On october 21, 2001, ian ashpole of the united kingdom achieved a record altitude of 3.35 km (11 000 ft) powered by 600 toy balloons filled with helium. each filled balloon had a radius of about 0.54 m and an estimated mass of 0.27 kg. (a) estimate the total buoyant force on the 600 balloons.

buoyant force = 4.160  kN

Explanation:

given data

altitude = 3.35 km

toy balloon = 600

radius r = 0.54 m

mass m = 0.27 kg

to find out

total buoyant force

solution

we will apply here buoyant force formula that is

buoyant force for 600 = 600 × ρ × g × v    1

here v volume  = 4/3 × π × r³ = 4/3 × π × 0.52³ = 0.5889

and ρ = 1.20 kg/m³

so

buoyant force for 600 = 600 × ρ × g × v

buoyant force for 600 = 600 × 1.20 × 9.81 × 0.5889

buoyant force = 4160.06 N

buoyant force = 4.160  kN

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.