In a bad dream, you are naked in outer space. You only emit radiation, as there is little or none to absorb from your environment. Your skin acts like a blackbody at the infrared wavelengths that it radiates, and your body's surface area is about 2 m2. Estimate the following:
(a) the temperature and area of your skin,
(b) the rate at which energy is emitted by your body,
(c) the kilocalories of energy (1 kcal=1 food Calorie) emitted by your skin per day,
(d) the number of milkshakes (each containing about 400 kcal of energy) that you would have to drink per day in order to compensate for the energy lost from your skin.
(e) Why do you suppose it is biologically advantageous for the blood vessels in your skin to constrict when your environment is cold?