Friday 27 July 2018

experimental physics - Has $E=mc^2$ been experimentally verified for macroscopic objects with potential energy?


In relation to this question: What is potential energy truly?, I'm wondering if $E=mc^2$ has been experimentally verified to hold true for macroscopic objects with increased potential energy? I'm particularly interested in whether the following examples have been tested:



  • Does a macroscopic object at a higher position in a gravitational field have more mass due to the gravitational potential energy?


  • Does a spring weigh more when it is compressed compared with uncompressed?

  • Does a charged object weigh more when it is in an electric field?


If anyone could post links that provide more details on actual experiments that have shown these, that would be great.


EDIT: I've edited the question to try to be more specific about what I am asking. Apologies to those who have posted answers already if it makes your answer seem less relevant.




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