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15 August, 13:59

Calculate the buoyant force due to the surrounding air on a man weighing 700 n. assume his average density is the same as that of water. suppose that the density of air is 1.20 kg/m3. express your answer to two significant figures and include the appropriate units.

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  1. 15 August, 14:28
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    The buoyant force is represented by the weight of the air which is displaced by the body.

    The weight of the displaced air can be calculated using the following rule:

    weight of displaced air = (density) (volume) (gravitational force)

    where "volume" is the volume of the body (the man in our case) and density is the density of air ( = 1000 kg/m^3)

    So, we need to calculate the volume of the man:

    weight = gravitational force x volume

    700 n = 9.8 x volume

    Therefore, volume of man = 71.428 m^3

    Substituting with this volume along with the gravitational force and density in the above equation, we can calculate the buoyant force as follows:

    buoyant force = weight of air displaced = (1000) (71.428) (9.8)

    = 669.9944 x 10^3 n
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