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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?
6.5, 10
5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of two dominoes:
5.1, 10
6.2, 5
5.7, 0
5.3, 10
4.9, 15
Rubber band lengths resulting in 5 cm, 10 cm and 15 cm slides:
7.5, 8.2, 8.6
5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of four dominoes:
7.3, 5
7.5, 10
6.5, 10
7.2, 10
6.8, 10
5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of six dominoes:
10.3, 15
8.3, 5
7.9, 5
10.7, 5
10.1, 10
5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of eight dominoes:
11.3, 10
10.9, 10
11.4, 10
12.8, 10
11.0, 10
5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of ten dominoes:
15.5, 15
16.8, 15
17.2, 10
17.1, 15
16.5, 10
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:
7.68, 2, 5.44, .5177, .01
7.72, 4, 7.06, .4037, unknown
8.13, 6, 9.46, 1.268, .098
8.25, 8, 11.48, .7662, unknown
8.62, 10, 16.62, .6834, .236
It isn't clear how you are getting the energies you report here. Can you send me a copy of the following and the details of your energy calculation?
Note that the energy required to stretch the rubber band is equal to the average force exerted by the rubber band force, from the length at which the rubber band first starts exerting a force to the length of the stretch. This average force applies only over the distance through which the rubber band exerts its force, i.e., over the distance between these two positions.
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:
7.68, 2, 5.44, .5177, .01
7.72, 4, 7.06, .4037, unknown
8.13, 6, 9.46, 1.268, .098
8.25, 8, 11.48, .7662, unknown
8.62, 10, 16.62, .6834, .236
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:
48.8, 5
N*cm, cm
My data points cluster relatively closely together but they indicate slight curvature.
It seems to indicate upward concavity.
Lengths of first and second rubber band for (first-band) tensions supporting 2, 4, 6, 8 and 10 dominoes:
65.9, 2
N*cm, cm
They cluster relatively closely together. The graph appears to have a concave curve.
Mean sliding distance and std dev for each set of 5 trials, using 2 rubber bands in series:
7.68, 7.4
7.72, 7.6
8.13, 8.0
8.25, 8.3,
8.62, 8.7
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:
7.33, .1528
8.8, .2
17.93, .6028
24.13, 1.097
37.67, 2.255
1-band sliding distance and 2-band sliding distance for each tension:
5.44, 7.44
7.06, 8.8
9.46, 17.93
11.48, 24.13
16.62, 37.67
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:
3, -10
this slope is unitless, the y intercept is in cm.
These data points are making a significantly more concave curve than the other graphs,
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 graphs do not support this hypothesis.
How long did it take you to complete this experiment?
3 1/2 hours
Optional additional comments and/or questions:
There might be errors in your calculation of energy. I've asked for a clarification. See my note above.
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