Your work on energy conversion 1 has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
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How far and through what angle did the block displace on a single trial, with rubber band tension equal to the weight of two dominoes?
1.8cm, 15 degrees
5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of two dominoes:
2.3, 15
1.7, 16
1.5, 10
2.5, 12
1.7, 17
Rubber band lengths resulting in 5 cm, 10 cm and 15 cm slides:
10.5, 11.7, 12.4
The stretch of 12.4 cm to reach the 15cm slide was outside the 30% restriction of stretch for this rubberband.
5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of four dominoes:
4.9, 16
5.1, 15
4.4, 10
4.2, 7
4.5, 5
5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of six dominoes:
9.3, 6
10, 10
10.3, 11
9.6, 9
10.5, 3
5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of eight dominoes:
17.6, 5
17.0, 8
19.9, 17
18.3, 12
17.8, 5
5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of ten dominoes:
36.5, 10
39.2, 8
32.7, 10
33.0, 5
34.1, 14
Rubber band length, the number of dominoes supported at this length, the mean and the standard deviation of the sliding distance in cm, and the energy associated with the stretch, for each set of 5 trials:
10.22, 4, 4.62, 0.3701, 7.7672
11.49, 6, 9.94, 0.4929, 13.0986
12.81, 8, 18.12, 1.099, 19.4712
14.19, 10, 35.1, 2.736, 26.961
My energy is reported in units of N*cm.
It looks like you might have used the total lengths of the rubber bands, rather than just the distance of the stretch, to calculate your energies.
Slope and vertical intercept of straight-line approximation to sliding distance vs. energy, units of slope and vertical intercept, description of the graph and closeness to line, any indication of curvature:
0.6107, 6.4762
N*cm/cm (or just N), N*cm
The points cluster relatively close to the best fit line. However, they seem to indicate a slight curve of increasing at a decreasing rate. The curve has a downward concavity.
Lengths of first and second rubber band for (first-band) tensions supporting 2, 4, 6, 8 and 10 dominoes:
1.1586, 4.9729
N*cm/cm (or N), N*cm
The points cluster very closely to the line. There is less curvature to this graph than the previous one, but there is still a slight downward concavity. The graph seems to be increasing at a decreasing rate still.
Mean sliding distance and std dev for each set of 5 trials, using 2 rubber bands in series:
9.59, 9.62
10.22, 10.02
11.49, 10.92
12.81, 11.68
14.19, 12.48
Slope and vertical intercept of straight-line approximation to sliding distance vs. energy, units of slope and vertical intercept, description of the graph and closeness to line, any indication of curvature:
4.12, 0.4438
8.14, 0.4219
17.32, 0.9257
27.86, 1.214
43.56, 3.137
1-band sliding distance and 2-band sliding distance for each tension:
1.94, 4.12
4.62, 8.14
9.94, 17.32
18.12, 27.86
35.1, 43.56
Slope and vertical intercept of straight-line approximation to 2-band sliding distance vs. 1-band sliding distance, units of slope and vertical intercept, description of the graph and closeness to line, any indication of curvature:
1.1841, 3.6885
cm/cm, cm
The data points are relatively close to the best fit line. They are not as close to the line as the points in the previous graphs were. This graph may be slightly more curved. It is increasing at a decreasing rate and has downward concavity.
Discussion of two hypotheses: 1. The sliding distance is directly proportional to the amount of energy required to stretch the rubber band. 2. If two rubber bands are used the sliding distance is determined by the total amount of energy required to stretch them.
My results show that the sliding distance is proportional to the amount of energy required to stretch the rubber band. As the amount of energy increases, the sliding distance that results increases as well.
How long did it take you to complete this experiment?
I started this experiment at 7:15PM and I am finished at 11:00PM. It took me 3 hours and 45 minutes.
Optional additional comments and/or questions:
Your report has been received. We will be discussing this work as a group, after the due date.
Your work looks good, but think about the distance you used in calculating the energies.