Fluid Mechanics
What is the force required (in Newtons) to hold a spherical balloon stationary in water at a depth of H from the air-water iterface? The balloon is of radius 0.1 m and is filled with air.

0.01πgH/4
0.01πgH/8
0.04πgH/3
4πg/3

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Fluid Mechanics
The Prandtl mixing length is

Independent of the shear stress
Zero at the pipe wall and is a universal constant
Useful for computing laminar flow problems
Independent of radial distance from the pipe axis

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