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A child's toy consists of a piece of plastic attached to a spring. The spring is compressed...

Question:

A child's toy consists of a piece of plastic attached to a spring. The spring is compressed against the floor at a distance of 2.00 cm, and the toy is released. If the toy has a mass of 90 g and rises to a maximum height of 80.0 cm, estimate the force constant of the spring. (In N/m)

Energy Stored in a Compressed Spring:

Suppose a spring is compressed {eq}x {/eq} unit, then the amount of energy stored in the spring will be given as follows.

{eq}{E_{spring}} = \dfrac{1}{2}k{x^2} {/eq}

Here, the spring force constant is {eq}k. {/eq}

The energy (of a system) is conserved if the system is isolated from the surrounding means no interaction of energy or work with the surrounding.

Answer and Explanation:

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Given Data:

  • The compression in the spring is: {eq}x = 2.00\;{\rm{cm}} {/eq}
  • The mass of the toy is: {eq}m = 90\;{\rm{g}} {/eq}
  • The maximum...

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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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