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A massless pan hangs from a spring that is suspended from the ceiling. When empty, the pan is 48...

Question:

A massless pan hangs from a spring that is suspended from the ceiling. When empty, the pan is 48cm below the ceiling. If a 100g clay ball is placed gently on the pan, the pan hangs 70cm below the ceiling. Suppose the clay ball is dropped from the ceiling onto an empty pan. What is the pan's distance from the ceiling when the spring reaches its maximum length?

Energy Stored by a Spring:

Let a spring of constant k is acted upon by a force such that it got compressed by a distance x. Then the potential energy stored by the spring is given by {eq}E_P= \frac{1}{2}kx^2 {/eq} and the restoring force is given by {eq}F=kx{/eq}.

Answer and Explanation:

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Given the conditions of the problem, the pan's distance from the ceiling when the spring reaches its maximum length is 94cm. This problem gives us the...

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Practice Applying Spring Constant Formulas

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Chapter 17 / Lesson 11
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In this lesson, you'll have the chance to practice using the spring constant formula. The lesson includes four problems of medium difficulty involving a variety of real-life applications.


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