# (II) A spherical balloon has a radius of 7.15 m and is

## Problem 25P Chapter 10

Physics: Principles with Applications | 6th Edition

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Physics: Principles with Applications | 6th Edition

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Problem 25P

(II) A spherical balloon has a radius of 7.15 m and is filled with helium. How large a cargo cai it lift, assuming that the skin and structure of the balloon have a mass of 930 kg? Neglect the buoyant force on the cargo volume itself.

Step-by-Step Solution:

Solution 25P:

We have to calculate the maximum mass of the cargo that the balloon can lift from the given problem statement.

Step 1 of 4</p>

Concept:

Archimedes Principle: The buoyant force acting on the balloon placed in air of density is equal the weight of the air displaced by the volume of the balloon. Mathematically,

…(1)

Step 2 of 4</p>

Figure below show the free body diagram balloon-load system.

Step 3 of 4

Step 4 of 4

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