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Suppose that 4J of work is needed to stretch a spring from its natural length of 26 \ cm to a...

Question:

Suppose that {eq}4 \ J {/eq} of work is needed to stretch a spring from its natural length of {eq}26 \ cm {/eq} to a length of {eq}38 \ cm {/eq}.

a. How much work is needed to stretch the spring form {eq}28 \ cm {/eq} to {eq}36 \ cm {/eq}? (Round your answer to two decimal places.)

b. How far beyond its natural length will a force of {eq}45 \ N {/eq} keep the spring stretched? (Round your answer to two decimal places.)

Hooke's Law

The Hooke's Law is a principle in physics that states that the force needed to extend or compress a spring by some distance is proportional to that distance. In equation this is expressed as {eq}F=kx {/eq}, where {eq}F {/eq} is the force applied to the spring, {eq}x {/eq} is the displacement of the spring and {eq}k {/eq} is the spring constant.

Answer and Explanation:

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a.

Let's begin by getting the spring constant of the spring. We can compute for it using the Hooke's law.

$$F=kx $$

When {eq}4\,\text{J} {/eq} of...

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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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