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On May 6, 2007, at 3:28 PM, David Abineri wrote:_______________________________________________________
I am looking for a high school level explanation for the following
question.
Does a compressed spring have more mass than a relaxed spring (at its
natural length) by virtue of it's having more energy while compressed?
Or, perhaps more generally, how does potential energy figure in to a
relativistic point of view.
I know this is a little vague but perhaps someone who understands my
question might attempt a response appropriate to a high school level
class.
1) Yes, but this is not measurable. For example, suppose a force F=100
N is used to compress the spring by d=0.1 m. The work done on the
spring is 10 J. That is by how much its potential energy is increased.
Divide this by c^2 to see that the mass increases by about 10^-19 kg.
2) Why do you have to explain this? Probably because you are probably
dealing with relativity. In that case you already introduced the
E=m*c^2 formula, probably giving some experimental evidence of its
validity. That is probably enough for high school.
_______________________________________________________
Ludwik Kowalski, a retired physicist
5 Horizon Road, apt. 2702, Fort Lee, NJ, 07024, USA
Also an amateur journalist at http://csam.montclair.edu/~kowalski/cf/
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