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

AI Thread Summary
When water is poured into one side of a U-shaped tube containing mercury, the pressure exerted by the water column must equal the pressure difference in the mercury columns. The water column is 15.0 cm deep, which creates a specific pressure that affects the mercury levels. To find how far the mercury rises in the right arm, the pressure from the water must be calculated and matched with the mercury's pressure difference. This involves using the equations for pressure, factoring in the densities of water and mercury. Ultimately, the solution requires equating the pressures to determine the mercury's rise in the right arm.
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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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