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How does the extension of one spring compare with the extension of two, three and four in parallel?

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Introduction

G.C.S.E Coursework- Springs Aim How does the extension of one spring compare with the extension of two, three and four in parallel? Prediction From Hooke's law, which states that "the extension of a spring is directly proportional to the load, provided that elastic limit is not exceeded" I predict that the more springs that are in parallel the less the extension will be. If a spring has a load of 1N it will have a certain extension. (x) Two springs in parallel will share the 1N load so each will feel 0.5N. The extension the extension for each one of them will be half the extension for one spring on its own. (x/2) Three springs in parallel will also share 1N load only each one this time will feel 0.33N, and each of their extensions will be one third of what it would be for one spring. (x/3) Finally four springs in parallel sharing the 1N load will each have an extension for one spring. (x/4) This because each feel only 0.25N of the 1N load. Equipment List Here is a list of equipment, which I will need to carry out this experiment: - * Retort stand * Clamp * Boss * Springs (4) ...read more.

Middle

Original Length New Length Extension Average 1 2 3 1 2 3 1 2 3 0 48.3 39.6 24.2 48.3 39.6 24.2 0 0 0 0 1 48.3 39.6 24.2 47.4 38.7 23.2 0.9 0.9 1 0.93 2 48.3 39.6 24.2 45.8 37.1 21.6 2.5 2.5 2.6 2.53 3 48.3 39.6 24.2 44.2 35.6 20.1 3.9 4 4.1 4 4 48.3 39.6 24.2 42.7 34.1 18.7 5.6 5.5 5.5 5.53 5 48.3 39.6 24.2 41.3 32.6 17.2 7 7 7 7 4 Springs Newtons Original Length New Length Extension Average 1 2 3 1 2 3 1 2 3 0 67.4 75 65.4 67.4 75 65.4 0 0 0 0 1 67.4 75 65.4 66.6 74.5 64.8 0.8 0.5 0.6 0.63 2 67.4 75 65.4 65.9 73.4 63.6 1.5 1.6 1.8 1.63 3 67.4 75 65.4 65.1 72.5 62.6 2.3 2.5 2.8 2.52 4 67.4 75 65.4 64.2 71.5 61.5 3.2 3.5 3.9 3.53 5 67.4 75 65.4 62.8 70.5 60.6 4.6 4.5 4.8 4.63 Interpretation and Evaluation From my evidence I can clearly see that the less springs in parallel the greater the extension of the springs. From my graph (on the next page) I can see that all four of the lines are straight and accending upwards. ...read more.

Conclusion

When carrying out this experiment I chose two new springs, which were very similar. These were used for two and four springs in parallel. The other two springs were slightly older and had been used many times before. They were used for 1 spring and 3 springs in parallel. Due to this these two older springs extended more than the new ones. This is because they had been used before and so they were easier to stretch and the weights pulled them down much more efficiently that the two new ones. The new ones had never been used before and so the weights found it harder to stretch these springs. This all made the results for the new springs slightly higher compared with the old springs. This can be seen in my gradient table. In conclusion, from my evidence I feel that my results were quite good. All of the springs used Hookes Law, as each one of the extensions was directly proportional to the load. Also the prediction that I made was accurate because like I said the more springs that are in parallel the less the extension will be as they share the load. My results proved my prediction although some of them were slightly low. Due to this my evidence is less reliable because of a number of these anomalies within my results. ...read more.

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