Uncovering the Constant C: Equal Mass Equals Equal Energy?

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SUMMARY

The discussion centers on the relationship between mass and energy, specifically addressing the concept that all matter with equal rest mass possesses the same energy. It is established that while 1 kg of water and 1 kg of uranium have equivalent mass-energy at rest, the equation E = mc² is insufficient for moving matter. The correct formulation is E² = m²c⁴ + p²c², indicating that particles with identical mass but varying momentum will exhibit different energy levels.

PREREQUISITES
  • Understanding of Einstein's mass-energy equivalence principle
  • Familiarity with the concepts of rest mass and momentum
  • Knowledge of relativistic energy equations
  • Basic grasp of physics terminology related to energy and mass
NEXT STEPS
  • Study the implications of E² = m²c⁴ + p²c² in relativistic physics
  • Explore the differences between rest mass and relativistic mass
  • Investigate the concept of momentum in the context of particle physics
  • Learn about applications of mass-energy equivalence in nuclear physics
USEFUL FOR

Physics students, educators, and anyone interested in the principles of mass-energy equivalence and relativistic mechanics.

Adam Rifai
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Since C is constant, so all matter of equal rest mass have the same E ?!
e.g. an equal rest mass of water and rest mass of Uranium have the same energy ?
 
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Yes, the mass energy related to 1 kg of water is the same as the mass energy in 1 kg of uranium.
 
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Adam Rifai said:
all matter of equal rest mass have the same E ?

Assuming the matter is at rest, yes. For matter in motion, ##E = mc^2## is not correct; the correct formula is ##E^2 = m^2 c^4 + p^2 c^2##, where ##p## is the momentum. So pieces of matter with the same ##m## but different ##p## (because they are moving at different speeds) will have different ##E##.
 
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