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09_1090_hw6 - Physics 1090 Homework#6 Due Thursday October...

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Physics 1090 Homework #6 Due Thursday, October 22, 2:00 pm Reading assignment : Chapters 13, 14 of the notes . 1. In an experiment on scaling carried out in 1883, a dog of mass 3.2 kg. and surface area 2400 sq. cm. was found to need 280 Calories a day to stay alive and warm (no exercise or weight change). A dog of mass 10 kg. and surface area 5300 sq. cm. was found to need 650 Calories a day, yet another dog of mass 20kg. and surface area 7500 sq. cm. needed 920 Calories a day. (a) Do the calorie requirements correlate better with mass or surface area? Explain what you would expect. How precise would you expect the correlation to be? (b) Make an estimate of your own mass and surface area, and, assuming you are doglike for purposes of this question, how many calories do you need a day to stay alive, without exercise and at constant weight? (Hint on surface area: how big a towel will pretty much cover all your skin?) (You can find out more about the dogs— and humans—by Googling Meeh coefficient.) 2. You probably eat about 2% of your weight in food each day. Assuming that figure, estimate or find out what fraction of its weight a mouse eats daily, and explain why it needs that amount.
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