Question detail
What does the gradient of a force-extension graph represent in terms of Hooke's law?
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 gradient of a force-extension graph represent in terms of Hooke's law?
Answer
The gradient of a force-extension graph represents the spring constant of the material. It indicates how much force is required to produce a unit extension in the spring.
Explanation
This question tests the understanding of the relationship between force and extension as described by Hooke's law. A strong answer demonstrates knowledge of how the gradient relates to the stiffness of the spring.
Common mistake
Misunderstanding Gradient
Students often confuse the gradient of a force-extension graph with the total extension, thinking it represents the overall length change rather than the spring constant.
Emphasize that the gradient of the linear section of the graph represents the spring constant, which is the ratio of force to extension, not the total extension itself.
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