Will the column of water flow to the lower level with equal pressure?

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Idea04
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Homework Statement


If you have a column of water that stands 1 foot in the air vertically, and at the bottom of the column you had a supply of water that was 1 inch high. And both of the water supplies had a pressure of 15psi. would the water flow from the column of water 1 foot in the air to the lower level?


Homework Equations





The Attempt at a Solution


I think it would flow but I'm noit quit sure, because the column of water that is 1 foot in the air would have a higher potential energy than the lower level water. But yet again water only flows to lower pressure regions, or would there be an exception in this cause, because water also flows to lower potential regions.
 
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this seems like a u-tube where both openings are exposed to atmosoheric pressure, with a twist, maybe? A pic or better description, maybe we can help.