# A force of 100\ \mathrm{N} stretches an elastic spring to a total of 20\ \mathrm{cm}. If an...

## Question:

A force of {eq}100\ \mathrm{N} {/eq} stretches an elastic spring to a total of {eq}20\ \mathrm{cm} {/eq}. If an additional force of {eq}100\ \mathrm{N} {/eq} stretches the spring {eq}5\ \mathrm{cm} {/eq} further, find the natural length of the spring.

## Hooke's Law:

Hooke's law relates the force applied to a spring to how much it stretches. Actually, they are directly proportional, with only the spring constant being the proportionality constant that maintains the relationship.

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Determine the natural length of the spring, {eq}\displaystyle l {/eq}. We consider Hooke's law for this problem. We apply the equation,

{eq}\display...

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

from

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.