Gravitaional Potential Energy help, please

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SUMMARY

The discussion focuses on calculating the gravitational potential energy of a three-particle system after removing sphere A from a set of four uniform spheres with specified masses and coordinates. The user initially applies the formula for gravitational potential energy, U = -G(m1m2/r12 + m1m3/r13 + ...), and calculates a value of -3.55e-4 J. After receiving feedback that this calculation is incorrect, the user identifies a minor error in their computation and resolves the issue independently.

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  • Proficiency in algebra for manipulating equations and performing calculations
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Students studying physics, particularly those focusing on gravitational forces and potential energy calculations, as well as educators seeking to clarify concepts related to multi-body gravitational interactions.

chemEcook
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Homework Statement


Four uniform spheres, with masses mA = 350 kg, mB = 600 kg, mC = 1500 kg, and mD = 300 kg, have (x, y) coordinates of (0, 50 cm), (0, 0), (-80 cm, 0), and (40 cm, 0), respectively. Sphere A is then removed.
(a) Calculate the gravitational potential energy of the remaining three-particle system.



Homework Equations


U=-Gm1m2/r12-Gm1m3/r13-...


The Attempt at a Solution


U=-G(McMd/Rcd+McMb/Rcb+MbMd/Rbd)
U=-G(1500*300/.12+1500*600/.8+600*300/.4)=-3.55e-4 J
It's telling me this is wrong but I can't see where I'm going wrong. Thanks in advance.
 
Last edited:
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Nevermind. I found my small error. Thanks, anyway.
 

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