(Rest Energy of a nucleus) < (Rest Energy sum of constituent nucleons) -- Why?

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Homework Statement:

Why is it that the rest energy of a nucleus is less than the sum of the rest energies of its constituent protons and neutrons ?

Relevant Equations:

E rest = mc^2
Is it that work is done to overcome the nuclear forces holding the nucleus together?
 

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haruspex
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Homework Statement: Why is it that the rest energy of a nucleus is less than the sum of the rest energies of its constituent protons and neutrons ?
Homework Equations: E rest = mc^2

Is it that work is done to overcome the nuclear forces holding the nucleus together?
The work done to separate them, yes.
 
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