Question detail

Which of the following equations is used to calculate the force acting on a spring when it is stretched by a given extension?

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. F = k × e
  2. B. E = 0.5 × k × e²
  3. C. F = m × g
  4. D. E = m × c × Δθ

Answer

F = k × e

Explanation

The force on a spring is given by Hooke’s law, F = k × e, where k is the spring constant and e is the extension. The other equations calculate elastic potential energy, weight, or heat energy, not the force.

Common mistake

Confusing Calculations

Students often confuse force-extension calculations with elastic potential energy calculations, leading to incorrect results.

To fix this, clearly identify whether you are calculating force using Hooke's law (F = k * e) or elastic potential energy (Ee = 0.5 * k * e^2) and ensure you use the correct formula for each scenario.

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