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AP Physics 1
8.3 Fluids and Newton’s Laws
8.1 Internal Structure and Density
2.5 Newton’s Second Law
2.1 Systems and Center of Mass
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AdvancedMCQProportional AnalysisConceptual19.6k
Submerged model submarine tethered inside a container of liquid resting on a scale.
Submerged model submarine tethered inside a container of liquid resting on a scale.
A container of mass \(M_{\text{tank}}\) filled with a liquid of mass \(M_{\text{liq}}\) rests on an electronic scale. A small, rigid model submarine of mass \(M_{\text{sub}}\) and fixed volume \(V_0\) is completely submerged in the liquid and held in place by a taut, light vertical string anchored to the bottom of the container. Initially, the liquid has uniform density \(\rho_1\), where \(\rho_1 V_0 > M_{\text{sub}}\), and the system is in static equilibrium. The liquid is then uniformly heated, decreasing its density to \(\rho_2\), where \(\rho_2 V_0 > M_{\text{sub}}\) still holds, while the volume of the submarine and the total mass of the liquid remain unchanged. How do the tension in the string and the normal force exerted by the scale on the container after heating compare to their initial values before heating?

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