An electrical short cuts off all power to a submersible diving vehicle when it is a distance of 29 m below the surface of the ocean. The cre

Question

An electrical short cuts off all power to a submersible diving vehicle when it is a distance of 29 m below the surface of the ocean. The crew must push out a hatch of area 0.950 m2 and weight 390 N to escape.

If the pressure inside is 1.0atm, what downward force must they exert on the hatch to open it?

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Verity 2 months 2021-07-26T17:45:22+00:00 1 Answers 46 views 0

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    2021-07-26T17:46:35+00:00

    Answer:

    277983.465 N

    Explanation:

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

    g = Acceleration due to gravity = 9.81 m/s²

    h = Depth = 29 m

    w = Force = 390 N

    A = Area = 0.95\ m^2

    Force in the system would be

    F=(\rho gh)A-w\\\Rightarrow F=(1030\times 9.81\times 29)\times 0.95-390\\\Rightarrow F=277983.465\ N

    The downward force must they exert on the hatch to open it is 277983.465 N

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