Calculating Water Force at the Bottom of the Mariana Trench: A Physics Problem

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Homework Help Overview

The problem involves calculating the force exerted by water at a depth of 10,650 m in the Mariana Trench on an underwater vehicle's circular window with a radius of 0.2 m. It also includes a comparison of this force to the weight of jetliners.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need to determine pressure at the specified depth and how to calculate the force based on the area of the window. There are questions about the appropriate equations to use, including the relationship between force, pressure, and area.

Discussion Status

Some participants express confusion regarding the problem setup and the necessary calculations. Guidance has been offered regarding the equations needed, but there remains uncertainty about how to apply them effectively. Multiple interpretations of the problem are being explored.

Contextual Notes

Participants note that only limited information is provided, specifically the density of salt water. There is also mention of the need to calculate the weight of a column of water and the area of the window to proceed with the problem.

whoknows123
I tried this for two nights and it doesn't make sense to me because my teacher did not go over it.

The bottom of the Mariana Trench, located in the Pacific Ocean, is about 11,000 m below the ocean's surface. If an underwater vehicle were exploring the region, at the depth of 10650 m,

a) what force would the water exert on the vehicle's circular winder, which has a radius of 0.2 m? ___N

b) The mass of a jetliner is 1.2 X 10^5 kg. Please fill in the following relationship:
the force on the window is as much as the weight of _______ jetliners.

Thanks a bunch.
 
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whoknows123 said:
I tried this for two nights and it doesn't make sense to me because my teacher did not go over it.

The bottom of the Mariana Trench, located in the Pacific Ocean, is about 11,000 m below the ocean's surface. If an underwater vehicle were exploring the region, at the depth of 10650 m,

a) what force would the water exert on the vehicle's circular winder, which has a radius of 0.2 m? ___N
What is the pressure (Force/area) at 10650 m of water? (ie. how much does a column of water 1 m square weigh?). What is the area of the window?

b) The mass of a jetliner is 1.2 X 10^5 kg. Please fill in the following relationship:
the force on the window is as much as the weight of _______ jetliners.
I think they mean the window of the underwater vehicle, not the jetliner, so use the answer in a) and compare it to the weight of 1.2x10^5 kg.

AM
 
Last edited:
nothing else is given except for what I wrote and density of salt water = 1025 kg/m^3
 
i'm just wondering what equations to use because in my mind, this problem is confusing to me.
 
whoknows123 said:
i'm just wondering what equations to use because in my mind, this problem is confusing to me.
The only equation you need is F = ma (where a = g). That and P = F/A (Force/Area). Do you know how to determine the weight of a column of water 10650 m high and 1 m square? That is all you need.

AM
 
whoknows123 said:
nothing else is given except for what I wrote and density of salt water = 1025 kg/m^3
So how many kg in 10650 cubic metres of salt water? How much does that weigh? So what is the pressure? What is the area of the window? So what is the force?

AM
 
i thought i would have to find pressure at depth and use the radius in some kind of way, I'm a little confused at what your saying
 
whoknows123 said:
i thought i would have to find pressure at depth and use the radius in some kind of way, I'm a little confused at what your saying
How do you find force on a window of Area A, at a particular pressure? What does pressure mean?

AM
 

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