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? **
5.9cm, 15degrees
These numbers are how far the dominoe traveled after being released and how many degrees it rotated before coming to rest.
** 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of two dominoes: **
10.6cm,10degrees
12.3cm,13degrees
10.7cm,15degrees
12.5cm,17degrees
13.1cm,20degrees
I pulled the tail back 13.4cm and then released it 5 times and measured the distances traveled and determined the degrees rotated.
** Rubber band lengths resulting in 5 cm, 10 cm and 15 cm slides: **
0cm, 9.8cm, 17.3cm
I could not get 5 cm, since my rubberband was stretched out more than 5cm, but for the 10 and 15cm I just stretched the rubberband out to that limit and then I marked where they landed and measured their distances traveled.
** 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of four dominoes: **
16.9cm, 20 degrees
17.4cm, 10degrees
18,2cm, 25degrees
19.0cm, 15degrees
17.8cm, 23degrees
The first number is after I strected it out to 23.40cm, I then released the tail and marked how far it traveled, and measured the mark, and then determined how far it had rotated.
** 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of six dominoes: **
22.00cm, 12degrees
22.40cm, 25degrees
20.6cm, 15degrees
21.3cm, 20degrees
21.6cm, 17degrees
The first number is after I strected it out to 23.80cm, I then released the tail and marked how far it traveled, and measured the mark, and then determined how far it had rotated
** 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of eight dominoes: **
30.4cm, 20degrees
32.4cm, 30degrees
32.2cm, 25degrees
31.3cm, 15degrees
33.3cm, 18degrees
The first number is after I strected it out to 24.20cm, I then released the tail and marked how far it traveled, and measured the mark, and then determined how far it had rotated
** 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of ten dominoes: **
39.7cm, 30degrees
42.3cm, 15degrees
41.8cm, 18degrees
42.6cm, 28degrees
42.7cm, 22degrees
The first number is after I strected it out to 24.50cm, I then released the tail and marked how far it traveled, and measured the mark, and then determined how far it had rotated
** 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: **
13.4cm, 2, 11.84cm, 1.126, .266N*cm
23.40cm, 4, 17.86cm, .7987, 2.12N*cm
23.80cm, 6, 21.58cm, .6870, 1.68N*cm
24.20cm, 8, 31.92cm, 1.108, 8.8N*cm
24.50cm, 10, 41.82cm, 1.236, 26.33N*cm
I obtained the energy by taking the orginial weight of dominoes held and how far the rubberband stretched, minus the mean of the distances travled, multipied by how much energy is exerted on each dominoe.
** 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: **
.307, 17.86
N, cm
closely cluster to the line although there is a curvature of some sorts
increasing at an increasing rate.
** Lengths of first and second rubber band for (first-band) tensions supporting 2, 4, 6, 8 and 10 dominoes: **
1.98, 24.85cm
cm, cm
cluster the line well
** Mean sliding distance and std dev for each set of 5 trials, using 2 rubber bands in series: **
13.4cm, 9.8cm
23.40cm,12.3cm
23.80cm,12.6cm
24.20cm,15.2cm
24.50cm, 15.3cm
** 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: **
16.58cm, .6870
25.85cm, 2.236
32.86cm, 1.126
44.3cm, .79
46.83cm, 1.109
** 1-band sliding distance and 2-band sliding distance for each tension: **
13.4cm, 16.58cm
23.40cm, 25.85cm
23.80cm, 32.86cm
24.20cm, 44.3cm
24.50cm, 46.83cm
** 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: **
.927, 25.85
cm, cm
clustered the line well
** 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 some extent that the sliding distance is directly proportional to the amount of energy required to stretch the rubber band and that if two rubber bands are used the sliding distance is determined by the total amount of energy required to stretch them because the rubberbands had to have a sufficient amount of energy to make them move and with the two rubberbands they had to have more energy to make them move.
** How long did it take you to complete this experiment? **
2 hours
** Optional additional comments and/or questions: **
You've done excellent work on this experiment. I cannot find a flaw in your data or in your analysis.
The experiment itself has very significant uncertainties due to the nature of rubber bands and friction, and you have no control over these factors. However even using this equipment we find indications of the following:
The energy in the rubber band is roughly proportional to the square of the stretch.
The distance the rubber band slides is roughly proportional to the energy.
The energy lost to friction appears to be proportional to the potential energy of the ruber bands.
Keep up the great work.