Pressure problem but without any given values. How?

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Homework Help Overview

The discussion revolves around a problem comparing the structural requirements of two dams: one holding back a large lake and the other a narrow river. The original poster seeks to understand how to mathematically demonstrate which dam needs to be built more strongly, despite lacking specific numerical values.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to prove their reasoning regarding the strength needed for the dams without numerical values, expressing a desire to show the answer in ratio form. Some participants question the understanding of hydrostatic pressure and introduce the concept of the hydrostatic paradox.

Discussion Status

The discussion is ongoing, with participants exploring concepts related to hydrostatic pressure and its implications for dam construction. There is no explicit consensus yet, but guidance on relevant concepts has been introduced.

Contextual Notes

The original poster notes the absence of given values, which may limit their ability to provide a mathematical proof for their reasoning.

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Homework Statement


Both dams equally wide and equally high. The first dam holds back a very large lake, and the second dam holds back a narrow river.


Homework Equations


Which dam has to be built more strongly?
a.) the first dam
b.) the second dam
c.) both


The Attempt at a Solution



i know it would be the second dam that holds back a narrow river, but how can i prove it mathematically/algebraically?
how can i show the answer in ratio? -.-

i need your help please.

thanks!
 
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Do you know what the hydrostatic pressure is?
 
yes. but my problem is, there is no any given values/numbers. i know what to answer but i can't prove it.. :(
 

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