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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.

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.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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can you please do all of them. thank you

--- ### Pressure and Depth in Oceanic Biology #### 4) Some fish that evolved to live at extreme depths essentially explode if they are brought to the surface. *Printed by Wolfram Mathematics: Student Edition* 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 \(2 \, \text{cm} \times 10 \, \text{cm} = 20 \, \text{cm}^2 = 2 \times 10^{-3} \, \text{m}^2\). Calculate the force this fish would feel pushing down on it due to the ocean water above it. A) \(8 \times 10^9 \, \text{Pa} \) B) \(8 \times 10^{11} \, \text{Pa} \) C) \(6 \times 10^{12} \, \text{Pa} \) D) \(8 \times 10^{14} \, \text{Pa} \) E) \(9 \times 10^{11} \, \text{Pa} \) F) \(1 \times 10^{12} \, \text{Pa} \) --- #### Calculations and Assumptions: As an aside, even though this result is mind-boggling, the truth is even greater than this (for two reasons)! To perform this calculation, we assume the gravitational acceleration is constantly \(9.81 \, \text{m/s}^2\). 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. --- Explain these concepts and solve problems like this and more on our Educational website!
Transcribed Image Text:--- ### Pressure and Depth in Oceanic Biology #### 4) Some fish that evolved to live at extreme depths essentially explode if they are brought to the surface. *Printed by Wolfram Mathematics: Student Edition* 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 \(2 \, \text{cm} \times 10 \, \text{cm} = 20 \, \text{cm}^2 = 2 \times 10^{-3} \, \text{m}^2\). Calculate the force this fish would feel pushing down on it due to the ocean water above it. A) \(8 \times 10^9 \, \text{Pa} \) B) \(8 \times 10^{11} \, \text{Pa} \) C) \(6 \times 10^{12} \, \text{Pa} \) D) \(8 \times 10^{14} \, \text{Pa} \) E) \(9 \times 10^{11} \, \text{Pa} \) F) \(1 \times 10^{12} \, \text{Pa} \) --- #### Calculations and Assumptions: As an aside, even though this result is mind-boggling, the truth is even greater than this (for two reasons)! To perform this calculation, we assume the gravitational acceleration is constantly \(9.81 \, \text{m/s}^2\). 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. --- Explain these concepts and solve problems like this and more on our Educational website!
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