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10 December, 10:28

At a certain elevation, the pilot of a balloon has a mass of 120 lb and a weight of 119 lbf. What is the local acceleration of gravity, in ft/s2, at that elevation? If the balloon drifts to another elevation where g = 32.05 ft/s2, what is her weight, in lbf, and mass, in lb?

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  1. 10 December, 11:30
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    1) g=31.87ft/s^2

    2) m=120

    W=119.64lbf

    Explanation:

    first part

    the weight of a body with mass is calculated by the following equation

    W=mg

    we convert 120lb to slug

    m=120lbx1slug/32.147lb=3.733slug

    solving for g

    g=W/m

    g=119/3.733=31.87ft/s^2

    second part

    the mass is the same

    m=120lb=3.733slug

    Weight

    W=3.733slug*32.05ft/s^2=119.64lbf
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