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Classical Mechanics

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Moderate

Density and Pressure: Water Tower

CLMECH-DPZAPB

A tall cylindrical container of full of water has a series of exit holes at various heights that can be closed or opened at will.

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Which of the following formulas gives the initial speed of the water as it exits the container as a function of the depth from the top, $h$, and the acceleration due to gravity $g$?

A

$2\,g\,h$

B

$\sqrt{2\,g\,h}$

C

$\sqrt{\frac{g\,h}{2}}$

D

$\rho\,\sqrt{2\,g\,h}$