General Energy conservation question

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SUMMARY

In energy conservation problems involving both spring forces and gravitational forces, it is permissible to define two separate zero potential energy (U) positions. Specifically, one can set the gravitational potential energy (Ugrav) to zero at the lowest point of the gravitational field while simultaneously setting the spring potential energy (Uspring) to zero when the spring is in its relaxed state. These two reference points do not need to align in terms of their vertical positions (y values).

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Rock32
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This isn't really a homework question, so I'm hoping I can just get a straight answer from someone (although it is related to questions).

I realize that you can choose U = 0 anywhere you want in a gravity-related problem, ideally choosing a place where it is easiest to manipulate mgy values.

However, in a problem where both a spring force and gravity are of concern (i.e. where a spring is at an angle or hanging vertically), can you choose two different U = 0 positions?

That is, can you choose the lowest point to be Ugrav = 0 and the point where the spring is relaxed to be Uspring = 0, even if the two places are not the same y value? Or, do both PE's have to align?

Thanks.
 
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Yes, choose the spring U to be zero when relaxed and the gravitational energy zero height entirely separately.
 

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