Density
This is the density of water.
What is 1 g/cm3
Alternative units are 1 g/mL or 1000 kg/m3
A metal block is fully submerged in water and experiences an upward buoyant force. If the block is moved to a deeper part of the same body of water, what impact does this have on the buoyant force?
It remains the same. The displaced fluid volume does not change
This measurement is the difference between absolute and atmospheric pressure, serving as a relative measurement
What is Gauge pressure?
This is the Bernoulli's Equation
What is P + ρgh + (1/2)ρv2
A ball is floating in a lake with 2/5 of the ball above the surface of the water.
This number is the density of the ball in g/cm3
What is 0.6
An object displaces 0.030m3 of water.
This number is the magnitude of buoyant force acting on the object in Newtons.
What is 300 N?
FB=ρVg=(1000 kg/m3)(0.030 m3)(10 m/s2)
Two containers are filled with the same liquid to the same height. One container is narrow and the other is wide. At the bottom of each container, how do the fluid pressures compare?
They are the same
Fluid pressure depends only on depth and density, not container shape.
A horizontal pipe is carrying water through a neighborhood. When the water enters a narrower section, the fluid speed and pressure undergo these scalar changes respectively
Hint: increase, decrease, or stay the same
What are an increase in fluid speed and a decrease in pressure?
A biomedical researcher is studying synthetic polymer beads in a temperature-controlled aqueous solution. Each bead has a mass of 48.0 g and is manufactured as a perfect sphere with a radius of 1.5 cm. The beads are initially placed into a beaker containing distilled water at 25°C
After being submerged, the beads are observed to float with 60% of their volume below the water’s surface. The researcher then adds sodium chloride to the solution until the temperature rises to 35°C and the beads become fully suspended. At this new temperature, the density of the solution is 1.12 g/mL
This number is the specific gravity of the polymer beads.
0.6
In chemistry lab, Caleb accidentally dropped his ring into a flask of liquid bromine (density: ~3 g/cm3). Luckily, half of the ring stuck out of the solution and Caleb was able to take it out using metal tongs.
If the solution was water, this would have happened to Caleb's ring
What is sinking?
(Ring density is 1.5 g/cm3)
A cylindrical tank is filled with oil (ρ=850 kg/m3) to a height of 3.0 m. A pressure sensor is placed 1.0 m above the bottom of the tank.
This number is the gauge pressure measured by the sensor
What is 17,000 Pa?
or 0.17 atm
Water flows through a horizontal pipe. At one point, the fluid speed is 2.0 m/s and the pressure is 2.0 × 10⁵ Pa. At another point farther along the pipe, the speed increases to 4.0 m/s.
This number is the pressure at the second point (in pascals).
What is 1.94 • 105 Pa
A rectangular block of wood floats at rest in a liquid with a uniform density of 1.20 g/mL. The block has dimensions of 10.0 cm × 5.0 cm × 4.0 cm. When placed in the liquid, 75% of the block’s volume is submerged, with the remaining portion above the surface.
This number is the mass of the wooden block
what is 180g?
A solid metal sphere with a diameter of 16 cm is fully submerged and held at rest in water by a light string attached to the lid of the tank. The mass of the sphere is 10.0 kg.
This number is the magnitude of buoyant force acting on the sphere in Newtons.
What is 21.4 N?
A diver is submerged in water (ρ=1000 kg/m3) at a depth where the absolute pressure is 4.1 × 10⁵ Pa. (Patm=1.00 × 105 Pa)
This number is the diver’s depth below the surface
What is 31 m
Water exits a small hole in the side of a large open tank. The hole is 5.0 m below the water surface, and both the surface and the hole are exposed to the atmosphere.
This is the speed of the water as it exits the hole.
What is 10 m/s ?