Potential difference vs Potential energy

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SUMMARY

The discussion emphasizes the distinction between gravitational potential energy and potential difference, highlighting that only changes in potential energy (ΔPE) have physical significance. It is established that the reference point for potential energy can vary, yet the change in potential energy when moving a mass from one height to another remains constant, calculated as mgΔh. The conversation also notes that gravitational potential is inherently negative, with variations indicating relative heights rather than absolute values.

PREREQUISITES
  • Understanding of gravitational potential energy concepts
  • Familiarity with the formula for potential energy (PE = mgh)
  • Knowledge of reference points in physics
  • Basic grasp of gravitational forces and their effects
NEXT STEPS
  • Study the implications of reference points in gravitational potential energy calculations
  • Explore the concept of potential difference in electric fields
  • Learn about the relationship between work done and changes in potential energy
  • Investigate real-world applications of potential energy in engineering and physics
USEFUL FOR

Students of physics, educators explaining energy concepts, and anyone interested in the principles of gravitational forces and potential energy dynamics.

Tommy1995
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G'day!
I was looking over my notes about gravitational potential energy and I came across the graphs that I drew in class of the gravitational potential energy of a mass with reference point at infinity compared with the potential energy of a mass with reference point at the surface of the earth. They had totally different potential energies, one was negative, the other was positive. And then I jotted down a little side note saying, "potential difference is important, not potential energy". School isn't until another 6 weeks so could someone please help me justify why its more important to observe a mass' potential difference rather than its potential energy? I sort of have the idea in my head but I just can't express it in words...
 
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The point being made is that only changes in potential energy (from one point to another) have physical significance. The particular value you may assign at some location depends on where you choose your reference point, but the change in PE when going from point A to point B does not.

For example: If a mass m is lifted from a desk to a shelf, it doesn't matter if you take the reference point (where PE = 0) to be the floor or the desk or anywhere else. The change in PE will be mgΔh no matter what.
 
With gravity, the Potential is always Negative. It's just a matter of 'how much negative'. In some places, the potential will be Higher (less negative) than in others.
 

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