# A coiled spring in a waist-trimming exercise requires a force of 54 N to compress it by 0.20 m....

## Question:

A coiled spring in a waist-trimming exercise requires a force of 54 N to compress it by 0.20 m. Find the force constant of the spring.

## Hooke's Law:

Hooke's law states that the force needed to compress or extend a spring is a linear function of the change in length or stretch distance of the spring and the spring constant. The formula for Hooke's law is shown below.

$$F = k\Delta x$$

Where:

• {eq}F {/eq} is the force.
• {eq}k {/eq} is the spring constant.
• {eq}\Delta x {/eq} is the change in the spring's length.

## Answer and Explanation:

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#### Learn more about this topic: 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.