ark.","highlights":[{"text":"actual force needed would be more than the value calculated in part **(b)(i)**","location":"specification"}]}]}],"generatedAt":"2026-07-21T18:24:14.024Z","modelVersion":"gpt-5.6-terra+diagrams-1","explanationVersion":"v3"},"options":[]},{"id":"0fd0efa9-4d04-433a-8b22-f17ae72d9f9e","label":"d","content":"Another toy train requires a constant force of \$40\\text{ N}\$ to move along a track.\nCalculate the work done on the train when it moves a distance of \$60\\text{ m}\$.\nUse the equation: \$\\text{work done} = \\text{force} \\times \\text{distance}\$\n\nWork done = \$\\text{\\_\\_\\_\\_\\_\\_\\_\\_ J}\$","markscheme":"- Substitutes values into the work done equation: $\\text{Work done} = 40 \\times 60$ M1\n- Obtains $2400\\text{ J}$ A1","marks":2,"order":3,"markingRubric":null,"explanation":{"methods":[{"id":"work_done_equation","label":"Use the work done equation","steps":[{"type":"text","order":1,"title":"Choose the values","content":"Use $W = Fd$, where $W$ is work done in joules ($\text{J}$), $F$ is force in newtons ($\text{N}$), and $d$ is distance in metres ($\text{m}$).\n\nHere, $F=40\\text{ N}$ and $d=60\\text{ m}$. Both values are already in the correct units.","highlights":[{"text":"requires a constant force of \$40\\text{ N}\$","location":"specification"},{"text":"moves a distance of \$60\\text{ m}\$","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=equation}{W=Fd}"},{"latex":"\\htmlData{anchor=substitution}{W=40\\times60}"},{"latex":"\\htmlData{anchor=result}{W=2400\\text{ J}}"}],"highlights":[{"color":"sky","style":"text-color-with-background","anchor":"substitution"},{"color":"green","style":"text-color-with-background","anchor":"result"}],"connections":[{"to":"substitution","from":"equation","color":"sky","label":"substitute values"},{"to":"result","from":"substitution","color":"green","label":"multiply"}]},"order":2,"title":"Substitute and calculate","description":"Substitute the given values: W = 40 × 60. This earns M1. Multiplying gives W = 2400 J, earning A1."}]}],"generatedAt":"2026-07-21T18:28:26.436Z","modelVersion":"gpt-5.6-terra+diagrams-1","explanationVersion":"v3"},"options":[]},{"id":"15ec4387-b145-4bb5-831b-9b02187d5f0b","label":"e","content":"Calculate the power output of this toy train if the work is done over \$80\\text{ seconds}\$.\nUse your answer from **(c)(i)**.\n\nPower = \$\\text{\\_\\_\\_\\_\\_\\_\\_\\_ W}\$","markscheme":"- Uses the formula $\\text{Power} = \\frac{\\text{Work done}}{\\text{Time}}$ M1\n- Substitutes their value from (c)(i) and $80\\text{ seconds}$: $\\text{Power} = \\frac{2400}{80}$ M1\n- Obtains $30\\text{ W}$ A1","marks":3,"order":4,"markingRubric":null,"explanation":{"methods":[{"id":"power_calculation","label":"Calculate power","steps":[{"type":"text","order":0,"title":"Choose the formula","content":"Power means the rate at which work is done: how much work is transferred each second.\n\n$$\\text{Power}=\\frac{\\text{Work done}}{\\text{Time}}$$\n\nWriting this formula earns **M1**.","highlights":[{"text":"Calculate the power output of this toy train if the work is done over \$80\\text{ seconds}\$.","location":"specification"},{"text":"Use your answer from **(c)(i)**.","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\text{Power}=\\frac{\\htmlData{anchor=work}{\\color{@sky}{\\text{Work done}}}}{\\text{Time}}"},{"latex":"\\text{Power}=\\frac{\\htmlData{anchor=subwork}{\\color{@sky}{2400\\text{ J}}}}{80\\text{ s}}"},{"latex":"\\boxed{\\text{Power}=30\\text{ W}}"}],"highlights":[{"color":"sky","style":"text-color-with-background","anchor":"work"}],"connections":[{"to":"subwork","from":"work","color":"sky","label":"use part (c)(i)","style":"solid"}]},"order":1,"title":"Substitute the values","description":"From part (c)(i), the work done is 2400 J. The time is 80 s, so place both values into the formula. Substituting 2400 J and 80 s earns M1; obtaining 30 W earns A1.

Work done

Question 12

Work done Questions

Work done

Question 12

Work done Questions