A vertical spring stores 0.956 J spring potential energy when a 3.5 kg mass is suspended from it....

Question:

A vertical spring stores 0.956 J spring potential energy when a 3.5 kg mass is suspended from it. Calculate the spring potential energy when a 7.0 kg mass is attached to the spring.

Elastic Potential Energy Stored in the Spring:

Spring is an elastic device that is capable of storing elastic potential energy when it is compressed or elongated. The total elastic potential energy stored in the spring with a spring constant {eq}k {/eq} when it is compressed or elongated by an external force {eq}F {/eq} is given by the equation below.

$$F = \dfrac{F^2}{2k} $$

Answer and Explanation:

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We are given

  • The mass of the initial object suspended from a vertical spring: {eq}m_1 = 3.5 \ \rm kg {/eq} .
  • The initial potential energy of the...

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Practice Applying Spring Constant Formulas

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Chapter 17 / Lesson 11
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In this lesson, you'll have the chance to practice using the spring constant formula. The lesson includes four problems of medium difficulty involving a variety of real-life applications.


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