Density and Specific Gravity

Practice Questions

AP Physics 2 › Density and Specific Gravity

Questions

Suppose that a cube composed of a mysterious substance is hanging from a string while also submerged in water. If the cube is not moving and has a side length of 8cm and the tension in the string is equal to 15N, what is the specific gravity of this mysterious substance?

$\rho_{water}=1 \frac{g}{cm^{3}}$

What is the mass of air inside a small freezer with dimensions by by ?

$\rho_{air}=1.29\frac{kg}{m^3}$

What is the density of a cube that is submerged in water.

$\rho_{water}=1000\frac{kg}{m^3}$

An cube weighs when submerged in water, but in air. What is the specific gravity of the cube?

Suppose that an object has a density of $0.65\ \frac{\textup{g}}{\textup{cm}^{3}}$ . When floating in water, what fraction of the object will be above the surface of the water?

$\rho_{\text{water}}=1.0\ \frac{\textup{g}}{\textup{cm}^{3}}$

A raft is observed floating in a fresh-water lake with $\frac{9}{10}$ of its volume submerged. If the raft were floated in the Great Salt Lake, how much of its volume would be submerged? The density of fresh water is $\rho=1000 \frac{kg}{m^3}$ . Due to its high salt content, the density of the Great Salt Lake is $\rho=1100 \frac{kg}{m^3}$ .

A spherical ball submerged in water is held in place. Upon release, the ball has an instantaneous upward acceleration of $4.5\frac{m}{s^2}$ . What is the density of the ball?