","totalMarks":3,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"c88403bd-af65-4171-81af-728606555536","label":null,"content":"Describe the non-linear stretching of the copper wire shown by the data.","markscheme":"- Identifies that between $6\\text{ mm}$ and $18\\text{ mm}$, the force continues to increase with extension but at a progressively decreasing rate (the gradient/slope of the curve decreases) B1\n- References key coordinates from the non-linear region, such as the peak force of $70\\text{ N}$ occurring at an extension of $18\\text{ mm}$ B1\n- Describes the behavior after the peak, noting that from $18\\text{ mm}$ to $24\\text{ mm}$ the force decreases as the wire continues to stretch, until it breaks at $24\\text{ mm}$ ($66\\text{ N}$) B1","marks":3,"order":0,"markingRubric":null,"explanation":{"methods":[{"id":"describe_curve","label":"Describe the curve","steps":[{"type":"text","order":1,"title":"Describe the flattening","content":"Focus on the curved section after $6\\text{ mm}$. As extension increases from $6\\text{ mm}$ to $18\\text{ mm}$, the force still increases, but by a smaller amount for each further increase in extension. In other words, the gradient (the steepness of the graph) decreases. This earns the first mark.","highlights":[{"text":"Describe the non-linear stretching of the copper wire shown by the data.","location":"specification"}]},{"type":"text","order":2,"title":"State the maximum","content":"Quote the highest point on the curve: the maximum force is $70\\text{ N}$ at an extension of $18\\text{ mm}$. Including both values earns the second mark.","highlights":[{"text":"Describe the non-linear stretching of the copper wire shown by the data.","location":"specification"}]},{"type":"text","order":3,"title":"Describe the final fall","content":"After the maximum, the wire continues to extend from $18\\text{ mm}$ to $24\\text{ mm}$ but the force falls from $70\\text{ N}$ to $66\\text{ N}$. At $24\\text{ mm}$, the wire breaks. This completes the third mark.","highlights":[{"text":"Describe the non-linear stretching of the copper wire shown by the data.","location":"specification"}]}]}],"generatedAt":"2026-07-22T11:31:26.999Z","modelVersion":"gpt-5.6-terra+diagrams-1","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"406df823-0391-493c-b4e5-a11732eb46ee","revisionId":"4c8eeea7-d7e6-4802-a5b8-4663c1b01963","questionNumber":null,"questionType":"LA","specification":"A marine engineer tests a heavy-duty silicone elastomer mooring strap designed to absorb kinetic energy from waves. The strap is subjected to a cycle of tension loading up to $50\\text{ kN}$ and subsequent unloading.\n\nThe force-extension behavior of the strap during this cycle is shown in the graph below:\n\n![Force-extension graph of a silicone mooring strap](https://assets.mathsgenie.co.uk/aqa-qb/e93f4e82-769c-4a5c-bd5c-e22357fe9c84.png)","difficulty":6,"difficultyBand":"medium","totalMarks":2,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"ba5c6c11-7e0a-436a-ad11-866ac0ff2e12","label":null,"content":"Explain how the loading and unloading curves on this graph demonstrate that the elastic behavior of the silicone strap differs fundamentally from that of a standard steel spring.","markscheme":"- Identifies that the silicone strap exhibits a non-linear relationship (does not obey Hooke's law / force is not directly proportional to extension), whereas a standard steel spring exhibits a linear relationship (straight line through the origin) B1\n- Identifies that the loading and unloading curves for the silicone strap follow different pathways (forming a hysteresis loop), whereas they follow the exact same pathway for a typical steel spring B1","marks":2,"order":0,"markingRubric":null,"explanation":{"methods":[{"id":"compare_elastic_behaviour","label":"Compare the two behaviours","steps":[{"type":"text","order":0,"title":"Read the curve shapes","content":"Look first at the *shape* of each

Extension / mm	Applied force / N
0	0
6	42
12	62
18	70
24	66

Extension / mm	Applied force / N
0	0
6	42
12	62
18	70
24	66

Forces and springs

Question 7

Forces and springs Questions

Forces and springs

Question 7

Forces and springs Questions