Advanced mathematics question - grab your Tylenol before reading

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  • Woobie

    Grandmaster
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    Dec 19, 2014
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    Losantville
    I have a guess as to where that 80lb pack originated, and while I admire the effort, I'm sure I can get most of those items at a considerable weight savings. Take food, for example. An MRE weighs in at about a pound and a half, I can get a day's worth of food in about half that weight.

    Oh I know you can.
     

    Alpo

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    Sep 23, 2014
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    Indy Metro Area
    Too many dynamics to accurately determine the answer. For example, the guy carrying 25 pounds is going to expend more calories per given time, resulting in lower body weight. At what point does he become the 175 pound hiker carrying 25 pounds? And, for his body type, is he more efficient with a higher muscle to body mass ratio?
     

    rosejm

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    Nov 28, 2013
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    NWI
    This really is a linear equation type question, and not all that difficult.

    It really only get interesting if you start to calculate differences based on food/fuel/water requirements which will vary over the course of a day/3-5 days.
    THAT'S when we need to start using calculus and differential equations.
     

    Bigtanker

    Cuddles
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    Aug 21, 2012
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    Osceola

    I got the same answer. Here's my work.

    maxresdefault.jpg
     

    Thegeek

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    Jan 20, 2013
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    Indianapolis
    Work = Mass * Gravity * Height

    So that's only applicable if you're lifting the pack straight up.
    Not exactly... but the easiest to calculate. In this case, it would be the work to raise it, the energy necessary to counteract gravity for the duration of the trip, and the net altitude displacement (plus about a hundred more little factors). It would be the summation of Fs for nearly every moment in the trip.
     
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