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AP Physics 1
8.4 Fluids and Conservation Laws
8.2 Pressure
AdvancedMCQMathematicalProportional Analysis25.3k
Two open tanks with different liquids draining through identical base nozzles.
Two open tanks with different liquids draining through identical base nozzles.
Two identical large cylindrical tanks, open to the atmosphere at the top, are filled with ideal, incompressible liquids as shown. Tank 1 is filled to a height \(h_0\) with a liquid of density \(\rho_0\), and Tank 2 is filled to a height \(4h_0\) with a liquid of density \(2\rho_0\). Both tanks drain into the atmosphere through identical small circular openings of cross-sectional area \(A_0\) at their base, where \(A_0 \ll A_{\text{tank}}\). Immediately after the openings are uncapped, what is the ratio of the rate of kinetic energy exiting Tank 2 to that exiting Tank 1, \(\dfrac{(dK/dt)_2}{(dK/dt)_1}\)?

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