Can someone explain the concept of Mass-Energy Equivalence in simple terms?

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SUMMARY

Mass-energy equivalence, encapsulated by the formula E = mc², defines the relationship between energy and mass, asserting that the change in energy is proportional to the change in mass multiplied by the speed of light squared. This principle is foundational in understanding relativistic momentum and energy, which are both dependent on the observer's frame of reference. The discussion highlights that momentum, defined as mass times speed, is also relative, as both mass and speed vary with the observer's perspective. Additionally, the concept of dilated mass is introduced, emphasizing the relativity of energy and momentum.

PREREQUISITES
  • Understanding of basic physics concepts, particularly energy and mass.
  • Familiarity with Einstein's theory of relativity.
  • Knowledge of the formula E = mc² and its implications.
  • Basic grasp of momentum and its calculation.
NEXT STEPS
  • Research the implications of relativistic momentum in high-speed physics.
  • Study the concept of dilated mass and its effects in relativistic scenarios.
  • Explore the derivation and applications of the formula E = mc² in modern physics.
  • Learn about the relationship between energy, mass, and speed in different frames of reference.
USEFUL FOR

Students studying physics, educators explaining relativity, and anyone interested in the foundational concepts of mass-energy equivalence and its applications in modern science.

skoks
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Homework Statement


My textbook is only confusing me further and I need to understand this for a presentation in front of the class! The chapter is entitled Mass-Energy Equivalence, with sub titles Relativistic Momentum and Relativistic Energy. I don't understand relativity, I'm reading the first part of the unit to understand it now.



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The Attempt at a Solution

 
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Mass-energy equivalence is the formula stating the relationship between energy & mass. Also known as E = mc^2. It states that the difference in Energy is equal to the difference in mass time time the speed of light squared. Wikipedia has a page on it if you search E=mc2.
 
I understand this but I don't understand how momentum can be relative... What is dilated mass?How can energy be relative aswell?
 
skoks said:
I understand this but I don't understand how momentum can be relative... What is dilated mass?How can energy be relative aswell?
momentum is "mass times speed". Since both mass and speed are "relative", how could momentum NOT be? Likewise, energy is "1/2 mass times speed squared" so it also is relative to the viewer.
 

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