Phy 201
Your 'energy conversion 1' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** Your optional message or comment: **
** 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? **
5.7, 0
** 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of two dominoes: **
5.7, 0
5.15, 0
6.5, 5
5.4, 5
5.9, 0
Each of these numbers shows the distance traveled as a result of the tensional force in the string. I measured the initial mark to the mark that the middle of the domino wound up. There was little rotation, the most was maybe 5 degrees.
** Rubber band lengths resulting in 5 cm, 10 cm and 15 cm slides: **
7.5, 8.3, 8.6
NA
These numbers are the lengths using the normal ruler that caused the block to move 5, 10, and 15 cm with a normal ruler.
** 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of four dominoes: **
6.9, 0
7.5, 0
8.0, 5
7.9, 5
8.2, 0
This is the distance traveled due to the tensional force equal to that of 4 dominoes
** 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of six dominoes: **
10.5, 0
9.9, 5
10.4, 10
10.8, 0
9.4, 0
These results are the distances traveled based off the tensional force equal to that of 6 dominoes.
** 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of eight dominoes: **
14.9, 0
14.4, 5
14.5, 0
13.0, 5
14.5, 10
These results are the distances traveled based off the tensional force equal to that of 8 dominoes.
** 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of ten dominoes: **
22.0, 15
23.0, 10
23.3, 5
22.8, 10
23.2, 10
This is the distance traveled as a result of the tensional force equal to that of 10 rubber bands.
** 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: **
7.5, 2, 5.73, .5167, 1.11
7.6, 4, 7.7, .5148, 2.93
7.8, 6, 10.2, .5523, 7.75
8.0, 8, 14.26, .7301, 16.26
8.2, 10, 22.86, .5177, 34.74
N*cm, I got the energy associated with each stretch by using the Newtons I found was associated with each domino in the previous exercise calibration of rubber bands. This was, in order, .19N, .38N, .76N, 1.14N, and 1.52N.
** 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: **
0.6, 6
cm/(N*cm), cm
The data points are not super close to the line, but they cancel each other out. It seems that they indicate curvature.
The curvature indicate downward concavity in that it increases at a decreasing rate.
** Lengths of first and second rubber band for (first-band) tensions supporting 2, 4, 6, 8 and 10 dominoes: **
8, 0.8
cm, cm/(N*cm)
They sort of cluster but again curvature is indicated.
The curvature has negative concavity and is increasing at a decreasing rate.
** Mean sliding distance and std dev for each set of 5 trials, using 2 rubber bands in series: **
7.5, 7.5
7.6, 7.7
7.8, 7.9
8.0, 8.0
8.2, 8.3
** 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: **
7.14, .2608
9.88, .3194
13.22, .3493
17.56, .3049
21.66, .1949
** 1-band sliding distance and 2-band sliding distance for each tension: **
5.73, 7.14
7.7, 9.88
10.2, 13.22
14.26, 17.56
22.86, 21.66
** 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: **
0.5, 3
NA, cm
The data points are pretty clustered, there appears to be no curvature.
** 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 believe that the first half of this hypothesis is somewhat supported, it should suggest that the increase is at a decreasing rate however. The second part is also somewhat supported because each of the two rubber band distances were slightly higher then those of the one rubber band.
** How long did it take you to complete this experiment? **
2 hours
** Optional additional comments and/or questions: **
&#Very good responses. Let me know if you have questions. &#