a block of concrete vertically through a height of \$16\\text{ m}\$.\nThe mass of the block is \$550\\text{ kg}\$.\nThe gravitational field strength is \$9.8\\text{ N/kg}\$.\n\nCalculate the increase in gravitational potential energy of the block.\n\nGive your answer to 2 significant figures.","markscheme":"- Recalls or uses the formula for gravitational potential energy: $E_p = mgh$ C1\n- Substitutes values into the formula: $E_p = 550 \\times 9.8 \\times 16$ M1\n- Calculates $86\\,240\\text{ J}$ and rounds to 2 significant figures to give $86\\,000\\text{ J}$ (or $86\\text{ kJ}$) A1","marks":3,"order":0,"markingRubric":null,"explanation":{"methods":[{"id":"gpe_formula","label":"Use the GPE formula","steps":[{"type":"text","order":1,"title":"Choose the formula","content":"For an object lifted vertically, the increase in gravitational potential energy is\n\n$$E_p=mgh$$\n\nwhere $m$ is mass in kg, $g$ is gravitational field strength in N/kg, and $h$ is the vertical height in m. Recalling or using this formula earns **C1**.","highlights":[{"text":"Calculate the increase in gravitational potential energy of the block.","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=formula}{E_p=mgh}"},{"latex":"\\htmlData{anchor=substitution}{E_p=550\\times9.8\\times16}"},{"latex":"\\htmlData{anchor=calculation}{E_p=86\\,240\\text{ J}}"}],"highlights":[{"color":"amber","style":"box","anchor":"calculation"}],"connections":[{"to":"substitution","from":"formula","color":"sky","label":"substitute values"},{"to":"calculation","from":"substitution","color":"green","label":"calculate"}]},"order":2,"title":"Substitute the values","description":"Use the mass, gravitational field strength and vertical height in the formula. This correct substitution earns M1."},{"type":"text","order":3,"title":"Round correctly","content":"To 2 significant figures, $86\\,240\\text{ J}$ becomes\n\n$$\\boxed{86\\,000\\text{ J}}$$\n\nEquivalently, this is $86\\text{ kJ}$. The calculation and correct rounding earn **A1**.","highlights":[{"text":"Give your answer to 2 significant figures.","location":"specification"}]}]}],"generatedAt":"2026-07-22T09:19:48.204Z","modelVersion":"gpt-5.6-terra+diagrams-1","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"a27334ea-cc12-4a0f-bdb0-4f577dd89c54","revisionId":"a1d792ee-584c-4d24-8b19-e74a98816a98","questionNumber":null,"questionType":"LA","specification":"","difficulty":2,"difficultyBand":"easy","totalMarks":2,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"3ea48ac7-55f4-4c21-a449-d577c003621f","label":null,"content":"An automatic safety switch contains a spring. When the switch is set to the 'on' position, the spring is stretched.\n\nThe extension of the spring is \$0.050\\text{ m}\$.\nThe spring constant is \$320\\text{ N/m}\$.\n\nCalculate the elastic potential energy stored in the spring when the switch is set to 'on'.\n\nUse the equation:\n\\[\\text{elastic potential energy} = 0.5 \\times \\text{spring constant} \\times (\\text{extension})^2\\]","markscheme":"- Substitutes the correct values into the elastic potential energy equation: $E_e = 0.5 \\times 320 \\times 0.050^2$ M1\n- Calculates the correct elastic potential energy of $0.4\\text{ J}$ A1","marks":2,"order":0,"markingRubric":null,"explanation":{"methods":[{"id":"substitute_formula","label":"Substitute into the formula","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"E_e=0.5\\times k\\times e^2"},{"latex":"E_e=0.5\\times \\htmlData{anchor=k_used}{320}\\times \\htmlData{anchor=e_used}{0.050}^{2}"}],"highlights":[{"color":"amber","style":"box","anchor":"e_used"}]},"order":1,"title":"Substitute the values","description":"Put the spring constant and extension into the equation exactly as given. This substitution earns the first mark."},{"type":"hyper_latex","block":{"nodes":[{"latex":"E_e = 0.5 \\times 320 \\times \\htmlData{anchor=extension-squared}{0.050^

Energy changes in a system, and the ways energy is stored before and after such changes

Question 10

Energy changes in a system, and the ways energy is stored before and after such changes Questions

Energy changes in a system, and the ways energy is stored before and after such changes

Question 10

Energy changes in a system, and the ways energy is stored before and after such changes Questions