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A light spring of constant k = 158 N/m rests vertically on the bottom of a large beaker of water....

Question:

A light spring of constant k = 158 N/m rests vertically on the bottom of a large beaker of water. A 5.55-kg block of wood (density = 650 kg/m{eq}^3 {/eq}) is connected to the spring and the mass-spring system is allowed to come to static equilibrium. What is the elongation, L, of the spring?

Hook's law:

Hook's law states that the restoring force exerted by the spring, on stretching or compressing the spring, is directly proportional to the negative of the spring's elongation or compression. Thus, we can say that the direction of the restoring force is just the opposite direction of the force applied. Mathematically, it is expressed as follows:

{eq}F_{k} = -k \Delta x {/eq}

Where:

  • {eq}k {/eq} is the spring constant.
  • {eq}\Delta x {/eq} is the elongation in the spring.

Answer and Explanation: 1

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Identify the given information in the problem:

  • Spring constant of the spring is {eq}k = 158 \, \rm N/m {/eq}
  • Mass of the block of the wood is...

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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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