Hooke's Law

Objective:

In this exercise you will verify Hooke's law for a spring and determine the spring constant of the spring.

Setup:

One end of a spring is attached to a rigid support.

                        

Different weights are hung on the other end, and the spring stretches to different lengths.

Procedure:

In the pictures below measure the position of the free end of the spring as a function of the applied force.  Always measure the position of the same physical point.  Measure the position in units of meter and the force in units of Newton.

Use a spreadsheet to plot the applied force versus the position of the free end of the spring.
Use the spreadsheet's least-squares fitting routine to determine slope of the straight line that best fits the data.
Since Fapplied = kx, DFapplied = kDx, and the slope of the straight line will be equal to the spring constant k.  What are the units of k?
Make a prediction.  If the position of the free end of the spring would be at 1.05 m, what would be the applied force?

The pictures:

To earn extra credit add your name and e-mail address to your spreadsheet.  In full sentences answer the following questions.

Did you verify Hooke's law, i.e. did you obtain a straight line plot of force versus position?
What is the spring constant of the spring?
If the position of the free end of the spring would be at 1.05 m, what would be the applied force?

Save your Excel document (your name_exm6.xls) and attach it to an e-mail message to your instructor.