Question detail

A spring with a spring constant of 120 N m⁻¹ is stretched 0.08 m from its relaxed length. Calculate the elastic potential energy stored in the spring Explain your answer using Elastic potential energy and elastic potential energy.

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

At a glance

Question

Type

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Style

Topic

Forces and elasticity

Question

A spring with a spring constant of 120 N m⁻¹ is stretched 0.08 m from its relaxed length. Calculate the elastic potential energy stored in the spring Explain your answer using Elastic potential energy and elastic potential energy.

Answer

The elastic potential energy is 0.5 × 120 N m⁻¹ × (0.08 m)² = 0.384 J. The spring stores 0.384 J of elastic potential energy.

Explanation

A strong answer should address apply MS 3b and MS 3c skills when calculating elastic potential energy directly. Use the context of Elastic potential energy within Forces and elasticity, then state the relevant forces or motion reasoning with units where needed. The answer is correct when it names the key physics quantity, keeps elastic and plastic deformation distinct, and links the conclusion back to the approved learning objective.

Common mistake

Confusing Elastic Potential Energy with Work Done

Students often confuse the calculation of elastic potential energy with the work done on the spring, leading to incorrect answers.

Remember that elastic potential energy is specifically calculated using the formula Ee = 0.5 x k x e^2, where Ee is the elastic potential energy, k is the spring constant, and e is the extension. Ensure you are using the correct formula for each context.

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