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A bungee rod with a normal length of 4 ft, requires a force of 30 lb. to stretch it to a total...

Question:

A bungee rod with a normal length of {eq}4\ ft {/eq}, requires a force of {eq}30\ lb {/eq}. to stretch it to a total length of {eq}6\ ft {/eq}. The force constant of the bungee cord is

A) {eq}3\ ft./lb {/eq}

B) {eq}6\ ft./lb {/eq}.

C) {eq}10\ ft./lb {/eq}.

D) {eq}15\ ft./lb {/eq}.

E) {eq}18\ ft./lb {/eq}.

Hooke's Law.

Let's consider a very light spring held at one end. Then we apply a force {eq}F_{app} {/eq} in such a way as to stretch the spring a {eq}\delta {/eq} distance. The magnitude of the force applied is proportional to the deformation of the spring. This is the basis for Hooke's law for springs.

Answer and Explanation: 1

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{eq}\text{Known data:}\\ L_0 = 4\,ft\\ L = 6\,ft\\ F_{app} = 30\,lb\\ {/eq}

Let's calculate the bungee cord force constant from Hooke's law for...

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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.


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