Question detail

In a force-extension graph, what does the gradient represent?

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

MCQ

Type

practice

Style

Topic

Forces and elasticity

Question

  1. A. The spring constant.
  2. B. The total force applied.
  3. C. The total extension.
  4. D. The energy stored in the spring.

Answer

The spring constant.

Explanation

The gradient of the straight-line section of a force-extension graph represents the spring constant, indicating how stiff the spring is.

Common mistake

Identifying Proportionality

Students often confuse the straight-line section of a force-extension graph with non-linear sections, leading to incorrect conclusions about proportional behaviour.

To fix this, students should focus on identifying the straight-line section clearly and understand that it indicates a direct proportionality between force and extension, ensuring they differentiate it from any curves present in the graph.

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