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17 June, 06:08

A large ebony wood log, totally submerged, is rapidly floating down a flooded river. If the mass of the log is 165 kg, what is the buoyant force acting on the submerged log?

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  1. 17 June, 06:31
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    F = 1618.65[N]

    Explanation:

    To solve this problem we use the following equation that relates the mass, density and volume of the body to the floating force.

    We know that the density of wood is equal to 750 [kg/m^3]

    density = m / V

    where:

    m = mass = 165[kg]

    V = volume [m^3]

    V = m / density

    V = 165 / 750

    V = 0.22 [m^3]

    The floating force is equal to:

    F = density * g * V

    F = 750*9.81*0.22

    F = 1618.65[N]
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