Question

A researcher plans to release a weather balloon from ground level, to be used for high-altitude atmospheric measurements. The balloon is spherical, with a radius of 2.00 m, and filled with hydrogen. The total mass of the balloon (including the hydrogen within it) and the instruments it carries is 20.0 kg. The density of air at ground level is 1.29 kg/m3. (a) What is the magnitude of the buoyant force (in N) acting on the balloon, just after it is released from ground level

Answer 1

B = 423.64 N

Step-by-step explanation:

The thrust force in a fluid is equal to the weight of the displaced fluid,

B = ρ g V

where the density is that of air ρ=1.29 kg / m³ and the volume of the spherical balloon is

V =
`(4)/(3) \pi r^3`

v = 4/3 π 2³

V = 33.51 m³

let's calculate the thrust

B = 1.29 9.8 33.51

B = 423.64 N