Infinite Mass, Infinite Energy

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SUMMARY

The discussion centers on the concept of mass in the context of special relativity, particularly addressing the misconception that accelerating a rest mass to the speed of light (c) requires infinite energy. Participants clarify that while relativistic mass appears to increase from the perspective of an observer at rest, the invariant mass remains constant regardless of the observer's frame of reference. The work-energy theorem and the relativistic kinetic energy formula are pivotal in understanding why infinite energy is necessary to reach c. Ultimately, the distinction between invariant mass and relativistic mass is crucial for comprehending these relativistic effects.

PREREQUISITES
  • Understanding of special relativity principles
  • Familiarity with the work-energy theorem
  • Knowledge of relativistic kinetic energy equations
  • Concept of invariant mass versus relativistic mass
NEXT STEPS
  • Study the work-energy theorem in the context of special relativity
  • Learn about the relativistic kinetic energy formula: K = m_0 c^2 / √(1 - v^2/c^2)
  • Explore the concept of invariant mass and its measurement techniques
  • Investigate the implications of relativistic effects on particle physics experiments
USEFUL FOR

Physics students, educators, and anyone interested in the nuances of mass and energy in special relativity, particularly those exploring concepts in theoretical physics and particle dynamics.

  • #31
There was an important question I asked that got overlooked.

With the increase of mass due to velocity, what is happening to density? Is the volume of the object increasing also?
 
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  • #32
WhyIsItSo said:
Is the volume of the object increasing also?

Remember length contraction? It applies in the direction parallel to the direction of motion, but the directions perpendicular to the motion are unaffected. So the volume of the object decreases.
 
  • #33
jtbell said:
Remember length contraction? It applies in the direction parallel to the direction of motion, but the directions perpendicular to the motion are unaffected. So the volume of the object decreases.
Huh...thinking...thinking...

mass increasing + volume decreasing = density increasing?

Or is this one of those points were relativity surprises me once again?
 

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