# A dart is loaded into a spring-loaded toy dart gun by pushing the spring in by a distance d. For...

## Question:

A dart is loaded into a spring-loaded toy dart gun by pushing the spring in by a distance d. For the next loading, the spring is compressed a distance d/3. How much work is required to load the second dart compared to that required to load the first?

## 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}

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Given:

A dart is loaded into a spring-loaded toy dart gun by compressing the spring of constant k by a distance d.

Work done in compressing is equal...

Practice Applying Spring Constant Formulas

from

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.