SOLUTION: The Sun has a luninosity (power output) of 3.86 x 10^23 watts. Using Einstein's equation E=mc^2, how much mass (in kg) does the Sun convert to radiation every day?

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Question 85207: The Sun has a luninosity (power output) of 3.86 x 10^23 watts. Using Einstein's equation E=mc^2, how much mass (in kg) does the Sun convert to radiation every day?
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
The total energy radiated by Sun in one day is E+=+3.86x10%5E23x86400 = 33.35x10%5E27 joules.

The factor 86400 comes as a day has 86400 seconds.

Now, velocity of light is c+=+3x10%5E8 m/s

So, the mass of Sun converted to radiation per day is
m+=+E%2Fc%5E2
m=33.35%2A10%5E27%2F%283%2A10%5E8%29%5E2 kg
m=3.72x10%5E11 kg