uel exerts a pressure on the flat bottom of the tank.\n\n![A rectangular tank with base dimensions labeled 0.40 m and 0.75 m.](https://assets.mathsgenie.co.uk/aqa-qb/dc2954a7-510a-4244-a58e-19057640c475.png)\n\nThe pressure exerted by the fuel on the bottom of the tank is $4200\\text{ Pa}$.","difficulty":3,"difficultyBand":"medium","totalMarks":3,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"846192fd-bf45-44b2-bf77-bae57497c99c","label":null,"content":"Calculate the force of the fuel on the bottom of the tank.","markscheme":"- Recalls or uses the relation $\\text{pressure} = \\frac{\\text{force}}{\\text{area}}$ or $F = P \\times A$ M1\n- Calculates the area of the rectangular bottom of the tank: $0.40\\text{ m} \\times 0.75\\text{ m} = 0.30\\text{ m}^2$ M1\n- Evaluates the force as $4200\\text{ Pa} \\times 0.30\\text{ m}^2 = 1260\\text{ N}$ A1","marks":3,"order":0,"markingRubric":null,"explanation":{"methods":[{"id":"pressure_area","label":"Use pressure and area","steps":[{"type":"text","order":0,"title":"Choose the relationship","content":"Pressure is force per unit area, so use\n\n$$P=\\frac{F}{A}$$\n\nRearrange this to make force the subject: $F=P\\times A$. This earns **M1**.","highlights":[{"text":"The pressure exerted by the fuel on the bottom of the tank is $4200\\text{ Pa}$.","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"A=\\htmlData{anchor=area_expression}{\\color{@sky}{0.40\\ \\mathrm{m}\\times0.75\\ \\mathrm{m}}}"},{"latex":"A=\\htmlData{anchor=area_result}{\\color{@green}{0.30\\ \\mathrm{m^2}}}"}],"highlights":[{"color":"sky","style":"text-color-with-background","anchor":"area_expression"},{"color":"green","style":"text-color-with-background","anchor":"area_result"}],"connections":[{"to":"area_result","from":"area_expression","color":"teal","label":"multiply","style":"solid"}]},"order":1,"title":"Find the base area","description":"Multiply the two dimensions of the flat rectangular bottom; do not use the tank height. This area calculation earns the second M1."},{"type":"hyper_latex","block":{"nodes":[{"latex":"F=\\htmlData{anchor=calculation}{\\color{@sky}{4200\\ \\mathrm{Pa}\\times0.30\\ \\mathrm{m^2}}}"},{"latex":"F=\\htmlData{anchor=result}{\\color{@green}{1260\\ \\mathrm{N}}}"}],"highlights":[{"color":"sky","style":"text-color-with-background","anchor":"calculation"},{"color":"green","style":"text-color-with-background","anchor":"result"}],"connections":[{"to":"result","from":"calculation","color":"teal","label":"evaluate","style":"solid"}]},"order":3,"title":"Calculate the force","description":"Substitute the pressure and base area into F = P x A. Since 1 Pa = 1 N per square metre, the result is in newtons; evaluating to 1260 N earns A1."}]}],"generatedAt":"2026-07-21T04:47:30.953Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"a79820dd-1de3-4325-b3d1-a2f43fc1dfc3","revisionId":"fee7e332-53fa-495a-bfeb-19d7b0d80667","questionNumber":null,"questionType":"LA","specification":"A scuba diver descends from a depth of $1.50\\text{ m}$ to a depth of $12.00\\text{ m}$ below the surface of a freshwater lake.\n\nGiven:\n* density of the lake water $= 1000\\text{ kg/m}^3$\n* gravitational field strength $= 9.8\\text{ N/kg}$","difficulty":5,"difficultyBand":"medium","totalMarks":7,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"043ec7f2-9eb1-4b45-8ba0-79fc732713a2","label":"a","content":"Explain why the fluid pressure on the diver increases as they dive deeper.","markscheme":"- States that diving deeper increases the height (or volume/mass) of the water column above the diver B1\n- Explains that this increases the weight of the water, thereby increasing the downward force per unit area B1","marks":2,"order":0,"markingRubric":null,"explanation":{"methods":[{"id":"water_column_reasoning","label":"Water-column reasoning","steps":[{"type":"drawing","order":0,"title":"Compare the water columns","width"

Pressure and pressure differences in fluids (physics only)

Question 14

Pressure and pressure differences in fluids (physics only) Questions

Pressure and pressure differences in fluids (physics only)

Question 14

Pressure and pressure differences in fluids (physics only) Questions