U-shaped tube- how far does the mercury rise when water is poured into one side?

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SUMMARY

The discussion focuses on calculating the rise of mercury in a U-shaped tube when water is poured into one side, specifically when the water column reaches a depth of 15.0 cm. The relevant equations for this problem are P = P0 + density(gh) and P = P0 + (density*h)(g), which relate pressure to height and density. The key conclusion is that the pressure exerted by the water column must equal the pressure difference created by the mercury columns, allowing for the determination of how much the mercury rises in the right arm.

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  • Knowledge of density and its role in fluid behavior
  • Basic algebra for solving equations
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Students in physics, particularly those studying fluid mechanics, as well as educators and anyone interested in understanding the principles of pressure in U-shaped tubes.

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U-shaped tube-- how far does the mercury rise when water is poured into one side?

Homework Statement


A U-shaped tube containing mercury is open to the air on both ends. Water is poured into one arm until the water column is 15.0 cm deep. How far upward from the initial position does the mercury in the right arm rise?


Homework Equations


P = P0+density(gh)
P = P0+(density*h)(g)


The Attempt at a Solution


I am not sure how to go about this solution!
 
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The pressure from the water column must match the pressure from the difference in the mercury columns. Once you know this difference it's easy to find how much the mercury in the right arm has risen.
 

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