Which GPE formula is right and when do I use this other

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The discussion centers on the correct interpretation of the gravitational potential energy (GPE) formula, specifically whether to use deltaPEg as (PEg final - PEg initial) or its negative. The participants emphasize that the choice of sign convention for energy differences is crucial in applying these formulas. The formula deltaK + deltaPE = 0 is applicable when the total mechanical energy of a system is conserved. Understanding the underlying principles of physics is deemed more important than merely memorizing formulas. Clear conventions for using the delta symbol are recommended for consistency in calculations.
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In my formula sheet I have written down that

deltaPEg = (PEg final - PEg initial)

but then I have written down that

-(deltaPEg) = (PEg final - PEg initial)

which one is right?

Oh and another question, when do I use the formula

deltaK + deltaPE = 0?
 
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Depends on the sign convention you like for the energy difference.

zachdr1 said:
Oh and another question, when do I use the formula

deltaK + deltaPE = 0?
When it is applicable and helps.

Physics is not about memorizing formulas, it is about understanding how to get the formulas needed to solve the problem.
 
While I agree with mfb, I do think that the convention for the ##\Delta## symbol is pretty standard. I would always use ##\Delta f = f_{final}-f_{initial}## for any and all ##f##.
 
zachdr1 said:
Oh and another question, when do I use the formula

deltaK + deltaPE = 0?

When the total mechanical energy of a system is constant (conserved).
 
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