# Can the same point have different potential energies?

I know that different points can have the same potential energy. But is the opposite possible?

(i.e. can the same point have different potential energies?)

(The reference point for zero potential energy is fixed)

I think the answer is no.

But, then I don’t understand how any of these is possible • Could you give some context about this graph? What is shown, where is it from etc? May 22 at 7:48
• @CharlesTucker3 V represents potential energy and the graph shows the variation of V with position x May 22 at 7:50
• What part of which graph is it that you see confusion for? A point is only associated with one potential energy value (for a fixed reference point) at any moment just like it is only associated with, say, one position, one charge value, one temperature etc. May 22 at 7:55
• @CharlesTucker3 That means the graphs are wrong, correct? May 22 at 7:56
• The question was to choose from 4 options which are possible. May 22 at 7:57