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Is it true that when a spring is extended, potential energy is stored in spring and result in gain of mass of the spring?

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Yes, spring mass will increase but in very very small amount.

As per Mass energy equivalence the amount of mass gain will be(E=mc2):

m= E/C2

for example if spring have store 1 Joule of potential energy when it is extended then the increased mass will be:

m =1/299792458= 3.33564095198152e-9

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  • $\begingroup$ i think its not proper to calculate changes in the mass of a body in a field or in a system having potential energy...otherwise our mass will change if we go to top floor of my apartment! $\endgroup$ – drvrm Jun 3 '16 at 6:09
  • $\begingroup$ @drvrm Please check en.wikipedia.org/wiki/Mass%E2%80%93energy_equivalence read strict mass–energy equivalence , yes it will change our mass. $\endgroup$ – editinit Jun 3 '16 at 8:21
  • $\begingroup$ @ editinit .. i think you are correct .. in the limiting cases of very small changes in the mass of a system .. one can visualize it. $\endgroup$ – drvrm Jun 3 '16 at 11:53

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