Gravitational Potential Energy of a particle

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SUMMARY

The discussion centers on calculating the change in gravitational potential energy (U) for a system of four particles, each with a mass of 60.0 g, arranged in a square. The initial edge length is 0.700 m, and it is reduced to 0.100 m. The gravitational potential energy is calculated using the formula U = -GMm/r. The participant initially calculated U for both configurations, obtaining U_1 = -6.45898846e-12 and U_2 = -2.60012192e-11, leading to a change in potential energy (ΔU) of 1.95422308e-11, which was later confirmed as correct.

PREREQUISITES
  • Understanding of gravitational potential energy and the formula U = -GMm/r
  • Basic knowledge of mass and distance in gravitational systems
  • Familiarity with unit conversions, particularly grams to kilograms
  • Ability to perform calculations involving scientific notation
NEXT STEPS
  • Study the implications of gravitational potential energy in multi-particle systems
  • Explore the concept of gravitational forces and their calculations
  • Learn about the significance of the gravitational constant (G) in physics
  • Investigate potential energy changes in different configurations of mass distributions
USEFUL FOR

Students in physics, particularly those studying mechanics, as well as educators and anyone interested in understanding gravitational interactions in multi-body systems.

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Homework Statement


Four particles, each of mass 60.0 g, form a square with an edge length of d = 0.700 m. If d is reduced to 0.100 m, what is the change in the gravitational potential energy of the four-particle system?

Homework Equations


U = -GMm/r

The Attempt at a Solution


I found the U of the system when d = 0.700 m and then I found the U when d = 0.100 m. Using those two values, I found what I believe to be the change in the U of the system. However, I keep getting the wrong answer.

U_1=-6.45898846e-12
U_2=-2.60012192e-11
(delta)U=1.95422308e-11
 
Last edited:
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Nevermind, I figured it out.
 
Last edited:

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