2. An experimenter has collected data of an elastic system and wants to determine whether the data are described by the Hooke's law model: F = -kAx. The experimenter collected these data by setting a meter stick on the lab table in the direction that the spring is stretched. The experimenter then stretched the spring by one recorded Uncertainty in Force (N) Extension Force (m) (N) 0.00 0.01 0.032 0.01 0.73 0.009 0.02 1.57 0.009 0.03 2.39 0.015 0.04 3.38 0.021 centimeter at a time and the 0.05 4.06 0.003 corresponding force measurement at each location. After stretching the spring by six centimeters, the experimenter relaxed the spring by one centimeter at a time until the extension returned to zero. 0.06 4.82 0.032 0.05 4.05 0.026 0.04 3.33 0.021 0.03 2.34 0.033 0.02 1.58 0.015 0.01 0.81 0.024 0.00 0.03 0.035 a. Use any of the analysis tools we have discussed so far to determine how consistent the data are with the model. Submit your analysis spreadsheet(s) and a document that interprets your results. b. Based on your analysis, what should the experimenter do next?
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
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