Originally posted by XiaoLaoHu
Does energy contain mass?
If it does not, why E=mc²?
Yes, energy has mass.
What does it mean to say that something has mass? It means that the thing is heavy: if we put it on a scale, the scale will show that its weight is not zero.
How can we put energy on a scale to see if it has weight? Well, energy comes in lots of different forms, but here's one example. To compress a spring, we need to do work on it. Therefore, a spring contains more energy when it's compressed than when it isn't compressed. So it will weigh more when it's compressed. (For a spring, the difference in weight is tiny and probably too small actually to detect, but in principle a compressed spring does weigh more. In other cases, the difference is detectable. See
this old thread, for example.)
I'm not very happy with the first two answers in that "Ask a Scientist" link. Photons certainly
are attracted by gravity. From Einstein's book on relativity,
appendix 3, section (b) "deflection of light by a gravitational field":<blockquote>according to the general theory of relativity, a ray of light will experience a curvature of its path when passing through a gravitational field, this curvature being similar to that experienced by the path of a body which is projected through a gravitational field.</blockquote>That's pretty clear, I'd say.
Your first question was easier.
Helmholtz's
explanation is long, but good.
(The article contains an unfortunate typo in paragraph 25: "A single labourer would
not be able to raise the load ... " should instead be "A single labourer would
now be able to raise the load ... ". Also, it often uses the word "force" where we would nowadays use the word "energy"; it was written 140 years ago, and terminology changes. Also, relativity hadn't been developed yet, so it doesn't talk about the equivalence of mass and energy; it just deals with energy alone.)