Question

A lighter-than-air spherical balloon and its load of passengers and ballast are floating stationary above the earth. Ballast is weight (of negligible volume) that can be dropped overboard to make the balloon rise. The radius of this balloon is 4.47 m. Assuming a constant value of 1.29 kg/m3 for the density of air, determine how much weight must be dropped overboard to make the balloon rise 148 m in 13.0 s.

Answer 1

Hi,

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We know that, Here buoyant force acting on the balloon is given by,

Acceleration of the ballon upwards is given by,

Mass of balloon at equilibrium is given by,

To accelerate the balloon, this condition should be applied,

Where, m is the mass of the ballast dropped.

Solving this we get, Mass of the ballast dropped,

Weight of the ballast dropped is given by,

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