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Tendons are strong elastic fibers that attach muscles to bones. To a reasonable approximation,...

Question:

Tendons are strong elastic fibers that attach muscles to bones. To a reasonable approximation, they obey Hooke's law. In laboratory tests on a particular tendon, it was found that, when a 250g object was hung from it, the tendon stretched 1.23 cm. Find the force constant of this tendon.

Hooke's Law:

Many objects behave like springs: a force is required to stretch them out and the farther they are stretched, the more force is required. If the force required to stretch an object is directly proportional to the amount it has been stretched, then that object obeys Hooke's law:

{eq}F = kx {/eq} where:

  • x is the amount an object has been stretched (the difference between its new position and its original, unstretched position)
  • k is the spring constant: a measure of how stiff the particular object is

By Newton's third law, this force comes in a pair: it is the force required to stretch a spring out, but it is also the force that a spring exerts on whatever it is attached to.

Answer and Explanation: 1

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Given the conditions of the problem, the force constant of this tendon is 199.2 N/m.

Let's consider the object hanging from the tendon. When it has...

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Hooke's Law & the Spring Constant: Definition & Equation

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Chapter 4 / Lesson 19
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After watching this video, you will be able to explain what Hooke's Law is and use the equation for Hooke's Law to solve problems. A short quiz will follow.


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