rmulaUrl":null,"initialIndex":10,"initialQuestionWindow":[{"id":"174def24-b232-411f-bfe8-2dcfd6c4ccf7","revisionId":"984306f6-2081-4107-8cf2-5f4fb3e4ecd7","questionNumber":null,"questionType":"LA","specification":"Figure 1 shows a $15\\text{ N}$ metal block hanging from a vertical spring attached to a fixed support.\n\nOne of the forces acting to stretch the spring is shown by the downward arrow in Figure 1.\n\n![Figure 1: A vertical coil spring suspended from a rigid horizontal line representing a ceiling support. A rectangular block is suspended from the bottom of the spring. A vertical arrow points downwards from the center of the block, labeled '15 N'. There are no other arrows shown.](https://assets.mathsgenie.co.uk/aqa-qb/d5fd20ca-97c6-4152-b558-f4b12c0ef0a1.png)","difficulty":5,"difficultyBand":"easy","totalMarks":2,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"a043cbce-b666-4743-b0d5-2f262c8d5de3","label":null,"content":"Complete the diagram by adding an arrow to show the other force acting to stretch the spring.","markscheme":"- Draws an arrow pointing vertically upwards from the top support or the top of the spring B1\n- Draws the upward arrow of approximately equal length to the downward $15\\text{ N}$ force arrow to represent a balanced force in equilibrium B1","marks":2,"order":0,"markingRubric":null,"explanation":{"methods":[{"id":"balanced_forces","label":"Use balanced forces","steps":[{"type":"text","order":0,"title":"Identify the balancing force","content":"The block and spring are hanging still, so the forces are **balanced**. Balanced forces have a resultant force of $0\\text{ N}$.\n\nThe downward force is $15\\text{ N}$, so the fixed support exerts an equal upward force of $15\\text{ N}$ on the top of the spring.","highlights":[{"text":"$$15\\text{ N}$ metal block hanging from a vertical spring attached to a fixed support","location":"specification"}]},{"type":"text","order":1,"title":"Draw the support force","content":"Add a **vertical upward** arrow starting at the **top support or the top of the spring**. This is the upward force of the fixed support on the spring.\n\nMake this arrow approximately the same length as the given downward force arrow: the spring is stationary, so the forces are balanced.\n\nThe first mark is for a vertically upward arrow **starting at the top support or top of the spring**. The second mark is for making it approximately the same length as the downward arrow.","highlights":[{"text":"other force acting to stretch the spring","location":"specification"}]}]}],"generatedAt":"2026-07-22T11:50:58.787Z","modelVersion":"gpt-5.6-terra+diagrams-1","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"1b727972-1d58-4359-9606-59ba97ef03bb","revisionId":"07b55157-e195-41bf-a4a5-a7c19f897dfd","questionNumber":null,"questionType":"LA","specification":"A spring inside a mountain bike suspension fork has a spring constant of $320 \\text{ N/m}$.","difficulty":3,"difficultyBand":"easy","totalMarks":3,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"37675b95-38b3-4409-a98b-a8b7be8eff45","label":null,"content":"Calculate the work done in stretching this spring by $0.15 \\text{ m}$.\n\nState the unit.\n\nUse the equation:\n$$E_e = \\frac{1}{2} k x^2$$","markscheme":"- Substitutes values into the equation: $E_e = 0.5 \\times 320 \\times 0.15^2$ M1\n- Calculates the value of $3.6$ A1\n- States the unit of work done / energy is $\\text{J}$ (or Joules) B1","marks":3,"order":0,"markingRubric":null,"explanation":{"methods":[{"id":"substitution","label":"Substitute into the equation","steps":[{"type":"text","order":0,"title":"Identify the equation","content":"The equation is given in the question, so use it directly. The spring constant is $k=320\\ \\text{N/m}$ and the extension is $x=0.15\\ \\text{m}$.\n\nThe highlighted wording tells you the quantity to calculate: the elastic energy stored, which is the work done in stretching the spring.","highlight

Forces and springs

Question 8

Forces and springs Questions

Forces and springs

Question 8

Forces and springs Questions