stions","basePath":"/gcse/physics/edexcel/newton-s-laws-and-momentum/questions","formulaUrl":null,"initialIndex":49,"initialQuestionWindow":[{"id":"6a1797e9-b9bc-4ec9-835a-7eab7cb1ee48","revisionId":"195a5755-64d3-492d-9bfb-d808d8261428","questionNumber":null,"questionType":"LA","specification":"An electric delivery cargo bike has a total mass of $140\\text{ kg}$ including the rider and cargo. It accelerates at $1.8\\text{ m/s}^2$.","difficulty":2,"difficultyBand":"easy","totalMarks":2,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"8190a3bb-52e2-4f16-8aaf-9ecf5b5c944f","label":null,"content":"Calculate the resultant force acting on the bike to produce this acceleration.\n\nUse the equation:\n\n$$\\text{force} = \\text{mass} \\times \\text{acceleration}$$","markscheme":"- Substitutes the correct values into the equation: $\\text{force} = 140 \\times 1.8$ M1\n- Calculates the correct resultant force of $252\\text{ (N)}$ A1","marks":2,"order":0,"markingRubric":null,"explanation":{"methods":[{"id":"use_force_equation","label":"Use the force equation","steps":[{"type":"text","order":1,"title":"Choose the equation","content":"Use the equation given:\n\n$$F=ma$$\n\nHere, $F$ is the **resultant force**: the overall force after all forces on the bike have been combined. The mass is $140\\text{ kg}$ and the acceleration is $1.8\\text{ m/s}^2$.","highlights":[{"text":"Use the equation:","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"F=m a"},{"latex":"F=\\htmlData{anchor=mass-used}{140}\\times\\htmlData{anchor=acceleration-used}{1.8}"}],"highlights":[{"color":"sky","anchor":"mass-used"},{"color":"orange","anchor":"acceleration-used"}]},"order":2,"title":"Substitute the values","description":"Put the mass and acceleration into $F=ma$. This correct substitution earns the first mark (M1)."},{"type":"hyper_latex","block":{"nodes":[{"latex":"F=140\\times1.8"},{"latex":"F=\\htmlData{anchor=force-answer}{252\\text{ N}}"}],"highlights":[{"color":"green","style":"box","anchor":"force-answer"}]},"order":3,"title":"Calculate the force","description":"Multiply the two values and give the unit of force, newtons (N). This is the accuracy mark (A1)."}]}],"generatedAt":"2026-07-22T11:43:30.616Z","modelVersion":"gpt-5.6-terra+diagrams-1","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"6a73cfbe-95d1-4c9a-8833-e08abc0b6d66","revisionId":"536356e4-a4cd-49c8-937d-bb1a4fe22eff","questionNumber":null,"questionType":"LA","specification":"A deep-space research probe has a mass of $1400\\text{ kg}$.\nThe probe's main engine accelerates it through the vacuum of space at $0.45\\text{ m/s}^2$.","difficulty":2,"difficultyBand":"easy","totalMarks":3,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"130de4a9-a852-4bec-a532-a259a80185d4","label":null,"content":"Calculate the resultant force producing this acceleration.\nState the unit.\n\nUse the equation:\n$$\\text{resultant force} = \\text{mass} \\times \\text{acceleration}$$","markscheme":"- Substitutes the mass and acceleration values into the force equation: $1400 \\times 0.45$ M1\n- Calculates the correct force value: $630$ A1\n- States the correct unit: $\\text{N}$ (or $\\text{Newton}$ / $\\text{newtons}$) B1","marks":3,"order":0,"markingRubric":null,"explanation":{"methods":[{"id":"newtons_law","label":"Use the force equation","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"F=ma"},{"latex":"F=\\htmlData{anchor=substitution}{1400\\times0.45}"}]},"order":0,"title":"Substitute the values","description":"Put the mass and acceleration into the given equation. Writing 1400 × 0.45 earns the M1 mark."},{"type":"hyper_latex","block":{"nodes":[{"latex":"F=\\htmlData{anchor=multiplication}{1400\\times0.45}"},{"latex":"F=\\htmlData{anchor=force_value}{630}"}],"connections":[{"to":"force_value","from":"multiplication","color":"sky","label":"calculate"}]},"order":1,"title":"Calculate the force","description":"Work out the mult

Newton's laws and momentum

Question 29

Newton's laws and momentum Questions

Newton's laws and momentum

Question 29

Newton's laws and momentum Questions