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will pressure vary with width?
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Note that the pressure found in part (a) is completely independent of the width and length of the lake—it depends only on its average depth at the dam. Thus the force depends only on the water's average depth and the dimensions of the dam, not on the horizontal extent of the reservoir.
Explanation:
Pressure and depth have a directly proportional relationship. This is due to the greater column of water that pushes down on an object submersed. Conversely, as objects are lifted, and the depth decreases, pressure is reduced.
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