What is the difference between energy and relativistic mass?

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SUMMARY

The discussion clarifies the distinction between energy and relativistic mass, emphasizing that they are not the same despite being related. The equation E = mc² is valid only for rest mass, while the more general relationship for moving objects is E² = m²c⁴ + p²c², where p represents relativistic momentum. The term "relativistic mass" is considered outdated, with modern physics favoring "invariant mass" as the intrinsic property of an object. This shift in terminology reflects a deeper understanding of mass-energy equivalence in the context of special relativity.

PREREQUISITES
  • Understanding of special relativity concepts
  • Familiarity with the equation E = mc²
  • Knowledge of relativistic momentum and invariant mass
  • Basic grasp of four-vectors in physics
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  • Study the implications of invariant mass in modern physics
  • Explore the derivation and applications of the equation E² = m²c⁴ + p²c²
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Students of physics, educators in relativity, and researchers interested in the nuances of mass-energy relationships in modern theoretical frameworks.

  • #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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