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Two balloons are held underwater by very long cables.Each balloon is filled with air. The balloons each of a 2?
Two balloons are held underwater by very long cables.Each balloon is filled with air. The balloons each of a 2m diameter (r =1m). Each balloon is held at a depth of 10m. The center to center distance is 2.1 m
What is the attractive/repulsive force between the balloons. Ignore the density of the balloon skin.
Calculate the pressure under 10 meters of water, which would be the air pressure in the balloons. Calculate the amount of air in each one. Then use the gravitational force equation to get the attraction for each other due to gravity.
I assume you mean the attraction due to gravity as there is no other obvious forces present that can cause the two balloons to be attracted.
Pfluid = ρgh
Pfluid is pressure in Pa or N/m²
ρ is the density of the fluid in kg/m³
density of water at 20C = 0.998 g/cm³ = 998 kg/m³
density of seawater = 1.025 g/cm³ = 1025 kg/m³
g is the acceleration of gravity 9.8 m/s²
h is the height of the fluid above the object in m
Ptotal = Patmosphere + Pfluid
Patmos = 1.01e5 N/m² or 101 kPa
Gravitational attraction in newtons
F = G m₁m₂/r²
G = 6.67e-11 m³/kgs²
m₁ and m₂ are the masses of the two objects in kg
r is the distance in meters between their centers (center of mass)
.
9-year-old set to become youngest balloonist to solo
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