Work Done & Springs
When you stretch or compress a spring, you are doing work against the elastic forces and storing elastic potential energy in it. The work done in stretching a spring is equal to the area under the force-extension graph. For a spring that obeys Hooke's Law, this energy can be calculated using the formula Ee = ½ke², where k is the spring constant and e is the extension.
Full topic guide: the detailed syllabus page with worked examples and common mistakes lives at studyvector.co.uk/gcse/physics/forces/work-done-springs.
Topic preview: Work Done & Springs
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Topic explanation
When you stretch or compress a spring, you are doing work against the elastic forces and storing elastic potential energy in it. The work done in stretching a spring is equal to the area under the force-extension graph. For a spring that obeys Hooke's Law, this energy can be calculated using the formula Ee = ½ke², where k is the spring constant and e is the extension.
Work Done & Springs is easiest to revise when it is treated as a precise exam behaviour, not a loose note-taking category. In GCSE Physics, the goal is to recognise how the topic appears in a question, identify the command word, and decide what evidence, method, or vocabulary earns marks. StudyVector keeps this page tied to AQA · Edexcel · OCR language where coverage is available, then routes practice towards the same topic so revision moves from explanation into retrieval.
A strong revision session starts with a short recall check. Write down the rule, definition, process, or method linked to Work Done & Springs before looking at any notes. Then answer one exam-style prompt and compare your answer with the mark-scheme logic: did you make a clear point, support it with the right step, and avoid drifting into a nearby topic? This matters because many lost marks come from almost-correct answers that do not match the expected structure.
Use this guide as the first layer: understand the topic, look at the worked examples, complete the mini quiz, then move into full practice. The full StudyVector practice loop is designed to capture whether mistakes are caused by knowledge, method, language, or timing. That distinction is important. If the error is factual, you need reteaching. If the error is method-based, you need a worked retry. If the error is wording, you need command-word calibration. That is how Work Done & Springs becomes a controlled revision target rather than another page in a folder.
Lost marks → repair task
Why marks are usually lost here
These are the error patterns StudyVector looks for after an attempt. The goal is not a generic explanation; it is one repair move and one follow-up question.
Unit, formula, or method slip
Examiner move: Select the correct method and keep units, substitutions, signs, and rounding visible.
Repair drill: Redo the calculation or method line slowly, naming the formula before substituting values.
Missing chain of reasoning
Examiner move: Show the link between point, method, evidence, and conclusion instead of jumping to the final line.
Repair drill: Write the missing because/therefore step, then retry one isomorphic question.
Weak evidence or data reference
Examiner move: Use a precise value, quote, example, diagram feature, or syllabus term to support the claim.
Repair drill: Add one concrete reference to the answer and remove any generic sentence that does not earn a mark.
Mini quiz
Use these checks before full practice. They test topic recognition, exam technique, and whether you can connect the explanation to a marked response.
1. What should you check first when a Work Done & Springs question appears in GCSE Physics?
- A.The command word and the exact topic focus
- B.The longest paragraph in your notes
- C.A memorised answer from a different topic
2. Which revision action gives the strongest evidence that Work Done & Springs is improving?
- A.Rereading the explanation twice
- B.Answering a timed exam-style question and reviewing lost marks
- C.Highlighting every key phrase in the topic notes
Sample questions
Topic-specific public question previews are still being reviewed. We keep them off public pages until the topic match is safe.
Exam tips
- Read the command word carefully — "explain" needs reasons; "state" expects a short fact.
- For Work Done & Springs, show structured working even when you are practising multiple choice — it builds accuracy under time pressure.
- Mark yourself against the mark scheme style: one clear point per mark, in logical order.
- Come back to this topic after a day or two; short spaced reviews beat one long cram.
Worked examples
Example 1
Modelled exam response
A spring with a spring constant of 50 N/m is stretched by 20 cm. How much elastic potential energy is stored? Solution: First, convert extension to metres: 20 cm = 0.2 m. Then, use the formula Ee = ½ke². Ee = 0.5 x 50 N/m x (0.2 m)² = 0.5 x 50 x 0.04 = 1 J.
Example 2
Identify the task before answering
Question type: a Work Done & Springs prompt asks for a clear response in GCSE Physics. Step 1: underline the command word. Step 2: name the exact part of Work Done & Springs being tested. Step 3: decide whether the mark scheme wants a definition, method, explanation, comparison, or calculation. Why it works: most weak answers fail before the content starts because they answer the topic generally rather than the exact exam task.
Example 3
Turn feedback into a repair task
Suppose your answer shows partial understanding but loses marks for precision. First, rewrite the missing mark as a short target: "I need to state the mechanism, unit, reason, or evidence explicitly." Then answer one similar question without notes. Finally, compare the second attempt with the first and check whether the same mark was recovered. Why it works: Work Done & Springs improves faster when feedback creates a specific retry, not another passive reading session.
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Common mistakes
- Using the formula F=ke to calculate the work done. This formula gives the force, not the energy stored.
- Forgetting to use the average force when calculating work done (Work = average force x distance). For a spring, the average force is ½Fe.
- Forgetting to square the extension in the energy formula (Ee = ½ke²).
Exam board notes
A Higher Tier topic for all major GCSE Physics boards (AQA, Edexcel, OCR).
FAQs
What is elastic potential energy?
Elastic potential energy is the energy stored in an elastic object when it is stretched or compressed. This energy is released when the object returns to its original shape.
How is work done related to elastic potential energy?
The work done to stretch or compress a spring is stored as elastic potential energy in the spring, assuming the elastic limit is not exceeded.
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