Gravitational potential energy formulas

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SUMMARY

The discussion clarifies the equivalence of the gravitational potential energy formulas mgh and (GMm)/r. Professor Richard Muller emphasizes that mgh is applicable under the assumption of constant gravity, suitable for local physics, while (GMm)/r accounts for the inverse square law of gravity, relevant at greater distances from Earth's center. The zero point of potential energy differs between the two equations: mgh is defined at h = 0, whereas (GMm)/r is defined at r = infinity.

PREREQUISITES
  • Understanding of gravitational potential energy concepts
  • Familiarity with the equations of motion in physics
  • Knowledge of the inverse square law of gravitation
  • Basic principles of classical mechanics
NEXT STEPS
  • Research the implications of constant gravity in local physics scenarios
  • Study the inverse square law of gravitation in detail
  • Explore the concept of potential energy zero points in various contexts
  • Examine real-world applications of gravitational potential energy formulas
USEFUL FOR

Students of physics, educators teaching gravitational concepts, and professionals in engineering fields requiring a solid understanding of gravitational potential energy.

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m.g.h = (GMm)/r how can we prove that mgh is potential energy and both equal to that?
 
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You kind of have to watch out. when you use U = mgh, your zero of potential energy is at h = 0.

when you use the other equation, the zero of potential energy is at r = infinity.

m gh is based on a constant gravity (or flat Earth assumption) good for local physics

the other equation is based on a inverse square gravity. good when far from Earth center.
 

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