Answer:
Explanation:
The buoyant force is equal to the weight of fluid shifted.
The weight of fluid shifted is equal to the volume of fluid shifted multiply by the specific weight of the fluid.
The specific weight of the fluid is equal to the density of the fluid multiply by the gravity acceleration.
If we define the volume of shifted fluid as ''V'', ''g'' as the gravity acceleration and ρ(fluid) (in this case air) as fluid density, the buoyant force is :
Buoyant force = V.g.ρ(fluid)
In this exercise :
Buoyant force = V(large body of helium).g.ρ(air)
where g = [tex]9.81\frac{m}{s^{2}}[/tex]
ρ(air) = [tex]1.29\frac{kg}{m^{3}}[/tex]
Finally, the upward buoyant force on this airship is proportional to the volume of the large body of helium and the air density (given that the gravity acceleration on Earth is constant)
