Finding loss of sun's mass given the energy density delivered.

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SUMMARY

The discussion focuses on calculating the mass loss of the sun based on the energy density of 1300 J/m²s received at Earth's surface, located approximately 1.49 x 1011 meters from the sun. The relevant equation for this calculation is ΔE = Δmc², which relates energy loss to mass loss. The participants emphasize the distinction between energy density and total energy, indicating that a straightforward application of E=mc² is insufficient without integrating the energy density over the appropriate area and time.

PREREQUISITES
  • Understanding of energy density concepts
  • Familiarity with the equation ΔE = Δmc²
  • Knowledge of basic physics principles related to energy and mass
  • Ability to perform calculations involving large distances and time frames
NEXT STEPS
  • Research how to convert energy density to total energy over a given area and time
  • Learn about the implications of mass-energy equivalence in astrophysics
  • Explore the concept of solar luminosity and its relation to energy output
  • Investigate the effects of distance on solar energy density using inverse square law
USEFUL FOR

Students studying physics, particularly those focusing on astrophysics or energy-mass relationships, as well as educators looking for practical examples of energy calculations in celestial contexts.

texan14
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Homework Statement



The energy density (energy per unit area per unit time) arriving from the sun at the surface of the Earth is 1300 J/m2s. Calculate the mass loss of the sun in one year. (The Earth is about 1.49 x 1011 m from the sun.)

Homework Equations



ΔE = Δmc2

KE = (γ-1)mc2

The Attempt at a Solution



I'm not sure how to calculate the loss of energy density from the sun as a function of distance. I feel like it can't be as easy as plugging the energy into E=mc2
 
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Hint: You're not given an energy; you're given an energy density.
 

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