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A duck is floating on water with 26% of its total volume submerged below the surface. If the duck has a mass of 2.6kg, what is the duck’s total volume? You must show all necessary work, the density of water is 1000kg/m3.

  • physics -

    Let V be the volume of the duck.
    Weight of displaced water = weight of the duck
    0.26•V•ρ•g= mg
    0.26•V•1000•g =mg
    260 V = m

    The density of the duck is
    ρ= m/V= 260 V/V= 260 kg/m³
    V= m/V=2.6/260=0.01 m³

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