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A rectangular vessel is filled with wate...

A rectangular vessel is filled with water and oil in equal proportion (by volume), the oil being twice lighter than water. Show that the force on ach side wall of the vessel will be reduced by one fifth it the vessel is filled only with oil. (Assume atmospheric pressrue is negligible)

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To solve the problem, we need to analyze the forces acting on the side walls of a rectangular vessel filled with water and oil in equal proportions. We will compare the force on the side walls when the vessel is filled with both fluids versus when it is filled only with oil. ### Step-by-Step Solution: 1. **Define the Variables:** - Let the density of oil be \( \rho \). - Since oil is twice lighter than water, the density of water is \( 2\rho \). - Let the height of the liquid column be \( h \). ...
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