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Ib Physics Ia

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IB Physics Internal Assessment
Andy Tang
Research Question
In this internal assessment, I am given a cantilever to find the physical properties of it. I decide to investigate the relationship between the force I act on one side of the cantilever and the maximum acceleration the tail can reach. This experiment will be also showing the elasticity of the cantilever. Since I pull down one side of it and fixed the other side, when I cut the string, it will bounce up and down until all the internal energy is depleted.
Text books

Newton meter
Accelerometer

Equilibrium line

Materials 1) A piece of cantilever that is made by acrylic plastic (length:35.2cm±0.1; Width:4.0cm±0.1; thickness:0.2cm±0.1) 2) An accelerometer (sensor;
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By considering the formula: Ep=kx2/2, when x (the displacement caused by deformation) cannot be changed any more, the potential energy will not be changing. When there is no more energy added into the system, the acceleration will not change.

Raw Data Table Force (N±0.05) | Acceleration (ms^-2)(±0.2) | | Trial 1 | Trial 2 | Trial 3 | | max | min | max | min | max | min | 0.75 | 22.3 | -18.5 | 21.2 | -15.3 | 25.7 | -26.1 | 1.00 | 40.6 | -36.3 | 36.9 | -42.5 | 35.6 | -35.2 | 1.25 | 48.7 | -43.4 | 46.6 | -37.2 | 40.7 | -39.3 | 1.50 | 52.7 | -55.6 | 52.0 | -41.7 | 49.1 | -45.9 | 1.75 | 55.3 | -52.7 | 57.3 | -53.0 | 50.2 | -48.3 | 2.00 | 64.7 | -57.5 | 66.8 | -55.0 | 65.6 | -56.1 | 2.25 | 69.8 | -59.7 | 67.3 | -61.2 | 65.3 | -63.2 | 2.50 | 78.0 | -63.8 | 68.0 | -63.8 | 64.3 | -62.8 | 2.75 | 74.7 | -63.8 | 83.8 | -63.8 | 83.7 | -63.2 | 3.00 | 83.8 | -63.8 | 83.1 | -63.8 | 83.6 | -63.8 |
Force uncertainty: The least count of the Newton meter that I used is 0.25N. Although the interspace of each scale is wide enough for me to determine, I was not able to control the tension force which I act on the Newton meter. This created the uncertainty of the force measurement. By noticing the fluctuation of the indicator, I estimate the uncertainty of the force is about 0.05N.
Acceleration uncertainty: The data of the acceleration were
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