The food calorie, equal to 4186 J, is a measure of how much energy is released when food is metabolized by the body. A Milo Bar contains 180 food calories per bar. (a) If a 70-kg hiker eats one Milo Bar, how high a mountain must he climb to “work off” the calories, assuming that all the food energy goes only into increasing gravitational potential energy? (b) If, as is typical, only 20% of the food calories go into mechanical energy, what would be the answer to part (a)? (NOTE: In this problem, we assume that 100% of the food calories that are eaten are absorbed and used by the body. This is actually not true. A person’s “metabolic efficiency” is the percentage of calories eaten that are actually used; the rest are eliminated by the body. Metabolic efficiency varies considerably from person to person.)

(a) The change in gravitational potential energy of the person is obtained as; ΔU=mgΔym is the mass…

Answered: The food calorie, equal to 4186 J, is a…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter11: Energy And Its Conservation

Section: Chapter Questions

Problem 82A

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The food calorie, equal to 4186 J, is a measure of how much energy is released when food is metabolized by the body. A Milo Bar contains 180 food calories per bar. (a) If a 70-kg hiker eats one Milo Bar, how high a mountain must he climb to “work off” the calories, assuming that all the food energy goes only into increasing gravitational potential energy? (b) If, as is typical, only 20% of the food calories go into mechanical energy, what would be the answer to part (a)? (NOTE: In this problem, we assume that 100% of the food calories that are eaten are absorbed and used by the body. This is actually not true. A person’s “metabolic efficiency” is the percentage of calories eaten that are actually used; the rest are eliminated by the body. Metabolic efficiency varies considerably from person to person.)

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