A block of mass m = 1.7kg is dropped from height h = 51cm onto a spring of spring constant k =...

Question:

A block of mass {eq}m = 1.7 kg {/eq} is dropped from height {eq}h = 51 cm {/eq} onto a spring of spring constant {eq}k = 860 N/m {/eq}. Find the maximum distance when the spring is compressed.

Energy Stored in a Spring:

The amount of energy stored in spring during compression or elongation depends on the spring force and constant and change in spring length (compression or elongation). The expression for the amount of energy stored in the spring is given below.

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

Here, the compression (or elongation) is {eq}x, {/eq} and the spring force constant is {eq}k. {/eq}

Answer and Explanation:

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Given Data:

  • The mass of the block is: {eq}m = 1.7\;{\rm{kg}} {/eq}
  • The height of the block is: {eq}h = 51\;{\rm{cm}} {/eq}
  • The spring constant...

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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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