ath":"/gcse/physics/edexcel/moments-levers-and-gears/questions","formulaUrl":null,"initialIndex":48,"initialQuestionWindow":[{"id":"788d079b-f91b-435b-8814-ff46f1ce7b69","revisionId":"b9efcd6c-2f67-42ec-825a-f23900fdd7c3","questionNumber":null,"questionType":"LA","specification":"A foot pedal mechanism uses a horizontal lever pivoted at a point $P$.\n\nThe diagram shows the vertical forces acting on the lever when it is in equilibrium.\n\n![A foot pedal lever mechanism pivoted at P with forces 160 N and R](https://assets.mathsgenie.co.uk/aqa-qb/26f41eaa-9fc1-4a16-b72e-1cbca3f1a9ae.png)","difficulty":4,"difficultyBand":"medium","totalMarks":3,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"a08e7d93-7be3-47b0-a965-9d4dc5a0d88d","label":null,"content":"Calculate the magnitude of the resistance force, $R$, exerted on the lever.","markscheme":"- Calculates the moment of the $160\\text{ N}$ force about the pivot $P$: $160 \\times 0.45 = 72\\text{ N m}$ M1\n- Sets up a correct moment equilibrium equation: $R \\times 0.06 = 160 \\times 0.45$ M1\n- Solves for $R$ to find $1200\\text{ N}$ (or $1200$) A1","marks":3,"order":0,"markingRubric":null,"explanation":{"methods":[{"id":"moments","label":"Taking moments about the pivot","steps":[{"type":"text","order":0,"title":"Choose the pivot","content":"Use the given diagram rather than redrawing it. Take moments about $P$, the pivot. A **moment** is the turning effect of a force:\n\n$$\\text{moment} = \\text{force} \\times \\text{perpendicular distance from the pivot}$$\n\nBecause the lever is in equilibrium, the clockwise and anticlockwise moments about $P$ are equal.","highlights":[{"text":"when it is in equilibrium","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"M_{160}=160\\,\\mathrm{N}\\times0.45\\,\\mathrm{m}"},{"latex":"M_{160}=\\htmlData{anchor=known-moment}{72\\,\\mathrm{N\\,m}}"}],"highlights":[{"color":"green","style":"box","anchor":"known-moment"}]},"order":1,"title":"Find the known moment","description":"Use moment = force x perpendicular distance from the pivot. Examiner note: calculating 160 x 0.45 = 72 N m earns M1."},{"type":"hyper_latex","block":{"nodes":[{"latex":"R \\times 0.06 = 160 \\times 0.45"},{"latex":"R = \\frac{72}{0.06}"},{"latex":"\\boxed{R = 1200\\ \\text{N}}"}]},"order":2,"title":"Solve for resistance","description":"The resistance acts 0.06 m from the pivot, while the 160 N force acts 0.45 m from it. Examiner note: writing the equilibrium equation earns M1; solving it to obtain 1200 N earns A1."}]}],"generatedAt":"2026-07-22T11:47:46.980Z","modelVersion":"gpt-5.6-terra+diagrams-1","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"7c044173-1729-43cb-8c99-6317449143e6","revisionId":"1a6b2039-b181-4556-a639-37c88c439d8f","questionNumber":null,"questionType":"LA","specification":"A gardener uses a manual water pump to draw water from a well, as shown in the diagram below.\n\n![Diagram of a manual water pump handle acting as a lever.](https://assets.mathsgenie.co.uk/aqa-qb/5104ff10-cc80-4f7c-8ca1-ef67549f039c.png)","difficulty":3,"difficultyBand":"medium","totalMarks":3,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"a14a4704-466e-4bd8-855b-eef28b2191f1","label":null,"content":"Calculate the upward force $F_2$ exerted on the pump rod.\n\nUse the following data:\n* $F_1 = 65.0\\text{ N}$\n* $d_1 = 72.0\\text{ cm}$\n* $d_2 = 9.0\\text{ cm}$","markscheme":"- States the principle of moments or substitutes values correctly: $F_1 \\times d_1 = F_2 \\times d_2$ or $65.0 \\times 72.0 = F_2 \\times 9.0$ M1\n- Rearranges the moments equation to solve for $F_2$: $F_2 = \\frac{65.0 \\times 72.0}{9.0}$ M1\n- Calculates the correct value $F_2 = 520\\text{ N}$ (or $520$) A1","marks":3,"order":0,"markingRubric":null,"explanation":{"methods":[{"id":"moments","label":"Applying the principle of moments","steps":[{"type":"hyper_latex","block":{"nodes":[{"text":"For the pump mechanis

Moments, levers and gears

Question 21

Moments, levers and gears Questions

Moments, levers and gears

Question 21

Moments, levers and gears Questions