Discuss how to read out the spring constant k from the graph of data obtained in the two...

Question:

Discuss how to read out the spring constant k from the graph of data obtained in the two experiments below.

i. Student A varies force F exerted on a spring and measures its extension {eq}\Delta x {/eq}, and plots the best-fit line of F vs {eq}\Delta x {/eq}.

ii. Student B varies mass m attached on a spring and measures the angular frequency {eq}\omega {/eq} of its simple harmonic oscillation, and plots the best-fit line of the log {eq}\omega {/eq} vs log {eq}m {/eq}.

Measuring The Spring constant:

The spring constant of spring gives the stiffness of the spring. It is a measure of the spring's opposition to deformation. The greater the spring constant, the more difficult it will be to stretch or compress it. The spring constant can be measured by stretching or compressing the spring and then comparing the extension in the spring and the force applied.

Answer and Explanation: 1

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(i) A spring, when stretched or compressed, will exert a restoring force opposing the deformation.

The restoring force called the Hooke's Law force...

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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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