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Matthias765

What in the world does E =mc2 mean? (Einstein's equation.)

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Matthias765

What in the world does E =mc2 mean? (Einstein's equation.)

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selfAdjoint

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The amount of energy that could be obtained by completely annihilating a mass m Kg is equal to m Kg multiplied by [tex]9X10^{16} meters^2/second^2[/tex]. The units come out right for an energy.

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SA, you mean ~9 times 10 to the power of 16, right? :uhh:

Daniel.

Daniel.

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selfAdjoint

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Eek! I put in the value for the wrong length! It's changed now.dextercioby said:SA, you mean ~9 times 10 to the power of 16, right? :uhh:

Daniel.

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You had put the number for "cgs", instead of "mKs" but left out the all important "centi".

Daniel.

Daniel.

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Matthias765

ok, thanks for the anwser.

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Phobos

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mass and energy are two sides of the same coinMatthias765 said:What in the world does E =mc2 mean? (Einstein's equation.)

you can convert one to the other

the conversion factor is c-squared

a little matter is made of a lot of energy

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But what's energy here? The energy of gamma rays (high energy photons). Correct?

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Pengwuino

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heheheRatzinger said:But what's energy here? The energy of gamma rays (high energy photons). Correct?

Gamma rays.. x-rays.. visible light... all sortsa fun stuff.

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My understanding is that there's only one type of energy (AFAK). This energy can come in many different forms, including gamma rays. m=mc^2 obviously uses the SI unit of joules.Ratzinger said:But what's energy here? The energy of gamma rays (high energy photons). Correct?

whats whe speed of light have to do with the deveration of energy from mass nanyway :yuck:

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energy comes in form of photons when E=mc^2 is involved

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learningphysics

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No. This doesn't have to be.Ratzinger said:energy comes in form of photons when E=mc^2 is involved

For example... if you heat up a pot of water... its mass will increase, and the increase in mass = [tex]E/c^2[/tex] where E is the amount of heat added.

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Pengwuino

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.... no. The mass will not increase at all.learningphysics said:For example... if you heat up a pot of water... its mass will increase, and the increased mass = [tex]E/c^2[/tex] where E is the amount of heat added.

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learningphysics

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Yes it does. It may not be measurable. But it's a consequence of special relativity that the mass increases.Pengwuino said:.... no. The mass will not increase at all.

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Pengwuino

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Well if it does, news to me. Someone else should be along soon enough to tell me off.learningphysics said:Yes it does. It may not be measurable. But it's a consequence of special relativity that the mass increases.

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Ich

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The most common form of residual movement is called temperature.

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By definition the mass, m, of an object is associated with the momentum, p, of the same object. The sum of the kinetic energy, K, and the rest energy, EMatthias765 said:What in the world does E =mc2 mean? (Einstein's equation.)

[/quote]Not quite right. That expression is limited in form. In general it is incorrect. When you have an object of finite extent and there are forces being exerted on it then that equation is incorrect.Phobos said:mass and energy are two sides of the same coin. etc

If you have Shutz's new text

Pete

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This depends on what you mean by the term "mass." learningphysics is thinking of p = mv as the expression defining m. Others define mass as follows; p = M(v)v, m = M(0).Pengwuino said:Well if it does, news to me. Someone else should be along soon enough to tell me off.

Pete

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Pengwuino

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learningphysics

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Pete, but in this example (heating the water up... assuming the center of mass of the water is motionless in the frame of interest)... the inertial mass = invariant mass. So regardless of either definition, mass increases right? You clarified this for me in a thread a few months back.pmb_phy said:This depends on what you mean by the term "mass." learningphysics is thinking of p = mv as the expression defining m. Others define mass as follows; p = M(v)v, m = M(0).

Pete

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Yes.learningphysics said:Pete, but in this example (heating the water up... assuming the center of mass of the water is motionless)... the inertial mass = invariant mass. So regardless of either definition, mass increases right?

Pete

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But the molecules move faster if they're heated up, so their relativistic mass increases.Pengwuino said:

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Yes. That's quite true. Its also part of the mechanism of why the mass of the object increases with the addition of heat. Take the simple case of a box of particles whose velocity has only an xy-component and no z component. Let the mass of the containment walls be insignificant when compared to the mass of the gas. Then as the gas is heated the particles move faster. The faster they move the greater the weight. Let the total momentum of the gas be zero. With all this in mind its rather easy to see why the mass of the gas increases when its heated up.εllipse said:But the molecules move faster if they're heated up, so their relativistic mass increases.

See details at http://www.geocities.com/physics_world/gr/weight_move.htm

Pete

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Interesting, but a bit questionable. For instance, in your second derivation, if you take the result dead seriously, the weight would depend on the height 'z'.pmb_phy said:

In GR, mass is founded on asymptotic flatness, which is nowhere mentioned in your webpage. A standard method would be to use the energy pseudotensors in an asymptotically Minkowskian coordinate system.

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How can masses of the particles depend on their velocity ? Mass is a Lorentz-invariant quantity. All that changes is kinetic energy of the particles. Their masses remain the same. If this would not be the case, you would surely have different decays at different temperatures.pmb_phy said:Then as the gas is heated the particles move faster. The faster they move the greater the weight. Let the total momentum of the gas be zero. With all this in mind its rather easy to see why the mass of the gas increases when its heated up.

See details at http://www.geocities.com/physics_world/gr/weight_move.htm