A noob asking about relativistic kinetic energy.

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SUMMARY

The discussion clarifies that relativistic kinetic energy cannot be derived by simply adding the Lorentz factor gamma (γ) to the Newtonian kinetic energy equation. The correct formula for relativistic kinetic energy is K = (γ - 1) m₀c², where m₀ is the rest mass and c is the speed of light. This distinction is crucial for understanding the differences between classical and relativistic physics.

PREREQUISITES
  • Understanding of Newtonian mechanics and kinetic energy
  • Familiarity with the Lorentz factor (γ)
  • Basic knowledge of special relativity concepts
  • Awareness of the speed of light (c) and its significance in physics
NEXT STEPS
  • Study the derivation of the relativistic kinetic energy formula K = (γ - 1) m₀c²
  • Explore the implications of special relativity on classical mechanics
  • Learn about the Lorentz transformations and their applications
  • Investigate the differences between relativistic and classical momentum
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in the principles of special relativity and its impact on classical mechanics.

Katamari
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Hey guys, I'm new here. In fact I'm new to the site. Anyway, I just need this question answered. Is it possible to skip the equations for kinetic energy by simply adding gamma to the Newtonian kinetic energy equation? If so, could you give an example?
 
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Katamari said:
Is it possible to skip the equations for kinetic energy by simply adding gamma to the Newtonian kinetic energy equation?

No. The relativistic kinetic energy is

K = (\gamma - 1) m_0 c^2

which is not the same thing as

\gamma \left( \frac{1}{2}m_0 v^2 \right)

which I'm guessing is what you mean by "adding gamma to the Newtonian kinetic energy."
 

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