Need help finding energy absorbed by perfect black sphere

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SUMMARY

The discussion focuses on calculating the energy absorbed by a perfect black sphere with a radius of 2500 km positioned 5.2 AU from the Sun, where the Sun's luminosity is 3.90 x 10^26 watts. To determine the energy absorbed, one must first calculate the flux received by the sphere using the formula: flux = luminosity/area. The area of the sphere and the distance from the Sun are crucial for finding the total power absorbed by the sphere.

PREREQUISITES
  • Understanding of solar luminosity and its value (3.90 x 10^26 watts).
  • Knowledge of the formula for flux: flux = luminosity/area.
  • Ability to calculate the surface area of a sphere.
  • Familiarity with astronomical units (AU) and their significance in distance measurement.
NEXT STEPS
  • Calculate the surface area of a sphere using the formula: Area = 4πr².
  • Determine the flux received by the sphere at a distance of 5.2 AU from the Sun.
  • Apply the flux value to find the total power absorbed by the sphere.
  • Explore the implications of energy absorption in astrophysical contexts.
USEFUL FOR

Students studying astrophysics, physics enthusiasts, and anyone interested in understanding energy absorption in celestial bodies.

mendem03
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Homework Statement


Suppose we place a perfectly black sphere (i.e., a sphere that absorbs all energy it receives)
with radius 2500 km at a distance of 5.2 AU from the Sun. How much energy does the sphere
absorb in one second?
energy emitted by sun is given to be 3.90 * 10^26


Homework Equations


flux = energy emitted(luminosity)/Area


The Attempt at a Solution


I found the area of the black sphere and the area of the energy emitted.
But I do not no what the next step should be. would i need to find the flux of the black sphere first then find how much energy it receives.
I am not looking for a solution to the question but how I would go about trying to solve it.
Can someone please help.
 
Physics news on Phys.org
Figure out how much flux the black sphere receives FROM the sun at that distance. Figure out the area over which the radiation is incident. That will tell you the total power absorbed by the sphere.
 
Thank you for the help
 

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