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A person who weighs 620 N steps onto a spring scale in the bathroom and the spring compresses by...

Question:

A person who weighs 620 N steps onto a spring scale in the bathroom and the spring compresses by 0.84 cm.

a. What is the spring constant?

b. What is the weight of another person who compresses the spring by 0.30 cm?

Hooke's Law

To solve the problem, we will apply the concepts related to Hooke's law, which specifies the relationship between the force exerted by a spring, its compression constant and the displacement. Mathematically this relationship is given as,

{eq}F = kx {/eq}

Here,

{eq}k = \text{Spring Constant}\\ x = \text{Displacement} {/eq}

Answer and Explanation:

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PART A) Considering the definition of force by Hooke's law, we have to

{eq}F = kx {/eq}

Here,

{eq}k = \text{Spring Constant}\\ x =...

See full answer below.


Learn more about this topic:

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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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