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 increases the elastic potential energy stored because elastic potential energy is proportional to the square of the extension. The formula for elastic potential energy is Ee = 0.5 x k x e^2, where e is the extension. Therefore, if the extension is doubled, the energy stored increases by a factor of four.
Explanation
This question tests the understanding of the relationship between extension and elastic potential energy, specifically the quadratic relationship. It requires students to apply their knowledge of the formula and the concept of energy storage in elastic materials.
Common mistake
Misunderstanding Elastic Potential Energy
Students often think that doubling the extension of a spring will double the elastic potential energy stored in it.
Students should understand that elastic potential energy is proportional to the square of the extension, so doubling the extension actually increases the energy by a factor of four.
Related flashcards
Flashcard 1 of 5
Related practice questions
Question 1 of 5
Choose an answer, get feedback, then move sideways through the set.