your work.
 

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