A pot containing a plant weighing 10 N is hung from ceiling with a group of bungee cords. If...

Question:

A pot containing a plant weighing 10 N is hung from ceiling with a group of bungee cords. If pulled down and released, the pot oscillates vertically with period T = 5s. What is the effective force constant k (in N/m) of the group of the bungee cords?

Spring-Mass System:

Bungee cords are used to absorb the large kinetic energy of the bungee jumper, and to shoot up the stopping distance, the spring constant of the bungee cord is much smaller. In a given situation, the bungee cords are arranged parallel to each other, so the effective spring constant encompasses the sum of the spring constant of each cord. The smaller the spring constant of the bungee cords, the longer will be the time taken by the pot to accomplish one oscillation.

Answer and Explanation:

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Given data:

  • {eq}W=\rm 10 \ N {/eq} is the weight of the pot
  • {eq}m=\rm \dfrac{10 \ N}{9.81 \ \frac{m}{s^2}}=1.02 \ kg {/eq} is the mass 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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