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A block (mass m) hangs from a spring (spring constant k). The block is released from rest a...

Question:

A block (mass {eq}m {/eq}) hangs from a spring (spring constant {eq}k {/eq}). The block is released from rest a distance {eq}d {/eq} above its equilibrium position.

a. What is the speed of the block as it passes through the equilibrium point? (Use any variable or symbol stated above along with the following as necessary: {eq}g {/eq} for the acceleration due to gravity.)

b. What is the maximum distance below the equilibrium point that the block will reach? (Use any variable or symbol stated above along with the following as necessary: {eq}g {/eq} for the acceleration due to gravity.)

Spring Force:

The term spring force can be defined as the amount of force employed by the spring when it is expanded or compressed. This quantity depends on the constant known as stiffness and varies with the displacement in spring.

Answer and Explanation:

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Given data

  • The mass of the block is m.
  • The spring constant is k.
  • The acceleration due to gravity is g.


Part (a)

The expression from the...

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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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