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A spring has an unstretched length of 11 cm. It exerts a restoring force F when stretched to a...

Question:

A spring has an unstretched length of 11 cm. It exerts a restoring force F when stretched to a length of 13 cm. For what total stretched length of the spring is its restoring force 3F? At what compressed length is the restoring force 2F?

Hooke's Law:

Hooke's law describes the behavior of a spring (or objects that behave like springs). If we stretch or compress a spring, it will exert a force and attempt to return to its original length (its equilibrium position). This is called a restoring force, and its magnitude is given by Hooke's law:

{eq}F = kx {/eq}

Here, {eq}x {/eq} is the spring's current displacement from its equilibrium position, and {eq}k {/eq} is the spring constant, which measures how stiff the spring is.

Answer and Explanation:

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Let's look at Hooke's law:

{eq}F = kx {/eq}

We can see that {eq}F {/eq} is directly proportional to {eq}x {/eq}; that is, if we want to double...

See full answer below.


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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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