4) Some fish that evolved to live at extreme depths essentially explode if they are Petad by an atumatca dert tten 2 | L07.02.nb brought to the surface. This happens for the same reason that you would essentially implode if you tried to go down to visit them without a very special submarine. Let us approximate the cross sectional area of a fish (as viewed from above) that might live in the Mariana Trench to be a rectangle of 2 cm x 10 cm = 20 cm² = 2 × 10-5 m³. Calculate the force this fish would feel pushing down on it due to the ocean water above it. A) 8 x 10° Pa B) 8 - 10" Pa C) 6x10" Pa D) 8 - 10“ Pa E) 9- 10" Pa F) 1- 10 Pa As an aside, even though this result is mind-boggling, the truth is even greater than this (for two rea- sons)! To perform this calculation, we assume the gravitational acceleration is constantly 9.81 : While this is a fine assumption most of the time, as we have seen in the course, the value of g actually changes as you go farther from the surface of the Earth. At this depth its magnitude would be greater than 9.81, so the pressure calculation underestimates the actual pressure. For the same reason, and the fact that fluids aren't technically incompressible, the density increases a bit as you go deeper into the ocean. Both these small errors in our approximations mean the pressure and thus the force here is larger than what this calculation shows.

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8th Edition
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.9P: When a sphere falls freely through a homogeneous fluid, it reaches a terminal velocity at which the...
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4) Some fish that evolved to live at extreme depths essentially explode if they are
Prirted by Woltam Mathematca Sudert Edten
2 | LO7.02.nb
brought to the surface. This happens for the same reason that you would
essentially implode if you tried to go down to visit them without a very special
submarine. Let us approximate the cross sectional area of a fish (as viewed from
above) that might live in the Mariana Trench to be a rectangle of
2 cm x 10 cm = 20 cm? = 2 × 10-5 m³. Calculate the force this fish would feel
pushing down on it due to the ocean water above it.
A) 8 x 10° Pa
B) 8 - 10" Pa
C) 6x10" Pa
D) 8 - 10“ Pa
E) 9. 10" Pa
F) 1 10" Pa
As an aside, even though this result is mind-boggling, the truth is even greater than this (for two rea-
sons)! To perform this calculation, we assume the gravitational acceleration is constantly 9.81.
While this is a fine assumption most of the time, as we have seen in the course, the value of g actually
changes as you go farther from the surface of the Earth. At this depth its magnitude would be greater
than 9.81, so the pressure calculation underestimates the actual pressure. For the same reason, and
the fact that fluids aren't technically incompressible, the density increases a bit as you go deeper into
the ocean. Both these small errors in our approximations mean the pressure and thus the force here is
larger than what this calculation shows.
Transcribed Image Text:4) Some fish that evolved to live at extreme depths essentially explode if they are Prirted by Woltam Mathematca Sudert Edten 2 | LO7.02.nb brought to the surface. This happens for the same reason that you would essentially implode if you tried to go down to visit them without a very special submarine. Let us approximate the cross sectional area of a fish (as viewed from above) that might live in the Mariana Trench to be a rectangle of 2 cm x 10 cm = 20 cm? = 2 × 10-5 m³. Calculate the force this fish would feel pushing down on it due to the ocean water above it. A) 8 x 10° Pa B) 8 - 10" Pa C) 6x10" Pa D) 8 - 10“ Pa E) 9. 10" Pa F) 1 10" Pa As an aside, even though this result is mind-boggling, the truth is even greater than this (for two rea- sons)! To perform this calculation, we assume the gravitational acceleration is constantly 9.81. While this is a fine assumption most of the time, as we have seen in the course, the value of g actually changes as you go farther from the surface of the Earth. At this depth its magnitude would be greater than 9.81, so the pressure calculation underestimates the actual pressure. For the same reason, and the fact that fluids aren't technically incompressible, the density increases a bit as you go deeper into the ocean. Both these small errors in our approximations mean the pressure and thus the force here is larger than what this calculation shows.
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