An electrical short cuts off all power to a submersible diving vehicle when it is 30m below the surface of the ocean. The crew must push ou

Question

An electrical short cuts off all power to a submersible diving vehicle when it is 30m below the surface of the ocean. The crew must push out a hatch of area 0.75m^2 and weight 300 Non the bottom to escape. If the pressure inside is 1.0 atm, what downward force must the crew exert on the hatch to open it?

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King 2 weeks 2021-08-31T23:49:42+00:00 1 Answers 0 views 0

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    2021-08-31T23:51:17+00:00

    Answer:

    227046.75\ \text{N}

    Explanation:

    h = Depth = 30 m

    \rho = Density of seawater = 1030\ \text{kg/m}^3

    A = Area = 0.75\ \text{m}^2

    W = Weight = 300\ \text{N}

    g = Acceleration due to gravity = 9.81\ \text{m/s}^2

    The force balance of the system is given by

    F=\rho ghA-W\\\Rightarrow F=1030\times 9.81\times 30\times 0.75-300\\\Rightarrow F=227046.75\ \text{N}

    The downward force required to open the hatch is 227046.75\ \text{N}.

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