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? **
3.75, 0
The first number above indicates the distance that the dominoes traveled in cm. The dominoes did not rotate.
** #$&* 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of two dominoes: **
3.55, 0
3.7, 0
3.9, 10
4.2, 10
4.2, 10
** #$&* Rubber band lengths resulting in 5 cm, 10 cm and 15 cm slides: **
7.25, 8.26, 8.75
The numbers above are the lengths of the rubber band that caused the dominoes to slide 5, 10, and 15 cm .
** #$&* 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of four dominoes: **
8.45, 15
8.85, 15
8.9,15
9.7, 20
10.1, 5
The results above indicate the distances in cm and rotation angle in degrees for the tension of 4 dominoes.
** #$&* 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of six dominoes: **
11.65, 15
11.9, 10
11.9, 10
12.3, 15
12.7, 15
The results above indicate the distances in cm and rotation angle in degrees for the tension of 6 dominoes.
** #$&* 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of eight dominoes: **
13.7, 10
14.0, 10
14.0, 15
14.5, 10
14.8, 15
The results above indicate the distances in cm and rotation angle in degrees for the tension of 8 dominoes.
** #$&* 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of ten dominoes: **
16.5, 10
16.85, 15
17.25, 10
17.55, 10
18.0, 15
The results above indicate the distances in cm and rotation angle in degrees for the tension of 10 dominoes.
** #$&* Rubber band length, the number of dominoes supported at this length, the mean and the standard deviation of the sliding distance in cm, and the energy associated with the stretch, for each set of 5 trials: **
7.20, 2, 3.91, .29, .04
7.57, 4, 9.2, .67, .25
7.60, 6, 12.09, .41, .28
7.85, 8, 14.2, .44, .48
8.00, 10, 17.23, .60, .74
The units for the energy are in Newton*cm. The results above were obtained by finding the mean and standard deviation for each set of trials using the data program. The energy results were obtained from the values calculated in the previous experiment. The energy for each trial was used for each length and add the previous energy from the previous length for each successive length.
** #$&* 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: **
18.4, 4.8
The units for the slope are cm/N*cm = N. Vertical intercept is cm.
cm / (N * cm) = 1/N.
The data points are fairly close. The graph is not a straight line it does indicate curvature. The curvature is a downward concavity.
** #$&* Lengths of first and second rubber band for (first-band) tensions supporting 2, 4, 6, 8 and 10 dominoes: **
9.2, 5.4
Slope = cm/N*cm = N, Vertical Intercept = cm
The data points are close to the straight line, but do indicate curvature. The curvature is a downward concavity.
** #$&* Mean sliding distance and std dev for each set of 5 trials, using 2 rubber bands in series: **
7.20, 7.55
7.57, 7.90
7.60, 8.20
7.85, 8.65
8.00, 8.75
** #$&* Slope and vertical intercept of straight-line approximation to sliding distance vs. energy, units of slope and vertical intercept, description of the graph and closeness to line, any indication of curvature: **
4.58, .15
9.8, .25
12.56, .36
15.04, .38
17.76, .50
** 1-band sliding distance and 2-band sliding distance for each tension: **
3.91, 4.58
9.2, 9.8
12.09, 12.56
14.2, 15.04
17.23, 17.76
** #$&* 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, .6
slope = cm/cm = no units, vertical intercept = cm
The data points fit on the line. The graph is linear.
** #$&* Discussion of two hypotheses: 1. The sliding distance is directly proportional to the amount of energy required to stretch the rubber band. 2. If two rubber bands are used the sliding distance is determined by the total amount of energy required to stretch them. **
The experiment supports the hypotheses, because the sliding distance does increase as the energy increases. The hypotheses is also supported for two rubber bands because the sliding distance did increase when two rubber bands were used and this supports the hypotheses because the energy also increased.I am not sure if my results would indicate a direct proportionality, but the sliding distance does increase with an increase in energy.
** #$&* 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.