Conclusion 205 6c2641

*****CONCLUSION*****

The experiment is all about the law of elasticity, which is also called the Hooke’s Law. Hooke’s law states that when you stretch a spring, there will be an extension or the increase in length, which is proportional to the force or load applied to it. And after the force applied to it is removed, it will return to its normal form or original shape.

The objectives of this

experiment are 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 amount the spring stretches, and lastly, to determine the total work done on the spring when it is being stretch. In the first part of the experiment, we determined the force constant of the 4 N/m spring by using the formula 𝑘 =

𝐹 𝑥

, which was derived from the mathematical equation of Hooke’s

law, F = kx. For the force constant of the four trials, we got the same answers which is 0.8167 N/m. At first, knowing that in every trial we used different masses, forces, and displacement, we expected that we’re going to also have different values of force constants. But with the result that we got, having the same values of force constants for every trial, we concluded that because the mass is increasing in every trial, the force applied also increased together with the displacement. Relating it to Hooke’s Law, the increased in length or the displacement of the 4 N/m spring is proportional to the force applied to it. In the second part of the experiment, using different spring, we also got the same values of force constants in every trial, which is 0.5444 N/m. The average of force constants for the first and second part are the same as the force constants of their Trials, which is 0.8167 N/m and 0.5444 N/m, respectively. And because of that, when we computed for the percent difference, the result is 0%. The first two parts of the experiment was successful. For the last part of the experiment, we determined the work done on the spring using the data in the first two parts of the experiment. For the first trial, using the data in Table 1A, the total wok done that we got is 0.1470 J. While in the area under the F vs. x graph, we also got 0.1470. They are the same because the area under the F vs. x graph also represents the total work done on the spring, even though they used different formulas. The formula for area under

the F vs. x graph was just derived from the total work done equation which is 𝑊 = 1 2

𝑘(𝑥𝑓 2 − 𝑥𝑜 2 ). Same goes to the second trial, using the data in Table 1B. We got 0.2205 for

the work and area under the F vs. x graph. The percent different of both trials are 0%. It means that the last part of the experiment was also successful. The whole experiment was successful because we did the procedures well. Just by looking at the data that we gathered, we could already tell if there’s some error we committed while doing procedure. We recommend to those who will be doing the same experiment to follow and do the instructions/procedure carefully. They have to measure the displacement accurately because if they measured it wrong, it could lead to an increase in percent difference or error. And they also have to be careful by not stretch the spring more than twice of its original length because the spring can be damaged.