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14 . A submarine is operating at 100.0 m below the surface of the ocean. If the

ID: 1409244 • Letter: 1

Question

14.A submarine is operating at 100.0 m below the surface of the ocean. If the air inside the submarine is maintained at a pressure of 1.0 atmosphere, what is the magnitude of the force that acts on the rectangular hatch 2.0 m 1.0 m on the deck of the submarine? 14.A submarine is operating at 100.0 m below the surface of the ocean. If the air inside the submarine is maintained at a pressure of 1.0 atmosphere, what is the magnitude of the force that acts on the rectangular hatch 2.0 m 1.0 m on the deck of the submarine? 14.A submarine is operating at 100.0 m below the surface of the ocean. If the air inside the submarine is maintained at a pressure of 1.0 atmosphere, what is the magnitude of the force that acts on the rectangular hatch 2.0 m 1.0 m on the deck of the submarine?

Explanation / Answer

Using the density () of sea water of about 1027 kg/m³

Since = m/v

The force ultimately comes from the weight of the column of water above the area in question. In this case it's a rectangular column of height of 100 m and cross-sectional area of the window 2 m x 1 m.

...and m = v = 1027*200 = 205400 kg

Then F = mg = 2012920 N

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