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Hooke's Law

Hooke's Law describes the relationship between the force applied to a spring and its deformation, expressed as F = -k * Δx, where F is force, k is the spring constant, and Δx is the displacement. The law indicates that the force exerted on a spring is directly proportional to its change in length, with the negative sign showing that the force opposes the displacement. An example calculation demonstrates that a spring with a constant of 200 N/m will compress by 0.25 meters when a force of 50 N is applied.

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Krisina Ramsay
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63 views1 page

Hooke's Law

Hooke's Law describes the relationship between the force applied to a spring and its deformation, expressed as F = -k * Δx, where F is force, k is the spring constant, and Δx is the displacement. The law indicates that the force exerted on a spring is directly proportional to its change in length, with the negative sign showing that the force opposes the displacement. An example calculation demonstrates that a spring with a constant of 200 N/m will compress by 0.25 meters when a force of 50 N is applied.

Uploaded by

Krisina Ramsay
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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Hooke’s Law

Hooke's Law is a fundamental principle in physics and engineering that describes the relationship
between the force applied to a spring or elastic material and the resulting deformation or
displacement. It can be expressed as:

F = -k * Δx

Where:
- F is the force applied to the spring.
- k is the spring constant, which represents the stiffness of the spring.
- Δx is the change in the spring's length or displacement from its equilibrium position.

Hooke's Law states that the force exerted on a spring is directly proportional to the amount it is
stretched or compressed, with the negative sign indicating that the force is in the opposite direction
of the displacement.

This law is used to understand and predict the behavior of materials like springs, rubber bands, and
other elastic objects when subjected to various forces.

Here's an example question related to Hooke's Law:

"Imagine you have a spring with a spring constant (k) of 200 N/m. If you apply a force of 50 N to this
spring, how much will it be compressed or stretched according to Hooke's Law?"

You can use the formula F = -k * Δx to solve this question, where F is 50 N and k is 200 N/m. Calculate
Δx, the displacement of the spring, to find the answer.

Answer:
To find the displacement (Δx) of the spring when a force of 50 N is applied with a spring constant (k)
of 200 N/m, you can use Hooke's Law:

F = -k * Δx

In this case, F is 50 N, and k is 200 N/m. To find Δx:

50 N = -200 N/m * Δx

Now, solve for Δx:

Δx = 50 N / (-200 N/m)

Δx = -0.25 meters

So, the spring will be compressed by 0.25 meters when a force of 50 N is applied to it.

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