# Suppose that 6 J of work is needed to stretch a spring from its natural length of 26 cm to a...

## Question:

Suppose that 6 J of work is needed to stretch a spring from its natural length of 26 cm to a length of 41 cm.

(a) How much work is needed to stretch the spring from 28 cm to 33 cm?

(b) How far beyond its natural length will a force of 40 N keep the spring stretched?

## Applications of Hooke's Law:

To solve this problem we will use the following theorem:

Hooke's Law: If a force F is applied on a spring and it's displacement is x units then we can write:

{eq}F = kx {/eq}

Where k = spring constant.

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The spring natural length is 26 cm. So it is stretched 15 cm. or 0.15 m. from the natural length.

Now we can write:

{eq}\begin{align*} W &= \int dw...

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.