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?
1.25cm, 0
5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of two dominoes:
1.25cm, 0
1.05cm, 0
1.1cm, 0
1.23cm, 0
1.25cm, 0
Rubber band lengths resulting in 5 cm, 10 cm and 15 cm slides:
8.4cm, 8.8cm, 9.2cm
5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of four dominoes:
3.92, 0
4.25, 0
4.46, 0
4.52, 0
4.65, 0
5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of six dominoes:
7.6, 2
8.3, 2
8.75, 2
9.05, 5
9.1, 5
5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of eight dominoes:
17.15, 3
17.3, 4
17.8, 5
17.9,2
18.6, 5
5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of ten dominoes:
27.25, 7
28.3, 0
29.65, 28
29.75, 9
30.7, 15
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:
7.89, 2, 1.176, 0.09423, 0.12N cm
8.35, 4, 4.36, 0.2852, 2.18N cm
8.53, 6, 8.56, 0.6239, 8.56N cm
9.12, 8, 17.75, 0.5723, 33.7N cm
9.68, 9, 29.13, 1.355, 72.8N cm
** The weight of a domino, whose mass is around 20 grams, is about .2 Newtons (this is just a ballpark estimate; you have more accurate figures in your calibration results). So for example the energy associated with the interval from 8.53 to 9.12 cm would be the .59 cm distance, multiplied by the approximate weight of 7 dominoes--about 1.4 N. The result would be around .8 N*cm.
The energy associated with the stretch of the rubber band is the total energy required to stretch the rubber band to that length. For example when the rubber band 'snaps back' from the 9.12 cm length, it exerts force all the way back to its original unstretched length. So the energy would be the sum of all the energies calculated over all four of the increments up through this length.
Please correct these energies, the submit only this question and the next in response. Just copy this question and the next, along with this note, and insert your corrected response.
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:
2.6681, -9.0661
N, N * cm
not close, curvature
increasing at an increasing rate
Lengths of first and second rubber band for (first-band) tensions supporting 2, 4, 6, 8 and 10 dominoes:
3.7806, -26.235
N, N * cm
not close, curvature
increasing at an increasing rate
Mean sliding distance and std dev for each set of 5 trials, using 2 rubber bands in series:
7.89, 7.45
8.35, 7.95
8.53, 8.15
9.12, 8.65
9.68, 9.3
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:
2.48, 0.1037
7.59, 0.6299
12.73, 0.6969
24.79, 1.512
42.11, 1.043
1-band sliding distance and 2-band sliding distance for each tension:
1.176, 2.48
4.36, 7.59
8.56, 12.73
17.75, 24.79
29.13, 42.11
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:
1.3973, 0.8996
slope has no unit, cm
close, straight line
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.
it supports it fairly well
How long did it take you to complete this experiment?
4hrs approx
Optional additional comments and/or questions:
Good results overall; please send me a correction according to the note with that request.
According to your last graph the slope was nearly 2, indicating that 2 rubber bands give you about twice the energy you get from 1. Since two rubber bands stretched to the same length would be expected to store about twice as much energy, this supports the hypothesis that sliding distance is determined by the total amount of energy.