Archimedes' principle; buoyant force definition; density from displaced volume with example.

Density condition for flotation; position of center of mass required for buoyant stability; avoiding capsization.

Condition for balloon to float; balloon in accelerating compartment with air.

In accelerating chamber, an apple is pulled opposite to motion, while balloon is pulled parallel to motion.

General properties of fluids; temperature defined; heat and temperature; pressure defined; pressure versus height; buoyancy forces; Bernoulli's equation.

Pascal's law defined; Archimedes' principle defined (F_b = ρ*g*V); mass density and pressure defined; equation for pressure as a function of depth derived.

Forces involved in air pressure and buoyancy.

2 short qualitative problems asking about a rock thrown from a boat and melting ice.

Solution (PDF)

Calculating density of wood and oil from percent submersion.

Solution (PDF)^#

Calculating period of oscillation for vertical rod in water given displacement and pressure.

Solution (PDF)^#

Comparing the force needed to support an object in air and water.

Solution (PDF)

Buoyant force acting on a hollow cylinder containing a person.

Solution (PDF)

3-part problem involving balls submerged in liquid; finding displaced mass, apparent weight of liquid container.

Solution (PDF)