MHB Calculate Buoyant Force of 2.00L Helium Balloon

AI Thread Summary
To calculate the buoyant force on a 2.00 L helium balloon, apply Archimedes' principle, which states that the buoyant force equals the weight of the fluid displaced. The buoyant force can be expressed as B = ρ_fluid * V_fluid * g, where ρ_fluid is the density of the fluid (air), V_fluid is the volume of the balloon, and g is the acceleration due to gravity. To find the mass of the air displaced, use m = ρ * V, where ρ is the density of air and V is the volume of the balloon. The calculation ultimately leads to determining the weight of the 2.00 L of air to find the buoyant force acting on the helium balloon. Understanding these principles is essential for accurately calculating buoyant forces in fluid dynamics.
cbarker1
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Calculate the buoyant force (in N) on a 2.00 L helium balloon.

Work:

Upward is Buoyant
Downward is weight due to gravity

$$\Sigma F=0$$
$B-mg=0$
$B=mg$
$\rho=m/V$
$m=\rho*V$
$B=\rho_{fluid}*V_{fluid}*g$

I am stuck on $m=\rho*V$. Am I missing something?
 
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I would use:

[box=blue]
Archimedes' principle
Any object, wholly or partially immersed in a fluid, is buoyed up by a force equal to the weight of the fluid displaced by the object.[/box]

So, you need only find the weight of 2.00 L of air. :)
 
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