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> It is okay to say one object owns it entirely provided the other
> object is so massive that it doesn't change in KE. In that case, the
> dynamics of this massive object are of no real interest.
>
> So PEg = mgh belongs to the ball when the other object is the earth.
> PEs = kx^2/2 belongs to the mass when the other end of the spring is
> anchored to earth.