- #1

chantalprince

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## Homework Statement

Using Archimedes' Principle and the diagram shown: (diagram is a "mass" of something in a liquid with an immersed portion (Vb) and an Un-immersed portion (Va)).

A. prove that if an object is floating in a liquid, the fraction of the object's total volume that is immersed (below the surface) is the ratio of its density (rho of the object) to the liquids density (rho of the liq.)

B. prove that when ice melts in a glass of water, the water level does not change.

## Homework Equations

Buoyant force = rho x V x g

rho = m/V

## The Attempt at a Solution

I really don't know where to begin. I feel like I understand these concepts, but I don't know how to go about proving these things. I realize that the buoyant force is equal to the weight of the displaced fluid, but I don't know where to take it.

Will anybody help me to get started and walk me through this?

Your help is appreciated!