Physics Lab on the acceleration of gravity

# Physics Lab on the acceleration of gravity - Lab 3 Newtons...

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Lab 3: Newton’s Second Law and Energy Conservation

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I. Lab Notes One discrepancy was noticed in the data obtained from the computer between the time recorded for a given data point, and its corresponding time within the file for another measurement, though all three times for one data point should be the same. For instance, the time recorded for point number 3 of trial 1 within the position file is 0.0615 while the time recorded for the same point of the same trial for velocity is 0.0916 and 0.1017 for acceleration. Further investigation revealed, however, that for position and acceleration, each time was recorded correctly, but that the point number did not necessarily correspond to its line number. Evidently, the sensor began recording each measurement at a slightly different time, so it became necessary to line the data points up according to time, and not line number. Furthermore, once the position and acceleration tables were lined up correctly, the velocity table could be lined up such that each of its time values fell directly in-between the adjacent time value and the subsequent one. Midway through the experimentation of the lab, it was noticed that the string came up over the pulley towards the cart, but was being dragged down again to slide along the underside of a bar about 2cm away from the pulley itself. Because this possibly unnecessary friction had already been part of the data, it was left as such, but the collected data may have been cleaner should this fact have been noticed sooner. II. Introduction The purpose of this lab was primarily to calculate the acceleration of gravity through observation of a falling mass. Varying weight was attached to one end of a string that was hung over a pulley, while the other end was fixed to a cart on a track. When the weight was allowed to fall, the cart accelerated into a barrier and bounced back. A motion sensor and computer were used to gather data about the cart’s varying position, velocity, and acceleration after the weight was released and following its collision. The data was analyzed to show relationships between the motion of the cart, the magnitude of hanging weight, and predictions made using Newton’s laws. III. Data The data used in this lab was collected by a computer and exported into a series of text files. The position, velocity, and acceleration of the cart were recorded and saved to separate files for each of 40 trials. Each of these 120 text files contained around 120 data points, which each included one value for time elapsed in seconds in addition to one for the measure being recorded. This totals to approximately 28,800 recorded values in text form, which proves analyzing the experiment as a whole using a program like excel highly inefficient. However, the use of a programming language proved effective in executing the large
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## This note was uploaded on 10/15/2008 for the course PH 112 taught by Professor Wolf during the Spring '08 term at Cooper Union.

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Physics Lab on the acceleration of gravity - Lab 3 Newtons...

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