29-equation-sheet-physics-a.pdf","initialIndex":8,"initialQuestionWindow":[{"id":"2a666875-beb6-43e7-9b4f-227dd1ef3c10","revisionId":"4f5c6873-f7fb-49b5-b226-5918bdd7602e","questionNumber":null,"questionType":"LA","specification":"Two astronauts are floating, at rest, face-to-face in deep space.\n\nAstronaut **A** has a mass of \$75\\text{ kg}\$ and astronaut **B** has a mass of \$120\\text{ kg}\$.\n\n![Two astronauts, labeled A (75 kg) and B (120 kg) respectively, floating in space with hands touching ready to push off.](https://assets.mathsgenie.co.uk/aqa-qb/a9fa199a-1716-4fd1-8653-a7ff85492982.png)\n\nAstronaut **A** pushes against astronaut **B** with a force of \$60\\text{ N}\$.","difficulty":5,"difficultyBand":"medium","totalMarks":11,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"e578522d-961c-4de6-8dfb-f64f5a15b0d7","label":"a","content":"What does Newton’s third law tell us about the force that astronaut **A** experiences from astronaut **B**?","markscheme":"- States that the force is equal in magnitude, $60\\text{ N}$ B1\n- States that the force acts in the opposite direction B1","marks":2,"order":0,"markingRubric":null,"explanation":{"methods":[{"id":"newtons_third_law","label":"Newton's third law","steps":[{"type":"text","order":0,"title":"Identify the force pair","content":"The diagram already shows the two astronauts touching, so focus on the interaction between their hands. The given force is astronaut A pushing astronaut B with $60\\text{ N}$.\n\nNewton's third law says that forces come in an **interaction pair**: each force acts on a different object.","highlights":[{"text":"Astronaut **A** pushes against astronaut **B** with a force of \$60\\text{ N}\$.","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"F_{\\text{A on B}}=\\htmlData{anchor=given}{60\\text{ N}}"},{"latex":"F_{\\text{B on A}}=\\htmlData{anchor=paired}{60\\text{ N}}"}],"highlights":[{"color":"green","style":"box","anchor":"paired"}],"connections":[{"to":"paired","from":"given","color":"sky","label":"equal magnitude"}]},"order":1,"title":"Match the force size","description":"The paired force on A has the same magnitude as the force A exerts on B."},{"type":"text","order":2,"title":"State the opposite direction","content":"The force from B on A acts in the **opposite direction** to A's force on B. This is the second part of Newton's third law.\n\nSo astronaut A experiences a force of $60\\text{ N}$ from astronaut B, acting in the opposite direction. Stating the $60\\text{ N}$ earns the first mark; stating “opposite direction” earns the second mark.","highlights":[{"text":"What does Newton’s third law tell us about the force that astronaut **A** experiences from astronaut **B**?","location":"specification"}]}]}],"generatedAt":"2026-07-22T09:25:36.269Z","modelVersion":"gpt-5.6-terra+diagrams-1","explanationVersion":"v3"},"options":[]},{"id":"e358133d-b364-4578-8211-fd484de3ae0f","label":"b","content":"Calculate the acceleration of astronaut **B** when they are pushed with the force of \$60\\text{ N}\$.\nUse the equation: \$\\text{force} = \\text{mass} \\times \\text{acceleration}\$","markscheme":"- Selects or rearranges the formula: $\\text{acceleration} = \\frac{\\text{force}}{\\text{mass}}$ or $60 = 120 \\times a$ M1\n- Substitutes the correct values for astronaut B: $\\frac{60}{120}$ M1\n- Calculates the correct acceleration of astronaut B: $0.5\\text{ m/s}^2$ A1","marks":3,"order":1,"markingRubric":null,"explanation":{"methods":[{"id":"force_mass_acceleration","label":"Use force, mass and acceleration","steps":[{"type":"text","order":1,"title":"Choose B's values","content":"We are finding the acceleration of **astronaut B**, so use B's mass, $120\\text{ kg}$, not astronaut A's mass. The force on B is $60\\text{ N}$.","highlights":[{"text":"Calculate the acceleration of astronaut **B** when they are pushed with the force of \$60\\text{ N}\$.","location":"specification"}]},{"type":"hyper_latex","block":{"nod

Newton’s laws

Question 3

Newton’s laws Questions

Newton’s laws

Question 3

Newton’s laws Questions