Chapter 14, Problem 40A

To determine

To Explain: The process through which the spring constant of a spring be determined from a graph of force magnitude versus displacement.

Explanation of Solution

Introduction:

Spring force comes into play when there is a spring and force is acting on the system.

  

The above graph is force vs displacement graph, here the graph is linearly varies. Now spring constant is given by

  $\begin{array}{l}F=-Kx\\ K=-\frac{F}{x}\end{array}$

Here, $K$ is the spring constant, $F$ is the force applied and $x$ is the displacement. Here the negative sign indicate that the spring force is opposite to the applied force.

Conclusion:

Hence, in the graph is force vs displacement graph, here the graph varies linearly.