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# This lab will test the effects of the surface area factor on acceleration due to gravity.

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Introduction

Physics 20IB: Accelerated Motion in Free-fall Lab Design: Problem: - What are the effects of surface area in acceleration due to gravity? Experimental Design: - This lab will test the effects of the surface area factor on acceleration due to gravity. Pieces of paper will be dropped down and timed from high point of release, where the release point will be constant to reduce human timing/reaction errors. The paper will be folded proportionally (always half of the previous) to manipulate the surface area; five trials will be recorded - four of the closest results will be put into use as data for this lab. Hypothesis: - The time of descent of the paper will get faster as the surface area of the paper decrease. The increase and decrease in the time of descent should be caused by natural factors such as air resistance acting towards the surface area of the paper in the test environment. Variables: - Manipulated Variable: Surface Area The surface area of the paper will be measured with a ruler before each trial takes place. The surface area will always be measured to the nearest 0.01cm by using a ruler measuring in millimeters and converting it back to centimeters. ...read more.

Middle

o Dimensions: o Percent Uncertainty for each =0.469...% and =0.730...% o Values multiplied and Percent Uncertainty added =72.95cm2 and 0.469%+0.365%=1.199% o Final Absolute Uncertainty: 3. Average Time - Paper Size Data Table: Paper Size: Average Time of Descent0.35s 1 Full Paper (583.62cm2�2.44cm2) 6.25s 1/2 Of Origin Paper (291.81cm2�cm2) 4.69s 1/4 Of Origin Paper(145.91cm2�cm2) 3.61s 1/8 Of Origin Paper(72.95cm2�cm2) 2.30s 4. Theoretical Average Time - Paper Size Data Table: *Assumed tested in a perfect vacuum, mass would not matter became there will be no external forces interacting with the paper Paper Size: Time of Descent 1 Full Paper (583.62cm2�2.44cm2) 1.03s 1/2 Of Origin Paper (291.81cm2�cm2) 1.03s 1/4 Of Origin Paper(145.91cm2�cm2) 1.03s 1/8 Of Origin Paper(72.95cm2�cm2) 1.03s Calculations: Acceleration due to gravity: -9.81m/s2 Formula To Calculate Final Velocity of Paper: Vf2 = Vi2 + 2ad Vf= = 10.100....m/s Time Used For Paper to Drop from 520cm (5.20m): d = 5.2=10.100/2 (t) > t=1.02970297...s t=1.03s - Mass is not accounted in the theoretical result, because mass of objects do not account as a factor in a vacuum. Graphical Comparison of Physical and Theoretical Results: 5. Trends from the Comparison of Physical and Theoretical: Results Physical Theoretical Difference* Ratio& Size: Full 6.26s 1.03s 5.23 6.08 Size: 1/2 4.67s 1.03s 3.64 4.53 Size: 1/4 3.66s 1.03s 2.63 3.55 Size: 1/8 2.30s 1.03s 1.27 2.23 - ...read more.

Conclusion

Improvement to Experimental Procedure The first problem presented in the evaluation of procedure could have easily been fixed with the access to printer paper at the school, the printer papers would have resulted a more accurate time because there will be no holes in them. The second problem could have been solved by simply adding a piece of tape on the paper to prevent the unfolding during its air time, we would also improve this step by keeping the mass of the tape �0.01g to keep a constant mass. The third and fourth problem presented in the evaluation of procedures can be summarized as one, the third problem could be very difficult to solve based on the limited equipment we have, but I believe the best solution to this problem is to perform the experiment in a "closed" system, meaning that it's done inside a controlled environment, the area, air flow and pressure will remain the same, this test apparatus can be found at the back of the school's science lab where students usually perform their chemistry experiments, I would add a support stand at the bottom where I can place the paper at a perfect angle parallel to the ground then release it quickly to start timing, this "closed" system would also solve the problem of the paper hitting the wall and give a more accurate over all time result. ?? ?? ?? ?? ...read more.

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