:"specification"}]}]}],"generatedAt":"2026-07-22T12:12:17.064Z","modelVersion":"gpt-5.6-terra+diagrams-1","explanationVersion":"v3"},"options":[]},{"id":"0a90855c-36ff-4a2d-84b0-7e2482a41a88","label":"c","content":"Calculate the spring constant (stiffness) of the wire for the \$0\$ to \$15\\text{ N}\$ portion of the results.\n\nUse the equation: \$\\text{Force} = \\text{Spring constant} \\times \\text{Extension}\$","markscheme":"- Uses $k = \\frac{F}{x}$ with values from the linear section, e.g. $F = 15\\text{ N}$ and $x = 0.03\\text{ m}$ M1\n- Calculates $k = 500\\text{ N/m}$ A1","marks":2,"order":2,"markingRubric":null,"explanation":{"methods":[{"id":"force_extension","label":"Use the linear section","steps":[{"type":"text","order":1,"title":"Choose matching values","content":"From $0$ to $15\\text{ N}$, the extension rises by $0.01\\text{ m}$ for every $5\\text{ N}$, so this is the linear section. Use the matching pair $F=15\\text{ N}$ and $x=0.03\\text{ m}$.\n\nThis choice of values from the linear section earns the **M1**.","highlights":[{"text":"for the \$0\$ to \$15\\text{ N}\$ portion of the results","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=given}{F=kx}"},{"latex":"\\htmlData{anchor=rearranged}{k=\\frac{F}{x}}"},{"latex":"k=\\frac{15\\ \\mathrm{N}}{0.03\\ \\mathrm{m}}"},{"latex":"\\htmlData{anchor=answer}{k=500\\ \\mathrm{N/m}}"},{"text":"A1: Correctly calculating 15 / 0.03 gives 500 N/m."}],"highlights":[{"color":"green","style":"box","anchor":"answer"}],"connections":[{"to":"rearranged","from":"given","color":"sky","label":"divide both sides by x"}]},"order":2,"title":"Rearrange and calculate","description":"Divide both sides of the given equation by x to make k the subject. Then substitute the matching values from the linear section."}]}],"generatedAt":"2026-07-22T12:16:35.765Z","modelVersion":"gpt-5.6-terra+diagrams-1","explanationVersion":"v3"},"options":[]},{"id":"4b97adb7-2b4d-4844-8d2c-7a8e9b22b449","label":"d","content":"Calculate the work done in stretching the wire to \$0.03\\text{ m}\$.","markscheme":"- Uses the formula $W = \\frac{1}{2} F x$ or $W = \\frac{1}{2} k x^2$ M1\n- Substitutes values correctly, e.g. $W = 0.5 \\times 15 \\times 0.03$ or $W = 0.5 \\times 500 \\times 0.03^2$ M1\n- Calculates $W = 0.225\\text{ J}$ A1","marks":3,"order":3,"markingRubric":null,"explanation":{"methods":[{"id":"area_under_force_extension","label":"Area under a force-extension graph","steps":[{"type":"text","order":1,"title":"Read the matching force","content":"Use the row where the extension is $0.03\\text{ m}$. The matching weight is $15\\text{ N}$.\n\nThe force rises evenly from zero to this value, so the force-extension graph up to this point would be a triangle. Its area is the work done.","highlights":[{"text":"| 15 | 0.03 |","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"W=\\frac{1}{2}\\htmlData{anchor=formula}{F x}\\qquad\\text{(M1)}"},{"latex":"W=\\frac{1}{2}\\times 15\\times 0.03\\qquad\\text{(M1)}"},{"latex":"W=0.225\\ \\mathrm{J}\\qquad\\text{(A1)}"}],"highlights":[{"color":"sky","style":"text-color-with-background","anchor":"formula"}]},"order":2,"title":"Calculate the triangular area","description":"Work done is the area under a force-extension graph. For a triangle, use half times base times height."}]}],"generatedAt":"2026-07-22T03:02:04.498Z","modelVersion":"gpt-5.6-terra+diagrams-1","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"14f53110-8cef-4f57-b628-4716f8b5f446","revisionId":"b3af6be2-d147-4041-a11a-663699f26c89","questionNumber":null,"questionType":"MC","specification":"A student places different loads on four balances. Each balance has a uniform beam pivoted at its center.\n\n![Four balances, A, B, C, and D, with central pivots.](https://assets.mathsgenie.co.uk/aqa-qb/3d88f896-4669-4a10-9e2e-8b33b23aa42c.png)\n\nWhich balance will produce a net **anticlock

Forces in action

Question 8

Forces in action Questions

Forces in action

Question 8

Forces in action Questions