Starter track145 min
Fluid and Pressure
Not startedStart with pressure in a resting fluid, then carry that same branch through continuity, Bernoulli, buoyancy, and drag-limited motion.
Pressure in fluidsContinuity and flow
Starter track
Follow the authored sequence, or switch to recap mode for a faster review of the same path.
Entry diagnostic
Decide where to enter this path without opening a second testing system.
Reuse the pressure quick test, the continuity quick test, and the Bernoulli compare challenge to decide whether to start from fluid statics or skip ahead to buoyancy.
Start from beginning0 / 3 probes ready
Check the pressure-to-flow bridge before you open the full fluids path
Start from beginning
No saved diagnostic checks are available yet, so the opening concept is still the best place to start.
Uses the same local-first quick tests, checkpoint challenges, and track history already saved in this browser.
- Quick testNot started5 questions
Pressure in fluids quick test
Check whether force per area, same-depth pressure, and the hydrostatic slope are already stable.
No saved quick-test result yet.
Pressure in fluids - Quick testNot started5 questions
Continuity quick test
Check whether the same flow-rate story is already trustworthy before pressure trades are added.
No saved quick-test result yet.
Continuity - ChallengeNot started9 checks
Same entry state, wider throat recovers pressure
Start from Baseline venturi, switch to compare mode, leave Setup A unchanged, and tune Setup B until it keeps the same entry pressure and flow rate but recovers the throat pressure by widening only the throat.
No saved checkpoint attempt yet.
BernoulliCompare
About this track
Keep the first scan focused on the next lesson. Open the authored rationale and shared-framework notes only when you need them.
About this track
Keep the first scan focused on the next lesson. Open the authored rationale and shared-framework notes only when you need them.
Why this order
The sequence is authored to keep the model honest.
Pressure and Hydrostatic Pressure comes first because the rest of the fluids branch is harder to trust if pressure itself still feels like a slogan. Continuity Equation then shows where the speed change lives in one steady stream. Bernoulli's Principle adds the matching pressure and height trade without leaving that same pipe. Buoyancy and Archimedes' Principle returns to pressure differences in a resting fluid so floating comes from the same hydrostatic story instead of a separate force shelf. Drag and Terminal Velocity closes by showing a different fluid interaction where resistive force grows with speed until the motion settles into terminal balance.
Shared concept pages
Each step opens the same simulation-first framework.
Compare mode, prediction mode, quick test, worked examples, guided overlays, challenge mode, and read-next cues stay on the concept pages. The track only decides the guided order and the next recommended stop.
Guided path
Follow the concepts and checkpoint moments in order.
Checkpoint cards reuse the authored challenge entries already living on the concept pages.
- 1Not startedNewStart here
Pressure and Hydrostatic Pressure
Use one piston-and-tank bench to connect force per area, pressure acting in all directions, and the way density, gravity, and depth build hydrostatic pressure.
Start here before moving into Continuity Equation.
FluidsIntro30 min - Checkpoint 1LockedNot started
Reach 24 kPa by changing depth only
Start from Water baseline and adjust only the probe depth until the total pressure is about 24 kPa while force, area, density, and gravity stay near baseline.
Finish Pressure and Hydrostatic Pressure first. This checkpoint ties together Pressure in fluids through Reach 24 kPa by changing depth only.
Pause here after Pressure and Hydrostatic Pressure before moving into Continuity Equation.
Pressure in fluids8 checksCoreGraph-linkedGuided start - 2Not startedNew
Continuity Equation
Keep one steady stream tube on screen and use Q = Av to connect cross-sectional area, flow speed, and the same volume flow rate through narrow and wide sections.
Builds on Pressure and Hydrostatic Pressure before setting up Bernoulli's Principle.
FluidsIntro25 min - 3Not startedNew
Bernoulli's Principle
Follow one steady ideal-flow pipe and see how pressure, speed, and height trade within the same Bernoulli budget while continuity keeps the flow-rate story honest.
Builds on Continuity Equation before setting up Buoyancy and Archimedes' Principle.
FluidsIntro30 min - Checkpoint 2LockedNot started
Same entry state, wider throat recovers pressure
Start from Baseline venturi, switch to compare mode, leave Setup A unchanged, and tune Setup B until it keeps the same entry pressure and flow rate but recovers the throat pressure by widening only the throat.
Finish Bernoulli's Principle first. This checkpoint ties together Pressure in fluids, Continuity, and Bernoulli through Same entry state, wider throat recovers pressure.
Pause here after Bernoulli's Principle before moving into Buoyancy and Archimedes' Principle.
Pressure in fluidsContinuityBernoulli9 checksStretchCompareGraph-linkedGuided start - 4Not startedNew
Buoyancy and Archimedes' Principle
Use one immersed-block bench to connect pressure difference, displaced fluid, and the density balance behind floating, sinking, and neutral buoyancy.
Builds on Bernoulli's Principle before setting up Drag and Terminal Velocity.
FluidsIntro30 min - 5Not startedNew
Drag and Terminal Velocity
Drop one body through a fluid and use mass, area, and drag strength to see drag grow with speed until force balance settles into terminal velocity.
Capstone step after Buoyancy and Archimedes' Principle.
FluidsIntro30 min - Checkpoint 3LockedNot started
Catch the near-terminal moment
Starting from Draggy disk, pause when drag is almost equal to weight and the remaining net downward force is tiny.
Finish Drag and Terminal Velocity first. This checkpoint ties together Buoyancy and Terminal speed through Catch the near-terminal moment.
Final checkpoint that closes the authored track after Drag and Terminal Velocity.
BuoyancyTerminal speed6 checksStretchInspect timeGraph-linkedGuided start