(a) Three spheres of equal size are composed of aluminum...

(a) Three spheres of equal size are composed of aluminum (density $=2.70 \mathrm{g} / \mathrm{cm}^{3} ),$ silver (density = 10.49 $\mathrm{g} / \mathrm{cm}^{3} )$ and nickel (density $=8.90 \mathrm{g} / \mathrm{cm}^{3} ) .$ List the spheres from lightest to heaviest. (b) Three cubes of equal mass are composed of gold (density $=19.32 \mathrm{g} / \mathrm{cm}^{3}$ , platinum (density $=21.45 \mathrm{g} / \mathrm{cm}^{3} )$ , and lead (density $=11.35 \mathrm{g} / \mathrm{cm}^{3} )$ List the cubes from smallest to largest. [Section 1.5$]$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Density

Density is the measure of mass per unit volume. It is the key property that determines how heavy an object is relative to its size. In problems dealing with materials of different densities, understanding density allows one to predict the mass of objects with a fixed volume, or conversely, the volume of objects with a fixed mass.

Constant Volume Condition

When multiple objects have the same volume, their masses are directly proportional to their densities. This means that for objects of equal size, the one made of the material with the lowest density will be lightest, while the one with the highest density will be heaviest.

Constant Mass Condition

When objects have the same mass, their volumes are inversely proportional to their densities. Thus, for objects with equal mass, the one made from a material with a higher density will have a smaller volume compared to one made from a material with a lower density.

Transcript

Please give Ace some feedback