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13 August, 09:50

A 170 lb fire fighter is carrying 75 lb of equipment up (10 in.) stairs. There are 15 stairs per story in this building. How many dietary calories does the fire fighter burn in climbing 10 flights of stairs

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  1. 13 August, 13:29
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    Number of calories burned = 243.93

    Explanation:

    1 dietary calorie = 4184 Joules

    Total stairs the fire fighter has to climb = 10 * 15 = 150

    Total increase in height climbing 150 stairs = 10 * 150 = 1150 inches

    Total increase in height climbing 150 stairs = 95.83 ft

    Total mass of fire fighter and equipment = 245 lb

    Total work done = change in Gravitational potential energy

    Total work done = mass * gravity * height

    Total work done = 245 * 32.2 * 95.83 = 756002.9 foot-pound of energy

    Converting this into joules we get: 756002.9 * 1.35 = 1020603.9 Joules

    Number of calories burned = Joules of work / joules in one calorie

    Number of calories burned = 1020603.9 / 4184

    Number of calories burned = 243.93
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