Sun Losing Mass due to Energy Radiation

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SUMMARY

The discussion focuses on calculating the mass loss of the Sun due to energy radiation, specifically using the solar constant of 1400 W/m² at a distance of 1.496 x 1011 m from Earth. The correct approach involves determining the total power output of the Sun by calculating the surface area of a sphere at that distance and then applying Einstein's mass-energy equivalence formula, E=mc², to find the mass loss per second. The user initially miscalculated by not considering the total area over which the Sun's energy is distributed.

PREREQUISITES
  • Understanding of the solar constant and its implications in astrophysics
  • Familiarity with the formula E=mc² and its application in mass-energy calculations
  • Knowledge of geometric calculations for the surface area of a sphere
  • Basic principles of energy transfer and radiation
NEXT STEPS
  • Calculate the total power output of the Sun using the formula for the surface area of a sphere
  • Explore the implications of mass loss in stellar evolution
  • Investigate the relationship between energy radiation and mass loss in other stars
  • Learn about the solar constant and its variations over time
USEFUL FOR

Astronomy students, astrophysicists, and educators interested in understanding stellar energy dynamics and mass loss due to radiation.

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Homework Statement



Energy from the sun (distance 1.496 x 10^11m from earth) arrives at the Earth at a rate of 1400W/m^2. How fast is the sun losing mass due to energy radiation?

Homework Equations





The Attempt at a Solution



Ok so i thought that Ei = E/r^2 where Ei is incident radiation and E is radiation at source..

Therefore E sun = r^2 (1400)

Then using E=mc^2..I divide the result by c^2 to give mass loss per second..

but i don't get the right answer..where am i going wrong?
thanks
 
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The solar constant specifies how much power sun light contains per square meter at our distance from the sun. To get the total power output of the sun light you would then need to know "how many" square meters there are all around the sun at our distance from it.
 
You are given the power per unit area at a certain distance from the sun. What's the total area over which the sun's energy is spread at that distance? (You're almost there.)
 

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