How Does Velocity Affect Mass in Relativity?

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SUMMARY

The discussion focuses on calculating the relativistic mass of a man weighing 78 kg on Earth while traveling at 0.93c. The correct formula used is M = Mo / √(1 - v²/c²), where Mo is the rest mass and v is the velocity. The calculation yields a relativistic mass of approximately 212.2 kg. The forum participants confirm the use of this formula and clarify the distinction between weight and mass in the context of relativity.

PREREQUISITES
  • Understanding of Einstein's theory of relativity
  • Familiarity with the concepts of mass and weight
  • Knowledge of the formula M = Mo / √(1 - v²/c²)
  • Basic understanding of the speed of light (c) and its significance in physics
NEXT STEPS
  • Study the implications of relativistic mass in high-speed travel
  • Learn about the relationship between energy, mass, and momentum in relativity
  • Explore the concept of rest mass versus relativistic mass
  • Investigate practical applications of relativity in modern physics
USEFUL FOR

Students of physics, educators teaching relativity, and anyone interested in the effects of high-speed travel on mass and weight.

iaberrant
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Homework Statement



On Earth a man weights 78kg. what is his weight on a starship which is traveling at 0.93c?


Homework Equations



Are the following correct for mass change in terms of relativity?

mr = E/c2
m0 = sqrt(E2/c4 - p2/c2)

Where E is energy, p is momentum and c is the speed of light in vacuum

Need help solving this!
Thank you in advance!
 
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Are you sure the problem is stated as weight? Because, if it is, then the solution is pretty simple...

If it says "mass", then we can do more... :)
 
yes it states weight and i think i have an idea of how to do it using the formula
M= Mo / [√ 1 - v^2/ c^2]
where Mo is 78kg and velocity is 0.93c
M= 78 / [√ 1 - (0.93c^2)^2/ c^2]
M= 78 / [√ 1 - 0.93c^2]
M=212.2105291kg

So the weight would be approximately 212.2 kg

is this correct working and answer?

thank you in advance~!

s
 

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