U-tube with Equilibrium Configuration

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SUMMARY

The discussion centers on a physics problem involving a U-tube partially filled with mercury and water, requiring the calculation of the height difference between the two liquids in equilibrium. Given that the height of water in one arm, h2, is 1.51 cm, participants are tasked with determining the corresponding height, h1, in the other arm using principles of fluid mechanics, specifically Pascal's law. The problem emphasizes the relationship between the heights of the fluids and their densities to achieve equilibrium.

PREREQUISITES
  • Understanding of Pascal's law in fluid mechanics
  • Knowledge of hydrostatic pressure and its calculations
  • Familiarity with the properties of mercury and water
  • Basic algebra for solving equations related to fluid heights
NEXT STEPS
  • Study the application of Pascal's law in various fluid systems
  • Explore hydrostatic pressure calculations in U-tube configurations
  • Investigate the density differences between mercury and water
  • Practice solving equilibrium problems involving multiple fluids
USEFUL FOR

Students studying physics, particularly those focusing on fluid mechanics, as well as educators looking for practical examples of equilibrium in fluid systems.

mparsons06
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Homework Statement



A U-tube of uniform cross-sectional area, open to the atmosphere, is partially filled with mercury. Water is then poured into both arms. If the equilibrium configuration of the tube is as shown in the figure, with h2 = 1.51 cm, determine the value of h1.

uTube01.png


I'm not really sure where to start. Can someone help me please?
 
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Think of Pascal's law.

ehild
 

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