Calculate the percentage increase in mass

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SUMMARY

The discussion focuses on calculating the percentage increase in mass of an Apollo rocket as it escapes Earth's gravity at a velocity of 11.2 km/s (11,200 m/s). The relevant equations include Einstein's mass-energy equivalence formula, E=mc², and the relativistic mass formula, mv=mo/√(1-v²/c²). The percentage increase in mass is defined as (mv - mo) / mo * 100%. Participants are encouraged to apply these equations to derive the mass increase due to relativistic effects at high velocities.

PREREQUISITES
  • Understanding of relativistic physics concepts
  • Familiarity with Einstein's mass-energy equivalence (E=mc²)
  • Knowledge of the formula for relativistic mass (mv=mo/√(1-v²/c²))
  • Basic algebra for calculating percentage increases
NEXT STEPS
  • Research the implications of relativistic mass changes at high velocities
  • Study the derivation of the formula for percentage increase in mass
  • Explore practical applications of relativistic physics in aerospace engineering
  • Learn about the effects of gravity on mass and velocity in space travel
USEFUL FOR

Students in physics, aerospace engineers, and anyone interested in the effects of relativistic speeds on mass calculations.

ASidd
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Homework Statement


Calculate the percentage increase in the mass of an apollo rocket as it escapes from the Earth's gravity at 11.2 kps


Homework Equations



11.2 kps = 11, 200 m/s

E= mc^2

mv= mo/ sqrt (1- v^2/c^2)

mv= mass of the object relative to stationary frame
mo= proper mass
v= velocity of the object

The Attempt at a Solution


No idea how to do this
 
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Percentage increase is ## \frac {m_v - m_0} {m_0} 100 \%##.
 

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