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A certain thin-walled metal spherical shell is filled with helium so that when released it will...

A certain thin-walled metal spherical shell is filled with helium so that when released it will float

upward through the air with a terminal speed of 1.20 m/s. It floats upward because air exerts a buoyant

force on the shell due to the volume of air displaced by the shell and the fact than the overall density of

the helium-filled shell is less than the density of the surrounding air. The drag coefficient of the shell is

0.500, the air density is 1.30 kg/m3, and the diameter of the shell is 164 centimeters. When the shell is

injected with sufficient mercury to double its mass, the shell will fall through the air with the same

terminal speed (1.20 m/s). The buoyant force on the shell is not affected by the injection of the mercury,

which increases the overall density of the shell. Calculate the mass of mercury injected into the shell.

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