earning Goal: To understand the derivation of the law relating height and pressure in a container. In this problem, you will derive the law relating pressure to height in a container by analyzing a particular system. A container of uniform cross-sectional area is filled with liquid of uniform de
Learning Goal: To understand the derivation of the law relating height and pressure in a container.
In this problem, you will derive the law relating pressure to height in a container by analyzing a particular system.
A container of uniform cross-sectional area is filled with liquid of uniform density . Consider a thin horizontal layer of liquid (thickness ) at a height as measured from the bottom of the container. Let the pressure exerted upward on the bottom of the layer be and the pressure exerted downward on the top be . Assume throughout the problem that the system is in equilibrium (the container has not been recently shaken or moved, etc.).
What is Fup , the magnitude of the force exerted upward on the bottom of the liquid?
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