PHY112_Lab 1

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Rio Salado Community College *

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112

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Physics

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Apr 3, 2024

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Repelling Charge versus distance Question: what is the relationship between two similarly charged objects and the distance between each other? Materials:  Balloon  Tape  Fishing wire  Pith ball  Ruler Procedures: 1. Suspend the pith ball from two equal-length fishing wires. 2. Measure the length between the pith ball and the surface from which it is suspended. 3. Charge the inflated balloon using a wool sweater or pet hair. 4. While measuring the distance between the balloon and the pith ball, record the displacement of the pith ball. 5. Continue this measuring while moving the balloon closer to the pith ball. 6. Ensure you have at least 6 data points, preferably at regular intervals. Photographs: Data: L = 26.5 cm = 0.265 m R D 0.15 m 0.003 m 0.125 m 0.010 m 0.10 m 0.012 m 0.075 m 0.025 m 0.050 m 0.025 m 0.025 m 0.03 m

Calculations & Graphs: F static = (mg)(d/L) M = 0.01 g = 1x10 -4 kg G = 9.8 m/s 2 L = 26.5 cm = 0.0265 m R (in m) D (in m) F static (in N) 1/r 2 (in 1/m 2 ) 0.15 0.003 F = (1x10 -4 kg *9.8 m/s 2 ) (0.003m/0.265m) = 1.11x10 -6 1/(0.15) 2 = 44.44 0.125 0.010 3.70 x10 -6 64.00 0.10 0.012 4.44 x10 -6 100.00 0.075 0.025 9.25 x10 -6 177.78 0.050 0.025 9.25 x10 -6 400.00 0.025 0.03 1.11 x10 -5 1600.00 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0 0 0 f(x) = − 0 x + 0 Distance versus F static distance r (m) Fstatic (N)

0 200 400 600 800 1000 1200 1400 1600 1800 0 0 0 f(x) = 0 x + 0 1/r2 versus F static 1/distance^2 (m) F static (N) Results: Between the displacement of the balloon and the F static, we can see a clear downward trend as the distance increased between the two objects that is not perfectly linear. The data points when comparing F static and 1/r 2 show no clear trendline, but can be seen to trend upwards as distance decreases, Conclusion: According to Coulomb’s Law, the distance between two charged objects and the electric force between them is inversely proportional. This principle was not observed in this experiment due to a variety of errors. Unable to achieve a charged balloon, multiple attempts were made and the balloon provided with the laboratory kit did not survive, therefore, the size of the balloon used is drastically greater than the balloon intended for this experiment. In addition, the ruler used for this experiment also seemed to have influenced the displacement of the pith ball, which led to an additional variable in the experiment that was not measured or considered in the analysis. While we can see traces of the relationship between the distance between the balloon and pith ball and their static electricity, the data points achieved cannot show accurately their true mathematical relationship. Analysis: If we were to repeat this experiment with the same r values, our data points would still be different. The weather, the amount of charge on the balloon, and the size of the balloon all make an impact on the resulting displacement of the pith ball. On the other hand, the relationship observed would not change, as the net total charge would still equal zero. If we doubled the distance between the balloon and the pith ball, the static electricity between them would be reduced. The relationship between them is inversely proportional, and so as the distance doubled, the static charge would decrease by one-fourth.

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