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- Homework Statement
- A U-tube with both ends open is filled with a liquid of density to a height h on both sides (See attachment). A liquid of density is poured into one side and Liquid 2 settles on top of Liquid 1. The heights on the two sides are different. The height to the top of Liquid 2 from the interface is and the height to the top of Liquid 1 from the level of the interface is . Derive a formula for the height difference.

- Relevant Equations
- ##p = p_0 + \rho gh##

Pressure on side with liquid 1 = ##p_0 + \rho_1gh_1##

Pressure on side with liquid 2 = ##p_0 + \rho_2gh_2##

The solution sets the two pressures equal. I am confused how the two sides have the same amount of pressure, one would have more than the other.

Pressure on side with liquid 2 = ##p_0 + \rho_2gh_2##

The solution sets the two pressures equal. I am confused how the two sides have the same amount of pressure, one would have more than the other.