Fluids unit test
A test on this unit alone, marked as a percentage and a letter grade — for the test your class is actually sitting, rather than for May. Answer everything, then submit once: seeing the answer to question 3 before attempting question 4 makes the final percentage meaningless.
Hydraulic advantage
Assumptions in Bernoulli's equation
Continuity before Bernoulli
Pascal's principle
Density
Why pressure does not depend on container shape
Pressure at depth
Where Bernoulli's equation fails
The floating fraction is a pure density ratio
Buoyant force does not depend on depth
Pressure
Buoyancy is a pressure difference
Short answer 1. Define or explain: Limits of Bernoulli's equation
3 ptsShort answer 2. Define or explain: Fraction submerged
3 ptsShort answer 3. Define or explain: Torricelli's result
3 ptsShort answer 4. Define or explain: Applying Bernoulli and continuity together
3 ptsFree response
7 ptsA solid cube of side 0.10 m and mass 0.72 kg is placed in a container of water (density 1000 kg/m³). (a) Determine whether the cube floats or sinks, showing your reasoning. (b) If it floats, calculate the depth to which it is submerged; if it sinks, calculate its apparent weight when fully submerged. (c) The water is replaced with a fluid of density 700 kg/m³. Describe qualitatively what happens to the cube and justify your answer using the same principle.
Determine whether the cube floats or sinks, showing your reasoning.
If it floats, calculate the depth to which it is submerged; if it sinks, calculate its apparent weight when fully submerged.
The water is replaced with a fluid of density 700 kg/m³. Describe qualitatively what happens to the cube and justify your answer using the same principle.