"VistaJustWorks" wrote in message



"Brad Guth" wrote
What is the energy between two protons?

QM predicts that it is infinite.

107 TJ/kg; But is there any such Earth/Moon Binding Energy?

http://en.wikipedia.org/wiki/Binding_energy
-begin quote-
Binding energy is the energy required to disassemble a whole into
separate parts. A bound system has a lower potential energy than its
constituent parts; this is what keeps the system together. The usual
convention is that this corresponds to a positive binding energy.

In general, binding energy represents the mechanical work which must be
done in acting against the forces which hold an object together, while
disassembling the object into component parts separated by such
sufficient distance that further separation requires negligible
additional work.

Electron binding energy is a measure of the energy required to free
electrons from their atomic orbits.

Nuclear binding energy is derived from the strong nuclear force and is
the energy required to disassemble a nucleus into free unbound neutrons
and protons. At the atomic level, the binding energy of the atom is
derived from electromagnetic interaction and is the energy required to
disassemble an atom into free electrons and a nucleus. In astrophysics,
gravitational binding energy of a celestial body is the energy required
to disassemble it into space debris (dust and gas). This quantity is not
to be confused with the gravitational potential energy, which is the
energy required to separate two bodies, such as a celestial body and a
satellite, to infinite distance, keeping each intact (the latter energy
is lower).
-end quote-

Exactly how much lower than binding energy is the energy of gravity?

Would it not be absolutely nifty having a science platform situated
within the moon's L1?

-begin quote-
Specific quantitative example: a deuteron
A deuteron is the nucleus of a deuterium atom, and consists of one
proton and one neutron. The experimentally-measured masses of the
constituents as free particles a

mproton = 1.007825 u (u is atomic mass unit)
mneutron= 1.008665 u
mproton + mneutron = 1.007825 + 1.008665 = 2.01649 u

The mass of the deuteron (also an experimentally measured quantity) is:
Atomic mass 2H = 2.014102 u
The mass difference = 2.01649 - 2.014102 = 0.002388 u. Since the
conversion between rest mass and energy is 931.494MeV/u, a deuteron's
binding energy is calculated to be:

0.002388 × 931.494 MeV/u = 2.224 MeV
Thus, expressed in another way, the binding energy is [0.002388/2.01649]
x 100% = about 0.1184 % of the total energy corresponding to the mass.
This corresponds to 1.07 x 1014 J/kg = 107 TJ/kg.
-end quote-

107 TJ/kg certainly seems rather impressive, and to think that our
little old moon has 7.35e22 kg to work with, whereas you'd think at
least some of that mass has to have at laeast a few of such protrons and
neutrons to spare.

So, perhaps the Earth/moon "binding energy" of gravity that's existing
between Earth and our nasty moon is actually greater than I'd thought.
I wonder how much greater than the 2e20 j or 7.2e20 kw worth we're
talking about, such as to whatever's the actual energy associated with
the week Earth/moon atomic binding relationship, and what exactly is
that amount of energy worth on the open physics spot market.
-
Brad Guth


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