A bathroom scale is compressed 0.08 inch when a 160 lb person stands on it. Assuming that the...

Question:

A bathroom scale is compressed 0.08 inch when a 160 lb person stands on it. Assuming that the scale behaves like a spring that obeys Hooke's law, how much does someone who compresses the scale 0.1 inch weigh? How much work does it take to compress the scale 0.1 inch?

Hooke's Law:


According to the Hooke's law, inside the elastic limit of any solid object, the strain and stress are directly proportional to each other i.e. if {eq}\Delta a {/eq} is the strain and {eq}\Delta b {/eq} is the stress, then Hooke's constant {eq}E=\dfrac{\Delta b}{\Delta a} {/eq}.

Answer and Explanation:

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a) With the given facts, it is obvious that if a person weighing {eq}160 \ \text{lb} {/eq} stands on a bathroom scale, then the scale is compressed...

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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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