Calculating Rise of Mercury in U-tube with Water

AI Thread Summary
To determine how high the mercury rises in the left arm of a U-tube when 12.3 cm of water is added to the right arm, the difference in pressure between the two sides must be calculated. The pressure exerted by the water column can be equated to the pressure difference created in the mercury column. Using the densities of water (1000 kg/m³) and mercury (13534 kg/m³), the height of the mercury rise can be derived from the height of the water column. The discussion emphasizes the relationship between fluid density and pressure in a U-tube setup. Understanding these principles is crucial for solving the problem accurately.
tigers4
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Homework Statement


A simple open U-tube contains mercury. When 12.3 cm of water is poured into the right arm of the tube, how high above its initial level does the mercury rise in the left arm?



Homework Equations


density of water=1000kg/m^3
density of mercury=13534 kg/m^3



The Attempt at a Solution


no clue, I am assuming it has something to do with density
 
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hi tigers4! :smile:

hint: if the mercury is h higher on one side than the other, what is the difference in pressure between the bottoms of the two sides of the U-tube? :wink:
 
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