Question

The two dams are identical with the exception that the water reservoir behind dam A extendstwice the horizontal distance behind it as that of dam B. Which one of the following statementsregarding these dams is correct?A) The force exerted by the water on dam A is greater than that on dam B. B) The force exerted by the water on dam B is greater than that on dam A. C) Dam A is more likely to collapse than dam B if the water level rises. D) Dam B is more likely to collapse than dam A if the water level rises. E) The horizontal distance of the water behind the two dams does not determine the force onthem

Answer 1

As per Fluid Mechanics the correct statement is the force exerted by the water on dam A is greater than that on dam B.

Although two dams are identical in flow but dam A extends twice the horizontal distance.

As per Fluid mechanics the concept of Laminar Flow the equation is represented as -

$dF=\alpha \frac{kx}{y} \\\\F=\int\limits^a_b\alpha \frac{kx}{y} \\\\\\\\F=\int\limits^a_b \alpha \frac{kx}{y} \, dx -------[ limits]$

Bernoulli 's thesis states that extension creates more work to complete the task.

Mathematically , $\\\\\\\\Work= FdX$

Work is directly proportional to force applied.

So Dam A having more extensions have more force.

To learn more about Laminar Flow-

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