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A mass of 0.40 kg with spring constant of 40N/m. What is the magnitude of acceleration of the...

Question:

A mass of 0.40 kg with spring constant of 40N/m. What is the magnitude of acceleration of the mass when the maximum displacement is 0.25 m?

Hooke's Law

Hooke's Law is a relationship between the force {eq}F_s {/eq} exerted by a spring and the distance {eq}\Delta x {/eq} it has been displaced from its neutral or rest position.

{eq}\vec{F}_s=-k\Delta\vec{x} {/eq}

Note the negative sign, this indicates the force will be directed back toward the neutral position; if calculating only magnitude, disregard the negative. The spring constant {eq}k {/eq} is specific to the individual spring and may be experimentally determined.

Answer and Explanation:

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We are given the following:

{eq}m=0.40 kg {/eq}

{eq}k=40 \frac{N}{m} {/eq}

{eq}\Delta x = 0.25 m {/eq}

From Hooke's Law, the force exerted by...

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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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