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? **
4.35 cm, 0
The block of three dominoes moved 4.35 cm after being released. The block slid straight, since I had the string centered, and ended up in the same orientation as it started.
** 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of two dominoes: **
7.48 cm, 0
7.51 cm, 0
6.72 cm, 0
6.56 cm, 0
6.63 cm, 0
The results for 5 trials of sliding dominoes under a force of .38 N using rubber band number 1. The pull distance was 7.91 cm.
** Rubber band lengths resulting in 5 cm, 10 cm and 15 cm slides: **
7.72 cm, 8.50 cm, 9.00 cm
The distances in the first line yielded resulting slides of 5.26 cm, 9.55 cm, and 16.45 cm respectively.
** 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of four dominoes: **
9.21 cm, 0
8.31 cm, 0
8.39 cm, 0
8.54 cm, 0
8.79 cm, 0
The results for 5 trials of sliding dominoes under a force of .76 N using rubber band number 1. The pull distance was 8.18 cm.
** 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of six dominoes: **
7.08 cm, 0
7.23 cm, 0
7.43 cm, 0
7.48 cm, 0
7.60 cm, 0
The results for 5 trials of sliding dominoes under a force of 1.14 N using rubber band number 1. The pull distance was 8.30 cm.
** 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of eight dominoes: **
8.31 cm, 0
9.52 cm, 0
9.53 cm, 0
9.53 cm, 0
9.84 cm, 0
The results for 5 trials of sliding dominoes under a force of 1.52 N using rubber band number 1. The pull distance was 8.50 cm.
** 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of ten dominoes: **
9.61 cm, 0
10.05 cm, 0
10.63 cm, 0
10.64 cm, 0
10.29 cm, 0
The results for 5 trials of sliding dominoes under a force of 1.71 N using rubber band number 1. The pull distance was 8.51 cm.
** 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: **
7.91 cm, 2, 6.98 cm, .4737 cm, .030058 J
8.18 cm, 4, 8.65 cm, .3635 cm, .06217 J
8.30 cm, 6, 7.364 cm, .2074 cm, .09462 J
8.50 cm, 8, 9.346 cm, .5948 cm, .1292 J
8.51 cm, 9, 10.24 cm, .4323 cm, .1455 J
Each line above consists of band distance in cm, number of dominoes held at that distance, mean bundle slide distance in cm, standard deviation from the mean, and energy in Joules calculated by multiplying the rubber band pullback distance by the force in N that the rubber band could support at that distance.
** 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: **
31.25, 6.05
Slope and vertical intercept are generally unitless, but they were derived from Joules divided by cm.
The data points vary somewhat from the line, but generally adhere to a straight path, and deviate evenly on both sides of the line. There doesn't seem to be a curvature.
** Lengths of first and second rubber band for (first-band) tensions supporting 2, 4, 6, 8 and 10 dominoes: **
69.58, 4.47
The data points are fairly close to the line, certainly they cluster more closely than the previous data set. The line appears to again be straight, there is no indication of curvature
** Mean sliding distance and std dev for each set of 5 trials, using 2 rubber bands in series: **
7.91 cm, 8.05 cm
8.18 cm, 8.10 cm
8.30 cm, 8.13 cm
8.50 cm, 8.30 cm
8.51 cm, 8.40 cm
Numbers above represent band lengths for each domino amount: 2, 4, 6, 8, 9 (note only nine dominoes were used in previous experiment)
** 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: **
7.374 cm, .6192 cm
14.84 cm, .6386 cm
18.00 cm, .6974 cm
21.54 cm, .3454 cm
24.81 cm, .7884 cm
** 1-band sliding distance and 2-band sliding distance for each tension: **
6.98, 7.374
8.65, 14.84
7.364, 18.00
9.346, 21.54
10.24, 24.81
Slide distances in cm for 1 band vs 2 band pulls of force value equal to 2, 4, 6, 8, 9 dominoes.
** 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: **
4.2, -18
The units in this case would be distance/distance as the data on each point is in cm traveled.
Most of the data points cluster closely on the line, but the second data point is far from the line. There doesn't seem to be any curvature, even though the data points are somewhat choppy overall.
** 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 results do show that the hypothesis is correct. The relationship seems to be very proportional across all of the results (with only a few outlying data points) and doesn't show the ratios changing in any non-linear way.
** How long did it take you to complete this experiment? **
~4 hours over two days
** Optional additional comments and/or questions: **
Good results, good analysis.
&#Let me know if you have questions. &#