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Experiments performed on the wing of a hawkmoth show that it deflects by a distance of x = 5.0 mm...

Question:

Experiments performed on the wing of a hawkmoth show that it deflects by a distance of x = 5.0 mm when a force of magnitude F = 3.5 mN is applied at the tip.

(a) Treating the wing as an ideal spring, find the force constant of the wing.

(b) Treating the wing as an ideal spring, find the energy stored in the wing when it is deflected.

(c) What force must be applied to the tip of the wing to store twice the energy found in part (b)?

Elastic Potential Energy:

Elastic potential energy is a type of potential energy. This particular potential energy is stored in a spring when we disturb the spring from its equilibrium position. The elastic potential energy does not depend on whether an object is attached to the spring or not. The only dependences of the elastic potential energy are the spring constant k of the spring as well as the displacement of the spring from its equilibrium position.

Answer and Explanation:

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Given:

  • {eq}\displaystyle \rm x = 5\ mm = 0.005\ m {/eq} is the deflection distance
  • {eq}\displaystyle \rm F = 3.5\ mN = 0.0035\ N {/eq} is 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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