Simplifying E=mc²: Tips and Tricks for Solving Equations

  • Context: Undergrad 
  • Thread starter Thread starter Antuanne
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SUMMARY

The discussion centers on the simplification of the equation E² = m²c⁴ + p²c² to Emγc². Participants clarify that this simplification is not feasible without additional relationships between the variables E, m, p, c, and γ. Furthermore, it is emphasized that Emγc² is a term rather than a complete equation, which should include an equals sign. The conversation highlights the importance of proper mathematical notation, specifically the use of LaTeX for clarity.

PREREQUISITES
  • Understanding of the equation E² = m²c⁴ + p²c²
  • Familiarity with the variables E (energy), m (mass), p (momentum), c (speed of light), and γ (Lorentz factor)
  • Basic knowledge of algebraic manipulation in physics
  • Proficiency in LaTeX for mathematical notation
NEXT STEPS
  • Research the relationships between energy, mass, momentum, and the Lorentz factor in special relativity
  • Learn how to properly use LaTeX for writing mathematical equations
  • Explore the implications of E=mc² in various physics problems
  • Study the derivation of the Lorentz factor γ in the context of relativistic physics
USEFUL FOR

Students of physics, educators teaching relativity, mathematicians interested in algebraic manipulation, and anyone seeking clarity in mathematical notation.

Antuanne
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I can't figure out how to simplify the equation E2=m2c4+p2c2 to Emγc2! This is driving me crazy trying to! How do you?
 
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Antuanne said:
I can't figure out how to simplify the equation E2=m2c4+p2c2 to Emγc2! This is driving me crazy trying to! How do you?


It is almost impossible to decypher what you meant. Please read in the site how to properly use LaTeX to write mathematics here.

DonAntonio
 
Antuanne said:
I can't figure out how to simplify the equation E2=m2c4+p2c2 to Emγc2! This is driving me crazy trying to! How do you?

Well, the simplification is impossible unless you got some other relations between E,m,p,c and γ. This is probably a physics problem, in that case it belongs in the physics forum.

Finally, Emγc2 is not an equation, it is a term. An equation should have an =.
 

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