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Calculate the hydrostatic force on a vertical plane submerged in two layers of liquid (oil and water), given their densities and depths.

Physics

ScanSolve AI Answer

Step 1: Identify the given parameters and divide the submerged plane into sections.
The vertical plane is submerged in two layers of liquid:

  • Top layer: Oil with density ρoil=800 kg/m3\rho_{\text{oil}} = 800 \text{ kg/m}^3 and depth hoil=1 mh_{\text{oil}} = 1 \text{ m}.
  • Bottom layer: Water with density ρwater=1000 kg/m3\rho_{\text{water}} = 1000 \text{ kg/m}^3 and depth hwater=2 mh_{\text{water}} = 2 \text{ m}. Let the width of the plane be bb. The acceleration due to gravity is g=9.81 m/s2g = 9.81 \text{ m/s}^2.

The plane can be

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