Particle Acceleration: 99.99% Light Speed & Mass

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SUMMARY

Particle accelerators have successfully accelerated particles to 99.99% of the speed of light, leading to significant increases in relativistic mass. According to the principles of relativity, as a particle approaches light speed, its mass increases, theoretically reaching infinite mass at the speed of light, which requires infinite energy for acceleration. This discussion emphasizes the importance of understanding relativistic mass and suggests consulting Griffiths' "Electromagnetism" for a deeper understanding of relativity through four-vectors.

PREREQUISITES
  • Understanding of Einstein's theory of relativity
  • Familiarity with particle physics concepts
  • Basic knowledge of mass-energy equivalence
  • Mathematical skills for calculations involving relativistic mass
NEXT STEPS
  • Study the concept of relativistic mass in detail
  • Learn about the mathematical derivation of mass increase at relativistic speeds
  • Read Griffiths' "Electromagnetism" focusing on Chapter 12
  • Explore practical applications of particle accelerators in modern physics
USEFUL FOR

Physicists, students of particle physics, and anyone interested in the implications of relativistic mass and high-speed particle dynamics.

Holocene
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Particle accelerator?

I've read that we have accelerated small particles to 99.99% the speed of light.

Now, if I understand this correctly, a particles mass increases as its speed increases.

Also, if an object "having mass" was moving at the speed of light, it would have infinite mass, and therefore would require infinite energy to accelerate it to the speed of light, and since infinite energy does not exist, this is why anything having mass cannot reach light speed.

So my question is, how much more massive is small particle when it is moving at 99.99% light speed?

It seems like if it was so close to actual light speed, its mass would be huge, perhaps as much as the Earth's, and accelerating an object that close to light speed could knock the planet right out of orbit or something?
 
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It seems to be a good idea (and is increasingly more popular) to just ignore the idea of relativistic mass altogether. You may want to find a book that describes relativity in terms of 4 vectors, such as Griffiths E&M (ch. 12 I believe).
 
Holocene said:
if it was so close to actual light speed, its mass would be huge, perhaps as much as the Earth's
Assume the particle was a proton. Come back once you've done the (trivial) maths and compared the numbers.
 

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