Einstein's famous formula states that E = mc squared. Rewrite the formula with c as the subject.

please help and show all your working out!

Thank you very much!!

Einstein's famous formula states that E = mc squared. Rewrite the formula with c as the subject.

please help and show all your working out!

Thank you very much!!

Tutors, please sign in to answer this question.

Aliquippa, PA

Hello, Kath

If E = mc^{2}

then

c^{2} - E/m

and

c = √(E/m) or (E/m)^{½}

Middletown, CT

Hi again Kath;

According to my college physics professor, E=mc^{2 }is an over-simplification of the mathematical formula. The way E=mc^{2} has been taught in the grammar schools drove him crazy.

Unfortunately, I no longer have my college notes. I researched this on the internet. In its original form, the formula is ...

E

E=energy of the particle

m=rest mass

p=momentum, also represented as mass multiplied by velocity, (mass)(velocity), p=mv.

c=speed of light, 299,792,458 meters per second.

If the mass is not moving, then p, momentum, is zero, because velocity (speed and direction of motion) is zero...

If the mass is not moving, then p, momentum, is zero, because velocity (speed and direction of motion) is zero...

E^{2}=[(m^{2})(c^{4})]+[(0^{2})(c^{2})]

Then this is...

E^{2}=m^{2}c^{4}

The square root of both sides is...

E=mc^{2}

As William explained, this can also be represented as...

c=√(E/m) or c=(E/m)½

As to the original equation, I do not know of any way of isolating c as the subject.

I know this does not answer your question. I just want to ask of you not to drive your college professors crazy.

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## Comments

Then tell me the meanings of each equation and which one they think is the "real" equation.

E = mc2 <= the mass of the universe and speed of light determine how much energy is in the universe.

m = E/c2 <= the energy in the universe and speed of light determine how much mass there is

c = √(E/m) <= the ratio of energy to mass in the universe determines the sped of light