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4 July, 23:05

a raft of dimensions 2m wide by 3m long by. 5m thick is floating in a pond if one fourth of the raf is submerged find the density of the raft material

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  1. 4 July, 23:15
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    250 kg/m3

    Explanation:

    The total volume of the raft is length times width times height

    V = lwh = 2 * 3 * 0.5 = 3 m cubed

    The volume of the raft that is submerged in water is 1/4 of total volume

    3 / 4 = 0.75 m cubed

    Let water density = 1000 kg/m cubed and g = 10 m/s2

    The buoyant force is equal to the weight of water displaced by the raft

    F = 0.75 * 1000 * 10 = 7500 N

    This force is balanced by the raft weight, so the weight of the raft is also 7500N

    Mass of raft is 7500 / g = 7500 / 10 = 750 kg

    Raft density is mass divided by volume = 750 / 3 = 250 kg/m3
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