Height of oil of above water U cylinders

AI Thread Summary
The discussion revolves around calculating the height of oil above water in a U-shaped tube. A 10 cm column of oil with a density of 800 kg/m^3 is added to one side, while the water has a density of 1000 kg/m^3. The correct approach involves setting the pressures equal, leading to the equation (800)(10) = (1000)(H). Solving this gives H as 8 cm, and subtracting this from the initial oil height results in 2 cm. The final consensus confirms that the height of the oil above the water is indeed 2 cm.
coldsteel
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An open U shaped tube is initially partially filled with water (ρ=1000 kg/m^3). A 10 cm high column of oil (ρ=800 kg/m^3) is poured into the right side of the tube. What is the height of the oil above the water?



I set the water and oil equal to each other. (800)(10)(9.8)=(1000)(H)(9.8)



Using that equation I solved for H to get 8 cm. I then took 10cm the height of oil - the 8 cm from the water to get 2cm. Is this correct?
 
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Yes, that's the right logic.
 
so 2cm is the correct answer?
 
coldsteel said:
so 2cm is the correct answer?

Yes.
 

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