A block of wood is compressed 2.0\ \mathrm{nm} when inward forces of magnitude 120\ \mathrm{N}...


A block of wood is compressed {eq}2.0\ \mathrm{nm} {/eq} when inward forces of magnitude {eq}120\ \mathrm{N} {/eq} are applied to it on two opposite sides.

a. Assuming Hooke's law holds, what is the effective spring constant of the block?

b. Assuming Hooke's law still holds, how much is the same block compressed by inward forces of magnitude {eq}480\ \mathrm{N} {/eq}?

c. How much work is done by the applied forces during the compression of part (b)?

Hooke's Law:

In an activity, a jumper jumps on an elastic bed having force constant (k). In this activity, the compression in the bed will be directly proportional to the restoring force offered by spring.

Answer and Explanation:

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Given data:

  • Compression, {eq}x = 2.0 \ \rm nm = 2.0 \times 10^{-9} \ \rm m {/eq}
  • Force, {eq}F = 120 \ \rm N {/eq}
  • Force in the second case, {eq}F'...

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Learn more about this topic:

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


Chapter 4 / Lesson 19

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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