An ideal spring exerts a force of 6 N when it is stretched 2 cm from its unstretched length. (a)...

Question:

An ideal spring exerts a force of 6 N when it is stretched 2 cm from its unstretched length.

(a) What amount from its unstretched length must the spring be stretched for it to exert a force of 9 N?

(b) What is the spring constant of this spring?

Hooke's Law

In one implementation, Hooke's law state that the force to stretch a spring is proportional to the elongation of the spring: $$\vec{F} = - k \vec{x}~~. $$ The minus sign says that the force counters the stretching or compression, it is a restoring force. k is the spring constant.

Answer and Explanation: 1

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(a): Since Hooke's law gives a linear relation between force and elongation, we deduce that the spring has to be stretched to 1.5 times its length to...

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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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