Question detail
Explain why doubling the extension of a spring results in more than double the elastic potential energy stored in it.
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
Explain why doubling the extension of a spring results in more than double the elastic potential energy stored in it.
Answer
Doubling the extension of a spring results in more than double the elastic potential energy because the energy is proportional to the square of the extension. Therefore, if the extension is doubled, the elastic potential energy increases by a factor of four, as seen in the equation Ee = 0.5 x k x (2e)² = 2² x Ee.
Explanation
This question assesses the student's understanding of the relationship between extension and elastic potential energy. It requires them to apply their knowledge of the formula and explain the concept of squared relationships in physics.
Common mistake
Common Mistake in Elastic Potential Energy Calculation
Students often confuse the extension in the elastic potential energy equation, using total length instead of just the extension.
Always ensure to measure the extension as the increase in length from the original length, not the total length of the spring.
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