# If 27 J of work are needed to stretch a spring from 17 cm to 23 cm and 45 J are needed to stretch...

## Question:

If 27 J of work are needed to stretch a spring from 17 cm to 23 cm and 45 J are needed to stretch it from 23 cm to 29 cm, what is the natural length of the spring?

## Natural Length of the Spring:

From this problem, we can see that the spring is stretched two times and also applied force two times. Applying the Hooke's law two times to each cases, we will get two equations. From these two equations, we can find the natural length of spring.

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Let us assume that the natural length of spring be {eq}l {/eq} cm.

From the Hooke's Law we know that the force {eq}(F) = kx {/eq}

where...

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.