The Effect of Binding Energy on Mass

[Dileep Ramisetty]

TL;DR

The binding energy being within the different system of force or interactions, how does it vary mass?

Starting to explore quantum mechanics, I read strong nuclear force that binds protons and neutron together in nucleus of atom, gives atom its mass. More binding energy means more mass of atom. Hence the query that, for example there are two magnets having a force F1. And we have the same size magnets with higher force F2, when they are placed on weighing machine reads the same weight as the interactions of force are within the system and not with the objects external to system. Similarly, the binding energy being within the system, how does it vary mass.

 

[malawi_glenn]

Are you referring to magnets or what? Or if binding energy of the magnets would result in a scale showing less mass?

Or atomic nuclei?

 

[Sagittarius A-Star]

Similarly, the binding energy being within the system, how does it vary mass.

Maybe, that helps to answer the question:

April 1935, Elementary derivation of the equivalence of mass and energy, Albert Einstein:
https://projecteuclid.org/journals/...lence-of-mass-and-energy/bams/1183498131.full

 

[PeroK]

TL;DR Summary: The binding energy being within the different system of force or interactions, how does it vary mass?

Generally, the mass of a nucleus is less than the total mass of the constituent protons and neutrons (due to the binding energy, which is energy lost from the system when the nucleus forms). See, for example:

http://hyperphysics.phy-astr.gsu.edu/hbase/NucEne/nucbin.html

 

[Sagittarius A-Star]

Starting to explore quantum mechanics, I read strong nuclear force that binds protons and neutron together in nucleus of atom, gives atom its mass.

That effect is mainly inside the protons an neutrons. For example:

For protons, the sum of the rest masses of the three valence quarks (two up quarks and one down quark) is approximately 9.4 MeV/c2, while the proton's total mass is about 938.3 MeV/c2.

Source:
https://en.wikipedia.org/wiki/Quantum_chromodynamics_binding_energy

 

[PeterDonis]

I read

Where? Can you give a reference?

strong nuclear force that binds protons and neutron together in nucleus of atom, gives atom its mass.

Not really. It's not the binding of protons and neutrons, it's the confinement of quarks. Each individual proton and neutron has a mass that is much larger than the sum of the rest masses of its constituent quarks. The remaining mass is believed to be due to energy associated with the strong interaction that confines the quarks inside each individual proton or neutron.

At the level of protons and neutrons combining to make atomic nuclei, the total mass of a given nucleus will be less than the sum of the masses of its individual protons and neutrons; in other words, the binding energy of protons and neutrons in the nucleus is negative, as with ordinary bound systems that we are familiar with.