Archimedes' Principle and Floating Sphere Notes

Flashcards covering Archimedes' Principle, the dependence of buoyant force on liquid density and submerged volume, and a floating-sphere problem from the notes.

What does Archimedes' Principle state about the buoyant force on a body immersed in a fluid?

The buoyant force equals the weight of the fluid displaced by the immersed body (upward force).

Which factors determine the magnitude of the buoyant force according to Archimedes' Principle?

The density of the liquid and the volume of the immersed portion of the object; it does not depend on the object's mass or surface area.

A spherical ball with density 0.70 kg/L and radius 10 cm is placed on water. What fraction of the ball's volume will be submerged?

0.70 of the ball's volume (70%), since the submerged volume must equal the ball's weight divided by the water's density.

Which statement expresses Archimedes' Principle correctly?

Buoyant force is the weight of the volume of water displaced by an immersed object.

If a floating sphere has density 0.70 kg/L in water, what is the submerged volume in terms of the total ball volume?

Submerged volume equals 0.70 times the total ball volume.