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In a room that is 2.80 m high, a spring (unstrained length = 0.30 m) hangs from the ceiling. A...

Question:

In a room that is 2.80 m high, a spring (unstrained length = 0.30 m) hangs from the ceiling. A board whose length is 2.00 m is attached to the free end of the spring. The board hangs straight down so that its 2.00 m length is perpendicular to the floor. The weight of the board (104 N) stretches the spring so that the lower end of the board just extends to, but does not touch the floor. What is the spring constant of the spring?

Spring constant

The spring remains in its unstretched condition till a load is applied. The load on the spring causes the spring to extend and the amount of extension is controlled by the spring constant.

Answer and Explanation:

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Given:

  • The height of the ceiling = L = 2.8 m
  • The length of the board = {eq}L_0 = 2 \ m {/eq}
  • The unstretched length of the spring is given as =...

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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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