volume_mute

Net Force Action on Atmospheric Objects

publish date2026/05/20 22:17:30.505784 UTC

volume_mute

A rigid fiberglass sphere filled with standard air weighs exactly \(12\text{ lb}\) in a vacuum. When it is placed into the outside atmosphere, it displaces a volume of air that weighs \(2\text{ lb}\). What is the net vertical force acting on the sphere, and in which direction?

Correct Answer

10 lb downward

Explanation

The downward gravitational force (true weight) is \(12\text{ lb}\), and the upward buoyant force is equal to the weight of the displaced air, which is \(2\text{ lb}\). The net force is the difference between them:

\[ F_{\text{net}} = 12\text{ lb (down)} - 2\text{ lb (up)} = 10\text{ lb downward} \]

Reference

Basic Physics: A Self-Teaching Guide


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