A cable on a suspension bridge supports a weight of 19.3 × 10⁵ N. This weight causes the cable to stretch by 47 mm. A lorry crossing the bridge then increases the force on the cable to 23.3 × 10⁵ N. The force-extension graph for the cable is shown. [Figure shows a force/N versus extension/mm graph. It is a straight line passing through (0,0), (47 mm, 19.3 x 10⁵ N) and (57 mm, 23.3 x 10⁵ N).] What is the increase in strain energy in the cable when the lorry is crossing the bridge?
✓ Correct Answer
The correct answer is A: 21 kJ
📋 Examiner Report & Trap Analysis
Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...
🎯 Mark Scheme Breakdown
Award 1 mark for identifying the correct principle. Award 1 mark for showing clear working. Common errors include failing to convert units and misreading the scale. The examiner report notes that only 34% of candidates achieved full marks on this question.
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