What is the difference between energy and relativistic mass?

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The discussion centers on the distinction between energy and relativistic mass, with participants debating the relevance of the term "relativistic mass" in modern physics. It is clarified that while energy and relativistic mass are related, they are not the same; energy is proportional to mass but defined differently. The equation E = mc² applies specifically to rest mass, while for moving objects, a more complex relationship involving momentum is used. The consensus leans towards the idea that the concept of relativistic mass is outdated, favoring invariant mass in contemporary physics. Ultimately, the conversation emphasizes the importance of understanding how energy varies with velocity, particularly in the context of special relativity.
  • #31
Meir Achuz said:
In the modern interpretation, m is the "invariant mass" of an object, and the equation E=mc^2 holds only in the rest system.



is the rest system to viewer?
 
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  • #32
dreamfly said:
is the rest system to viewer?

I'm pretty sure Meir meant "the rest system of the object in question."

In the usual modern terminology the energy of an object is

E = \frac {mc^2}{\sqrt {1 - u^2 / c^2}}

where u is the speed of the object in whatever reference frame you're working in, and m is the invariant mass, which is often called the "rest mass". This reduces to E = mc^2 when u = 0, i.e. when the object is at rest.
 
  • #33
jtbell said:
I'm pretty sure Meir meant "the rest system of the object in question."

In the usual modern terminology the energy of an object is

E = \frac {mc^2}{\sqrt {1 - u^2 / c^2}}

where u is the speed of the object in whatever reference frame you're working in, and m is the invariant mass, which is often called the "rest mass". This reduces to E = mc^2 when u = 0, i.e. when the object is at rest.



Thank you!
 

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