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?
.9, 0
5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of two dominoes:
1.2, 15
1.3, 0
1.2, 15
1.1, 15
1.4, 0
Rubber band lengths resulting in 5 cm, 10 cm and 15 cm slides:
9.7, 10.9
15cm was not possible
5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of four dominoes:
3.2, 0
3.0, 15
5.1, 20
4.7, 20
4.7, 20
5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of six dominoes:
3.9, 20
5.8, 20
6.1, 20
5.4, 20
3.9, 20
5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of eight dominoes:
5.6, 15
5.6, 15
5.0, 0
5.5, 0
6.6, 15
5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of ten dominoes:
6.0, 0
9.3, 15
6.0, 15
4.2, 0
6.0, 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:
8.71, 4, 4.32, .7629, 6.6196
8.99, 6, 4.84, 1.332, 10.2486
9.22, 8, 5.54, .6542, 14.5676
9.48, 10, 6.3, 1.849, 18.012
Newton*cm
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:
8.71, 4, 4.32, .7629, 6.6196
8.99, 6, 4.84, 1.332, 10.2486
9.22, 8, 5.54, .6542, 14.5676
9.48, 10, 6.3, 1.849, 18.012
Newton*cm
Can you send me a correction of this information, if necessary, and an outline of how this changes the rest of your analysis? Alternatively you can just submit the form again, starting from this point.
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:
.5166, 8.1
Newtons, 8.1
my points are very close to the best-fit line and indicate a straight-line relationship.
Lengths of first and second rubber band for (first-band) tensions supporting 2, 4, 6, 8 and 10 dominoes:
What are we supposed to be graphing?
Mean sliding distance and std dev for each set of 5 trials, using 2 rubber bands in series:
8.5, 8.4
8.58, 8.5
8.71, 9.1
8.99, 9.6
9.48, 9.8
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:
.32, 0.08367
2.18, .7396
4.3, 1.245
10.64, 1.764
20.52, 2.266
1-band sliding distance and 2-band sliding distance for each tension:
1.29, .32
4.32, 2.18
4.84, 4.3
5.54, 10.64
6.3, 20.52
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:
3.25, .5
my points cluster closely about the line and create a curvature.
the curvature indicates upward 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.
I'm not sure what to think. My first graph was linear and my second appeared quadratic.
How long did it take you to complete this experiment?
3 hours 20 minutes
Optional additional comments and/or questions:
I think there's an error in your calculation of energy. I've asked for a clarification. See my note above.