Question detail
What does the area under a force-extension graph represent in terms of energy?
Try the question, check the answer, then read the explanation to understand the curriculum point.
At a glance
Question
Type
exam_style
Style
Topic
Forces and elasticity
Question
What does the area under a force-extension graph represent in terms of energy?
Answer
The area under a force-extension graph represents the elastic potential energy stored in the spring or elastic object when it is stretched or compressed.
Explanation
This question tests the understanding of the relationship between force, extension, and energy storage in elastic materials. It requires students to interpret graphical data in the context of energy, which is a key concept in the study of elasticity.
Common mistake
Misinterpreting the slope as energy
Students often think the slope of a force‑extension graph directly gives the elastic potential energy stored, rather than the spring constant.
Explain that the slope is the spring constant (k) and that elastic potential energy is calculated using 0.5 k e², where e is the extension in metres.
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