Certain underwater vehicles are capable of exploring some of the deepest regions of the ocean. consider the density of seawater to be 1025 kg/m3. if such a vehicle were submerged to a depth of 8513 m below the surface, what force would be exerted on the vehicle's observation window (radius = 9.3 cm)?

The pressure exerted by the water at a depth of h=8513 m below the surface is given by Stevin's law:

where
is the atmospheric pressure
is the water density
is the gravitational acceleration
is the depth

If we plug the numbers into the formula, we find the pressure exerted on the window of the vehicle:


The area of the window is


And so the force exerted on the window is

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