Grade 12 · Week 13 · Monday

Follow the Energy Through a System

Learning objective: Define a device boundary and classify useful, thermal and other energy transfers without claiming any energy is lost from the universe.

45–60 minutes · Digital investigation · Browser-local evidence

Scientific reading

Begin with an everyday engineering question

A fictional small device receives 500 J of energy over a test interval. Some leaves as its intended useful output, some transfers thermally to surroundings, and some leaves through other pathways such as vibration or sound. An engineer cannot learn much from a claim that a device 'loses energy' without specifying the system boundary, intended output, and receiving pathways.

Draw a complete transfer diagram

For a device with negligible stored-energy change over the chosen interval, write E_input=E_useful+E_thermal+E_other. Every arrow should be named and labeled with joules. Thermal energy is not destroyed energy; it is accounted for outside the selected useful output. Whether a thermal flow is 'useful' depends on a device's purpose—for a heater it may be the intended output.

A numerical Sankey example

Suppose 500 J enters a fictional motion-producing device: 300 J is useful mechanical output, 125 J is transferred thermally, and 75 J is transferred to other forms. These numbers add to 500 J. The diagram's band widths can scale proportionally with the flows, but actual appearance is secondary to the numerical table and proper system boundaries.

What the model cannot measure

The three pathways are assumed, not measured. Actual devices may temporarily store energy, have energy flow through additional forms, or vary across time. In a system with storage change, the simplified output-only ledger must be expanded: E_input=E_outputs+ΔE_stored (with consistent signs). No electrical wiring or running machines is needed for this learning activity.

Vocabulary

system boundary
Selection of objects and interactions included in an energy model.
energy transfer
Energy crossing a boundary through work, heating or other pathways.
useful output
Energy accomplishing a specified goal of the device.
thermal transfer
Energy exchanged through a temperature-related process.
Sankey diagram
Flow picture using widths proportional to quantities transferred.

Worked example

For input 500 J and modeled outputs 300 J useful, 125 J thermal, 75 J other: 300+125+75=500 J. Useful fraction=300/500=60%; thermal fraction=25%; other=15%.

Label useful and other pathways, numerical units and assumptions.

Student science portfolio

Sketch a labeled Sankey and identify system boundary, intended useful output, all three pathways and one unmodeled mechanism.

Local browser notes, portable by JSON export. No remote synchronization.

Daily · Four Practice Questions

Open-book formative practice and explanations. Reach 80% after corrections; supervised exams remain separate.