E=mc^2 and is it possible E/c^2=m

[arora-dhan]

can anyone explain in simple terms Einstein's equation E=mc^2 and is it possible E/c^2=m, because it is said mass can neither be created nor destroyed!

 

[malawi_glenn]

https://www.physicsforums.com/library.php?do=view_item&itemid=205

 

[HallsofIvy]

can anyone explain in simple terms Einstein's equation E=mc^2 and is it possible E/c^2=m, because it is said mass can neither be created nor destroyed!

That last statement is not true in relativity. It is total mass and energy that is conserved.

 

[Dmitry67]

Every time people get confused by the difference between rest(invariant) and relativistic(conserved) mass.

When people come here after reading E=mc^2 they are definitely talking about the relativistic mass!

 

[Naty1]

Also,wikipedia has a long winded explanation at
http://en.wikipedia.org/wiki/Mass_energy_equation

In brief, Einstein's equation relates the amount of equivalent energy in a rest mass.
A small amount of mass,m, produces a lot of energy, E, because the constant c is really,really big. for example,
E (in joules) = m (in kilograms) multiplied by (299,792,458 m/s)^2.

So for example, less than 1% of two pounds of uranium produced the atomic bomb blast (energy) at Hiroshima. (The other 99% was waste radioactive material.) And when the fission is controlled as in a nuclear power plant by slowing the cascading neutrons, a lot of power (energy) can be extracted over a longer period of time to produce useful electricity and steam (two forms of energy).(And there is still a lot of radioactive waste.)

 

[Dmitry67]

Also,wikipedia has a long winded explanation at
http://en.wikipedia.org/wiki/Mass_energy_equation

In brief, Einstein's equation relates the amount of equivalent energy in a rest mass.

The same is applicable to the relativistic mass:

E = mc^2 either means E = M0c^2 for an object at rest, or E = Mrel c^2 when the object is moving.

 

[Naty1]

Post #6 is entirely correct...
I was keeping it SIMPLE...
The energy E can be considered as ALL forms of energy, heat, liner and angular momentum, kinetic and potential, gravitational, etc, as well as the component from rest mass...

If the mc² equation is written as m_oc² then one knows its rest mass for sure...but someone asking the question posted here is unlikely to make that distinction...

 

[Dmitry67]

Yes, but how would your reply the question beginners ask many times:

E=mc^2, so energy can be convertedinto mass and vice versa?
Answer depends on what notion of mass do you use.

 

[arora-dhan]

E=mc^2, so energy can be convertedinto mass and vice versa?
Answer depends on what notion of mass do you use.

what do you mean when you say "notion of mass"??

 

[Dmitry67]

I mean, answer is different for the rest and relatiistic mass.

 

[HallsofIvy]

The question itself is incorrect. It should be "Can matter be converted into energy".

 

[Naty1]

I mean, answer is different for the rest and relatiistic mass.

How different is the answer for fission and fusion? anybody know?? Seems like it should be small...energy released is related basically to binding energy of the nucleus, right?

With high energy particles, as in acclerators, I can see momentum could be significant...relativistic considerations become significant...