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Problem Statement:

The average force constant of truth of this claim, we gathered the Force Constants every trial of Hookes

Law Experiment. It is consisting a 4 N/m spring is 5.25 Newton per meter when a certain mass is added

to the spring. To test the of 4 trials and heres the following data of the Force Constants: 5.07, 5.30,

5.33, and 5.25. Is the Force constant of a 4 N/m spring claim true?

Introduction:

Hookes law, law of elasticitydiscovered by the English scientist Robert Hookein 1660, which

states that, for relatively small deformationsof an object, the displacementor size of the deformation

is directly proportional to the deforming force or load. Under these conditions the object returns to its

original shape and size upon removal of the load. Elastic behavior of solids according to Hookes law

can be explained by the fact that a small displacement of their constituent molecules, atoms,

or ionsfrom normal positions is also proportional to the force that causes the displacement.

The deforming force may be applied to a solidby stretching, compressing, squeezing, bending, or

twisting. Thus, a metal wire exhibits elastic behavior according to Hookes law because the smallincrease in its length when stretched by an applied force doubles each time the force is doubled.

Mathematically, Hookes law states that the applied forceFequals a constant ktimes the

displacement or change in length x, or F= kx. The value of kdepends not only on the kind of elastic

material under consideration but also on its dimensions and shape.

Methodology:

A use of an experiment, Hookes Law Experiment, in Physics11 Laboratory was used to obtain the data.

Given the experiment paper, we gathered the specific data needed from this study. The experiment was

performed by the physics11 students. This allows us to use a performed experiment and not predicted

values to ensure that we really understand what this is all about.

Background Study:

The Hookes Law experiment was the fifth experiment in Physics11 Laboratory. The objectives of the

experiment are the following: To study the elastic properties of the spring, to determine the force

constant of the spring, to investigate the relationship between the deforming force and the amount the

spring stretches, and to determine the total work done on the spring when it is being stretch.

The theory of this experiment explains that Elasticity refers to a property by which an object changes its

length, shape or size under the action of a deforming force and recovers its original configuration upon

the removal of force.

The deformation of an elastic material obeys Hookes Law which states that Within the elastic limit of a

body, the deforming force is directly proportional to the elongation of the body.

Abstract:

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The main purpose of this research is to claim whether the average Force Constant of the spring satisfies

the gathered data as we mention in the problem statement. Since the population is only 4, which is less

than 30, we used the t-test hypothesis statistical test using the claimed average Force Constant of the

spring as the null hypothesis. Calculations were done and as a result, the claimed average Force

Constant of the spring was accepted because the computed value is in the accepted area of the critical

value.