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Life · Guided lesson

Account for useful output and efficiency

About 10 minutes · 3 reading + 7 practice and checks
Time includes reading, practice, and questions. Extra videos or further study are optional.
See this course’s project requirements

An energy-accounting notebook explaining work, stored energy, efficiency and three heat-transfer mechanisms in supplied desk scenarios.

Keep your working files in your own notebook or software. Save a private description, checklist, and work link in My Proof.

What to include

  • Account for useful and dispersed stores within a boundary.
  • Calculate work with constant parallel force conditions.
  • Calculate gravitational energy change using supplied g and height differences.
  • Compare efficiencies with the same useful-output definition.
  • Classify three heat-transfer routes.
  • Compare supplied thermal designs with limits and complete all changed cases.

Review and revise

Use these criteria to check your work and choose what to improve.

  • Method: applies the course-specific rules to the supplied cases with visible intermediate work.
  • Accuracy: results agree with the stated facts, units, boundaries and independent checks.
  • Reasoning: explains why the result follows and identifies a limitation or unresolved question.
  • Transfer: completes changed cases and revises the final project when a relevant assumption changes.
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Before you begin

The idea in everyday life

Fictional paper motor record: electrical input 500 J; useful mechanical output 300 J; thermal and sound outputs together 200 J. Goal is mechanical movement. No device inspection, wiring or purchase is required.

The idea

An efficiency fraction compares the specified useful output energy with input energy: useful/input. The useful label depends on the task. A low useful fraction does not mean energy is destroyed; other outputs must be accounted for. Compare records using the same output definition.

Follow along

Account for useful output and efficiency — worked practice

An efficiency fraction compares the specified useful output energy with input energy: useful/input. The useful label depends on the task. A low useful fraction does not mean energy is destroyed; other outputs must be accounted for. Compare records using the same output definition.

Fictional paper motor record: electrical input 500 J; useful mechanical output 300 J; thermal and sound outputs together 200 J. Goal is mechanical movement. No device inspection, wiring or purchase is required.

  1. 1. 1. Define

    State the input and useful task.

    You should see: 500 J electrical input; 300 J mechanical movement is defined as useful.

  2. 2. 2. Calculate

    Divide useful output by input.

    You should see: 300/500=0.60 or 60 percent.

  3. 3. 3. Balance

    Account for other outputs.

    You should see: 300+200=500 J; no supplied energy is missing.

  4. 4. 4. Compare

    Evaluate a changed design with same 500 J input and 350 J useful output.

    You should see: 350/500=70 percent; 150 J remains in other outputs under the supplied ledger.

Now change one thing

A supplied device uses 400 J input and gives 280 J useful output. Enter efficiency as a decimal.

Your work

What to finish

An input/output ledger with two comparable efficiency fractions.

Common mistake

Watch for this

A heater and motor can define useful output differently. A meaningful comparison keeps the task and accounting definition consistent.

How can I tell I understand it?

Calculate a changed efficiency without implying that dispersed energy was destroyed.

Try 3 questions

Quick knowledge check

Answer all 3 questions. Get at least 2 right and the lesson completes automatically.

Not yet passed

You’ll get an explanation for each answer. Signed in? Your results save to your account.

1What is the original useful-output efficiency?
2What is the modeled nonuseful output total?
3Why use the same useful-output definition in a comparison?
0 of 3 answeredApply the lesson to a short question, then review the explanation.
4
Finish this lesson

Pass the check. We’ll save the progress.

Answer all 3 questions above and get at least 2 right. You can review the explanations and try again.

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Sources and further reading

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OpenStax: work and energy transfer
Source & access notes · checked 2026-10-01

Web open/search showed the official page, its topic heading and relevant concept description. This is a content/source check, not a provider endorsement.

Access: Official page retrieved with the web reader on 2026-10-01; interactive tools and videos were not certified by retrieval.

Reuse: Original fictional teaching cases, calculations, questions and examples; link and short factual paraphrase only. No copied source exercises or illustrations.

OpenStax: energy stores and conservation
Source & access notes · checked 2026-10-01

Web open/search showed the official page, its topic heading and relevant concept description. This is a content/source check, not a provider endorsement.

Access: Official page retrieved with the web reader on 2026-10-01; interactive tools and videos were not certified by retrieval.

Reuse: Original fictional teaching cases, calculations, questions and examples; link and short factual paraphrase only. No copied source exercises or illustrations.

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