A spring has a natural length of 24 cm. If a 28-N force is required to keep it stretched to a...

Question:

A spring has a natural length of 24 cm. If a 28-N force is required to keep it stretched to a length of 30 cm, how much work W is required to stretch it from 24 cm to 27 cm?

Hooke's Law:


The multiplication of spring constant and change in length of spring is known as the force of the spring, its mathematical representation is shown below:

{eq}F=k\Delta x\\ F=k(x_2-x_1) {/eq}, where,

  • k is known as spring constant.
  • {eq}x_1 {/eq} is the length of spring at the initial state or natural length of the spring.
  • {eq}x {/eq} is the elongation in spring.

Answer and Explanation:

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Given values:

  • The natural length of spring at initial state is {eq}x=\rm 24\ cm =\rm 0.24\ m {/eq}.
  • The value of the force is {eq}F=\rm 28\...

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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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