PBS Features Einstein's Famous Equation
porp writes "On Tuesday, October 11th at 8PM EDT, PBS will feature a docudrama about Einstein's discovery of his famous E=mc^2 equation. The program will include details explaining those who came before him and the development of his miracle year. The pinnacle of which according to the program was his discovery that matter and energy are two sides of the same coin. Yahoo summarizes the program details in length." From the article: "Based on David Bodanis' best-seller 'E=mc2: A Biography of the World's Most Famous Equation,' the program explores the lives of the men and women who helped develop concepts behind each term: E for energy; m for mass; c for the speed of light; and 2 for 'squared,' the multiplication of one number by itself."
Since the program is intended for all audiences, including elementary school students and other non-computer science degree holders, yeah, it is useful.
The fact that such an explanation is necessary is quite saddening. Knowlege of something so basic as what it means to square a number should be commonplace.
It shows the willingness of people to remain ignorant of so many things, and concern themselves utterly with the trivial.
This is, ostensibly, a site which features news for nerds. If you can show me a true nerd who doesn't know what E=mc^2 represents, or even what ^2 means, then I will weep. Couldn't the submitter use something a little more interesting to us?
When /. points to Yahoo for "news" about Einstein, and the next item is Y-news is "The Worlds Worst Bathrooms", I hope a few E, M, and C squared smite the editors.
The relativistic total energy is the sum of the rest energy of a particle and its kinetic energy. The formula for total energy is:
E = (mc^2)/sqrt(1-v^2/c^2).
This can be made more intuitive if we note that momentum is defined as
p = mv/sqrt(1-v^2/c^2).
Hence
E^2 - p^2c^2 = m^2c^4 (remember than 1-v^2/c^2 = (c^2-v^2)/c^2 ).
Therefore, if v = 0, E = mc^2. In these equations, m is the rest mass of an object, v is the velocity of the object observed from your reference frame. Both the object and you cannot be accelerating (inertial reference frames--this also means no rotating, which is accelaration in physics). If you want to deal with acceleration there are much more complicated equations in general relativity.
Suddenly, the hairy finger of a familiar monkey tapped me on the shoulder. It was time.--G. T.
Even more pedantic: p_mu p^mu=1. There.
l'Homme n'est Rien l'Oeuvre Tout: Gustave Flaubert to George Sand