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Investigating Hooke's Law

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Introduction

Investigating Hooke's Law Aim The aim of my coursework is to investigate and achieve a clear understanding into whether Hooke's law is true and to what extend in which it works and why. Prophecy Hooke's law states that if we add the same sized mass on to a spring its length should increase by a regular amount. For example when you double mass the extension should double. This should work until a spring reaches its elastic limit. The elastic limit of a spring is when the weight (stress) is too much and causes the spring to be permanently deformed and it does not return to its original length .The amount of deformation, as a fraction of the original size, is called strain. Elasticity is the property and the name given to a material that resumes its original size and shape after having been compressed or stretched by an external force. The elastic limit of a spring is determined by the molecular structure of the material of the actual spring. When a force is applied to the spring creating stress within the material, the molecular distances change and the material becomes deformed. Below the elastic limit, when the applied force is removed, the molecules return to their balanced position, and the elastic material goes back to its original shape. Beyond the elastic limit, the applied force separates the molecules to such an extent that they are unable to return to their original positions, and the material is permanently deformed or broken apart. ...read more.

Middle

The extension of this is 25mm. Therefore if I carried on with this I predict that if I plot a graph showing extension against the amount of masses added then it will look something like this; Method Equipment The equipment that I will need for this practical part of the investigation is; > Clamp stand > Meter ruler > Short spring > Goggles > Masses (50g) > Pen > Paper Safety Issues I will have to consider safety issues whilst carrying out my investigation for obvious reasons. I will have to wear goggles to ensure that, if I take the spring that I am investigating past its elastic limit that it will not flick up and strike my eye. Safety in the actual lab has to be considered, all stools have to be tucked in under the desk and coats and bags need to be hung up neatly at the side of the classroom away from any investigations. Also I will have to be alert to respond to any instructions that the teacher has to put forward and the practical work it self has to be taken seriously and maturely. Fair Test I will have to keep this investigation a fair test do that my results are as accurate as they can be. The way that I will keep it a fair test is that I will only have one variable and I will have to accurately measure the length of extension and not just round it to the nearest decimal place. ...read more.

Conclusion

Results 1st attempt 2nd attempt Weight Length Extension Length Extension 0 60 0 60 0 50 85 25 85 25 100 110 50 115 55 150 130 70 130 65 200 155 95 151 91 250 180 120 173 113 300 200 140 205 145 350 225 165 225 165 400 240 180 240 180 450 260 200 265 205 500 285 225 290 230 Working out Average Extension; 50g = 25 + 25 = 50 � 2 = 25 100g = 50 + 55 = 105 � 2 = 52.5 150g = 70 + 65 = 135 � 2 = 67.5 200g = 95 + 91 =186 � 2 = 93 250g = 120 + 113 = 233 � 2 = 116.5 300g = 140 + 145 = 285 � 2 = 142.5 350g = 165 + 165 = 330 � 2 = 165 400g = 180 + 180 = 360 � 2 = 180 450g = 200 + 205 = 405 � 2 = 202.5 500g = 225 + 230 = 455 � 2 = 227.5 I will now put what I have worked out in a table then plot a graph of the mass against the length of the spring and another graph showing the mass against the extension. Weight (g) 0 50 100 150 200 250 300 350 400 450 500 Average Extension (mm) 0 25 52.5 67.5 93 116.5 142.5 165 180 202.5 227.5 Conclusion By looking at my graphs I can see a trend. On both graphs series 1 represents the first investigation into Hooke's law and series 2 represents the second investigation that was carried out for reliability. Evaluation ...read more.

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