The purpose of this experiment was to determine the spring constants, k, for individual springs.
The experiment was made to test Hooke’s Law. We hypothesized that the greater the force needed to
stretch a spring up to a given distance, the larger the spring constant (in which case, a spring that is very
hard to stretch, or high stiffness, will have a larger spring constant). By using a force sensor, springs of
three different sizes, and a support stand, each spring was stretched, from its equilibrium point. By
analyzing our findings, we saw that our hypothesis was correct: the greater the force required to stretch
the spring, the larger the spring constant (therefore, the spring that was hardest to stretch had the largest
This laboratory experiment was significant as it consisted of two important variables,
the spring size and the force applied, to determine the spring constant of springs of different sizes.
This report discusses an experiment to study the spring constant of various springs. Since
the experiment was performed in a laboratory setting, there was no considerable concern with air
resistance that had to be tolerated. We hypothesized that there was a direct relationship between
the spring constant and the force applied on the spring, that the harder it was for the spring to
stretch, the larger the spring constant. The experiment was designed to test Hooke’s law.
If a spring is stretched or compressed a small distance from its equilibrium position, the
spring will exert a force on the body given by Hooke's Law:
This law states that the force exerted on the spring, Fs, is directly proportional to the spring
constant. Here, x is the displacement of the body from its equilibrium position (at x= 0). The
spring constant is an indication of the spring's stiffness. Based on Hooke’s relationship, a large
value for k indicates that the spring is stiff; a low value for k means the spring is soft. The
negative sign in the equation indicates that the direction of Fs is always opposite the direction of
The experiment was important because it described the relationship between the applied
force and the spring constant. This report presents the procedures for the experiment, the
experiment’s results, and an analysis of those results.