# A spring has a natural length of 26 centimeters. If a 23-Newton force is required to keep it...

## Question:

A spring has a natural length of 26 cm. If a 23-N force is required to keep it stretched to a length of 40 cm, how much work W is required to stretch it from 26 cm to 33 cm ?

## Work needed to Stretch the Spring:

To solve this problem we will use the following theorem:

Hooke's law: {eq}F = kx {/eq} where {eq}x {/eq} is the distance the spring is stretched from its natural length, and {eq}k {/eq} is the spring constant.

## Answer and Explanation:

Become a Study.com member to unlock this answer! Create your account

View this answerThe spring's natural length is 26 cm. or 0.26 m., so it is stretched 14 cm. or 0.14 m.

Now, we can use:

{eq}W = \int dw = \int F \, dx =...

See full answer below.

#### Ask a question

Our experts can answer your tough homework and study questions.

Ask a question Ask a question#### Search Answers

#### Learn more about this topic:

from

Chapter 4 / Lesson 19After 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.