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So that's like 14 times 600 million mosquitoes per second flying into a barrier, which is about 1300 watts, about the same rate of energy (power) used by a 1300W space heater or microwave oven, a very impressive figure when you consider how tiny a fraction of a grain of sand is colliding to produce that.
we end up with around 600 million collisions per second
originally posted by: Arbitrageur
a reply to: pfishy
That's about the overall energy of the beams (600 sticks of dynamite, or so depending on the experiment). They have a beam dump which has to be able to handle that much energy. The protons carrying that energy have about the same rest mass as a grain of sand.
When two protons collide in a single collision, now that the LHC is upgraded, its about 14TeV. The mosquito in flight analogy is for only 1 TeV, so 14 TeV is like 14 mosquitoes in flight.
Despite the fact that most protons don't collide, there are still 600 million collisions per second:
lhc-machine-outreach.web.cern.ch...
So that's like 14 times 600 million mosquitoes per second flying into a barrier, which is about 1300 watts, about the same rate of energy (power) used by a 1300W space heater or microwave oven, a very impressive figure when you consider how tiny a fraction of a grain of sand is colliding to produce that.
we end up with around 600 million collisions per second
I made a thread about the mathematical formula for that, since most people think they know the right formula but it's not quite the complete formula, especially if talking about 14 TeV collisions at the LHC:
originally posted by: pfishy
Ok, I actually have a real question for you. Being that mass and energy are interchangeable in GR (loosely speaking), how would I convert the mass of an object to an equivalent energy quantity? Say, for instance, how does one kg convert to eV? Or is that even a plausible conversion?
originally posted by: ErosA433
a reply to: pfishy
The only known way thus far is annihilation using an anti-matter + matter interaction. The issue here is that you use a lot of energy in the first place to create anti-matter.
Now thats not the worse of it. The worse of it is in order to ' process' matter in this interaction, it is kind of tricky because you would really want to convert everything to protons, all i guess i am saying is that, its tricky and there is no magical switch or known process that can allow you to do that conversion on enormous scales.
in essence fusion and fission are our current ways of harnessing that power.
originally posted by: Arbitrageur
I made a thread about the mathematical formula for that, since most people think they know the right formula but it's not quite the complete formula, especially if talking about 14 TeV collisions at the LHC:
originally posted by: pfishy
Ok, I actually have a real question for you. Being that mass and energy are interchangeable in GR (loosely speaking), how would I convert the mass of an object to an equivalent energy quantity? Say, for instance, how does one kg convert to eV? Or is that even a plausible conversion?
Is E=mc² right or wrong?
So the math for the conversion of mass to energy isn't hard, but as Eros said, doing the actual conversion of mass to energy is harder, at least for us Earthlings. The sun makes fusion look easy and it converts mass to energy at the rate of 4 million TONS a second. (600 million tons of hydrogen get converted to 596 million tons of helium per second, so most of the mass doesn't get converted into energy).
originally posted by: Arbitrageur
a reply to: pfishy
"What would be the eV value for, say, a 50kg human being?"
You need to define the question better. If you mean what is the equivalent energy content of the mass, why do you want to know that because you can't extract it, so it's not a meaningful number to me? If that's what you're after, just take the formula Is E=mc² and plug in 50kg for the mass, multiply by c squared and you have the equivalent energy.
But if you're thinking of say the mosquito in flight analogy, or maybe a person walking, that is related to momentum and not mass-energy equivalence. The mosquito in flight analogy link posted at the top of this page (86) shows how that conversion is done. Just plug in the mass and velocity of a human instead of a mosquito.
You can convert between eV and Joules using this:
1 eV = 1.6021773 x 10^-19 Joules
You should probably review the mosquito in flight analogy link.
originally posted by: ErosA433
Oh i See
Well we start with E=mc^2
It is then simply unit conversion, the issue is really people cutting off the units.
Unit of energy = eV or electron volt, which is the energy gained by an electron accelerated across a potential of 1 volt
units of mass in this equation is actually eV/c^2
For conversion say of kg,
E = Joule = Kg m^2 / s^2
m = kg
c = Speed of light, units m/s
RIGHT so, how much mass is that? well the energy gained by an electron accelerated across a potential of 1 volt is
E = QV = 1.6x10^-19 C x 1 V
Thus for energy conversion, 1eV = 1.6x10^-19 J
So what about mass?
1.6x10^-19 = mc^2, solve for m an you get 1eV/c^2 = 1.782×10^−36 kg
So this is where you have for example an electron having a mass of 9.11x10-31 kg and if you do the conversion you get 511keV
Hopefully that makes sense?
50kg human would be 2.8x10^36 eV... or in comparison to the TeV level, 2.8x10^25 TeV... which is a lot compared to the 14TeV single collision of the LHC
Let's start with that one, and see if you might already know the answer but don't realize it.
originally posted by: MasterAtArms
I have a question I want to ask (not crackpot!) about magnets!...
2) the reverse (attraction) of point 1. Because, when those magnets touch, they are applying their equal and opposite forces on each other, cancelling out? And yet they are still bound by the magnetic field? And require energy to separate?
Ok, unless I am calculating this incorrectly, it is phenomenally less.
originally posted by: Arbitrageur
a reply to: pfishy
Ok here's a question for you to see if you understand it now, and the math is pretty easy.
The energy released from the largest nuclear explosion ever was about 210 x 10^15 Joules.
Is that bigger, smaller, or about the same as energy equivalent of 50kg of mass?
For E=mc² to come out in Joules you have to use mass in kg, use the speed of light in meters per second (3x10^8 m/s is close enough).