Hotter than the sun

Classical Mechanics Level 5

Which gives off more heat, you, or the Sun? If we're talking about net heat, it's obviously the Sun, but if we're talking about heat output per unit mass, it's not so clear. Calculate the ratio of your body's heat output per unit mass to that of the Sun.

Details and Assumptions

  • The mass of the Sun is \(2\times10^{30}\) kg
  • The radius of the Sun is \(7\times 10^8\) m
  • The surface temperature of the sun is \(5780\) K, and it is a perfect blackbody.
  • Your daily consumption of food is 2,000 Calories (2,000,000 calories), and you radiate it all as heat.
  • You weigh 75 kg.

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