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21 February, 19:49

A scuba diver and her gear displace a volume of 68.5 L and have a total mass of 71.8 kg. Part A What is the buoyant force on the diver in sea water? FB = nothing N Request Answer Part B Will the diver sink or float?

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  1. 21 February, 20:55
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    A) Fb = 671.3 N

    B) The diver will sink.

    Explanation:

    A)

    The buoyant force applied on an object by a fluid is given by the following formula:

    Fb = Vρg

    where,

    Fb = Buoyant Force = ?

    V = Volume of the water displaced by the object = 68.5 L = 0.0685 m³

    ρ = Density of Water = 1000 kg/m³

    g = 9.8 m/s²

    Therefore,

    Fb = (0.0685 m³) (1000 kg/m³) (9.8 m/s²)

    Fb = 671.3 N

    B)

    Now, in order to find out whether the diver sinks or float, we need to find weight of the diver with gear.

    W = mg = (71.8 kg) (9.8 m/s²)

    W = 703.64 N

    Since, W > Fb. Therefore, the downward force of weight will make the diver sink.

    The diver will sink.
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