A spring has a natural length of 24 cm. Compare the work W_1 done in stretching the spring from...

Question:

A spring has a natural length of 24 cm. Compare the work {eq}W_1 {/eq} done in stretching the spring from 24 cm to 34 cm with the work {eq}W_2 {/eq} done in stretching it from 34 to 44 cm.

(Use k for the spring constant.)

{eq}\displaystyle W_1=\frac{k}{200} {/eq}

{eq}\displaystyle W_2=\frac{3k}{200} {/eq}

How are {eq}W_2 {/eq} and {eq}W_1 {/eq} related?

{eq}\displaystyle W_2 = 3W_1 {/eq}

Spring Constant

Spring constant shows, how the force of the spring is pulling or pushing changes as its length changes. The constant is equal to {eq}\displaystyle \frac{F}{l} {/eq} and expressed through {eq}\displaystyle \frac{N}{m} {/eq}, so the force changes linearly.

Answer and Explanation: 1

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As the force changes linearly, the work done is equal to the average of the forces at the beginning and end of the stretching, multiplied by the...

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Hooke's Law & the Spring Constant: Definition & Equation

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Chapter 4 / Lesson 19
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After watching this video, you will be able to explain what Hooke's Law is and use the equation for Hooke's Law to solve problems. A short quiz will follow.


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