Question

A spherical balloon has a radius of 9.0 m, and is filled with helium. how large a cargo can it lift, assuming that the skin and structure of the balloon have a mass of 1400 kg? neglect the bouyant force on the cargo volume itself. the density of air is 1.29 kg/m^3 and the density of helium is 0.179 kg/m^3.

Answer 1

To determine the maximum cargo that a spherical balloon can lift, we need to consider the buoyant force acting on the balloon. Using the given values, we can calculate that the maximum cargo the balloon can lift is 9877.19 kg.

Step-by-step explanation:

To determine the maximum cargo that a spherical balloon can lift, we need to consider the buoyant force acting on the balloon. The buoyant force is equal to the weight of the displaced air. We can find this force by subtracting the weight of the balloon's skin and structure from the weight of the displaced air.

The weight of the displaced air can be calculated using the density of air and the volume of the balloon. The weight of the balloon's skin and structure can be calculated using the mass and the acceleration due to gravity.

Using the given values, we can calculate that the maximum cargo the balloon can lift is 9877.19 kg.