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Lab 6:
Energy of a Rolling Object
Elliot Blau
Lab Partner: Taylor Gammons
3/26/2008
TA: Zheng Ren
Section 434, 4:005:30PM
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the work presented in this report.
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View Full Document Data Analysis:
Height of Ramp (m)
Average x
2
(m
2
)
Standard Deviation (m
2
)
0.172
0.339
3
10
8
.
1

×
0.203
0.404
4
10
0
.
9

×
0.236
0.484
3
10
3
.
2

×
0.285
0.604
3
10
7
.
4

×
0.325
0.696
3
10
6
.
6

×
Table 1:
Height, average range
2
, and standard deviation of average range
2
for the metal ball
Linear Regression of range squared against height of the ramp
y = 2.3547x  0.0695
R
2
= 0.9995
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
Height of the ramp (m)
Range squared (m)
Plot 1:
Linear regression line of range squared vs. height of ramp, including R
2
value and
equation of the line for the metal ball
Theoretically
Experimentally
Percent error
Uncertainty of k
Determined k
Determined k
0.412
0.400
2.91%
018
.
0
±
Table 2:
Data showing the calculated k value obtained from using the slope of the plot above,
the theoretical k value, percent error, and uncertainty.
Object
Average x
2
(m
2
)
Standard
Deviation
(m
2
)
k
Uncertainty
of k
Ramp
Height (m)
Wooden Ball
0.311
4
10
3
.
9

×
0.838
±0.001
0.172m
Hoop
0.216
3
10
1
.
1

×
1.647
±0.014
Small
Cylinder
0.327
3
10
3
.
4

×
0.748
±0.023
Large
Cylinder
0.307
3
10
4
.
1

×
0.862
±0.019
Table 3:
Average range squared, standard deviations, k values and uncertainties for wooden ball,
hoop, small cylinder, and large cylinder rolling down the ramp at given height.
Sample Calculations:
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This note was uploaded on 03/27/2008 for the course PHYS 104 taught by Professor Pengyi during the Spring '08 term at UNC.
 Spring '08
 Pengyi
 Physics, Energy, Work, The Land

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