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Sun 6 Jan, 2013 11:29 am
In space, dropped items in the cabin accelerate to the floor at 10^-6g, where g is the usual value back at earth. In this micro-gravity environment, a helium-flled balloon can support a 0.1 kg mass of yogurt at rest. CALCULATE THE VOLUME OF HELIUM GAS NEEDED, given the following data.

Mass of empty balloon = 0.01 kg
density of helium = 0.2 kg/m^3
Density of cabin air = 1.2 kg/m^3

State any assumptions
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Voyager

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Mon 25 Aug, 2014 12:35 am
@greatestever298,
It is already old, but still remains unsolved

The Archimed's force, that gives cause to buoyancy, is B=d.V.a, where:

B is the vertical up force
d is the density of the fluid
V is the submersed volume
a is the local gravity acceleration

as the baloon stays in equilibrium, not moving up or down, B=ma, so we have

total mass = helium mass + baloon mass + yogurt mass

helium mass = 0.2 x V

(0.2V+0.01+0.1)x 10^-5=1.2 x V x 10^-5
0.11+0.2V=1.2 V
V=0.11m³
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