A hand exerciser utilizes a coiled spring. A force of 85.0 N is required to compress the spring...

Question:

A hand exerciser utilizes a coiled spring. A force of 85.0 N is required to compress the spring by 0.0151 m. Determine the force needed to compress the spring by 0.0503 m.

Hooke's Law:

When a spring is stretched or compressed by an external applied force, it tends to oppose the applied force in a bid to restore itself to its equilibrium position. The magnitude of the applied force is directly proportional to the magnitude of the stretch or compression. This a consequence of Hooke's law.

Answer and Explanation:

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Given,

  • magnitude of the applied force, {eq}F = 85.0\ \rm{N} {/eq},
  • magnitude of the compression, {eq}x = 0.0151\ \rm{m} {/eq},

Let the spring...

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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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