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Physics / Physics: Principles with Applications 6 / Chapter 11 / Problem 23PE

Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

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Show that the total force on a rectangular dam due to the

Chapter 5, Problem 23PE

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QUESTION:

Show that the total force on a rectangular dam due to the water behind it increases with the square of the water depth. In particular, show that this force is given by ?F ? ? ?gh2?L/ 2 ,?where ?? is the density of ?wate? is its depth at the da? , and? is the length of the dam. You may assume the face of the dam is vertical. (Hint: Calculate the average pressure exerted and multiply this by the area in contact with the water. (See Figure 11.42.)

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QUESTION:

Show that the total force on a rectangular dam due to the water behind it increases with the square of the water depth. In particular, show that this force is given by ?F ? ? ?gh2?L/ 2 ,?where ?? is the density of ?wate? is its depth at the da? , and? is the length of the dam. You may assume the face of the dam is vertical. (Hint: Calculate the average pressure exerted and multiply this by the area in contact with the water. (See Figure 11.42.)

ANSWER:

Step-by-step solution Step 1 of 5 Formula is used to find pressure due to the weight of fluid. It can also be used to determine the force or pressure exerted on the face of a damp.

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