The food calorie, equal to 4186 J, is a measure of how much energy is released when food is metabolized by the body. A certain brand of frui

Question

The food calorie, equal to 4186 J, is a measure of how much energy is released when food is metabolized by the body. A certain brand of fruit-and-cereal bar contains 150 food calories per bar. Part A If a 68.0 kg hiker eats one of these bars, 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?

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Thiên Ân 5 years 2021-09-05T02:00:32+00:00 1 Answers 24 views 0

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  1. thucuc
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    2021-09-05T02:02:28+00:00
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    Answer:

    The hiker has to climb 941.26 to ”work off” the calories.

    Explanation:

    Let’s first find out how much energy the hiker gets from 150 food calories.

    This is:

    Energy = 150 * 4186

    Energy = 627.9 kJ

    To burn all of this off, we set it equal to the gravitational potential energy, and then solve for the height.

    This is:

    Gravitational Potential Energy (G.P.E) = 629700

    G.P.E = mass * gravity * height

    Thus,

    mass * gravity * height = 629700

    68 * 9.81 * height = 629700

    height = 941.26 meters

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