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? **
1.2cm, -10deg
The first number is the distance the domino moved based on the first mark or after the rubber band released it. The second number is the number of degrees it rotated before coming to a stop.
** 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of two dominoes: **
1.3cm, -5deg
1.3cm, -5deg
1.5cm, -7deg
1.6cm, -5deg
1.3cm, -6deg
The first number in each line is the distance the dominoes traveled from the first mark which I measured with a ruler. The second is the number of degrees it rotated before coming to a stop which I measured with a protractor.
** Rubber band lengths resulting in 5 cm, 10 cm and 15 cm slides: **
8cm, 8.7cm, 8.9cm
These are the distances I had to pull the rubber back to get the dominoes to move 5cm, 10cm, and 15cm.
** 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of four dominoes: **
2.8cm, 0deg
2.3cm, -10deg
2.5cm, -7deg
2.4cm, -7deg
2.3cm, -2deg
The first number on each line is the distance the dominoes moved from the first mark, the second number is the number of degrees they rotated.
** 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of six dominoes: **
4.1cm, 0deg
3.7cm, -4deg
4.5cm, 3deg
4.4cm, -10deg
4.2cm, -12deg
The first number on each line is the distance the dominoes moved from the first mark, the second number is the number of degrees they rotated.
** 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of eight dominoes: **
5.6cm, -15deg
6.4cm, -10deg
5.8cm, -4deg
6.5cm, -2deg
6.9cm, -10deg
The first number on each line is the distance the dominoes moved from the first mark, the second number is the number of degrees they rotated.
** 5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of ten dominoes: **
9.2cm, 22deg
7.9cm, 15deg
8.5cm, 9.1deg
9.1cm, 8deg
8.5cm, 18deg
** 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: **
7.67cm, 2, 1.4cm, .1414, .00023J
7.87cm, 4, 2.46cm, .2074, .00137J
8.13cm, 6, 4.18cm, .3114, .00359J
8.4cm, 8, 6.24cm, .5319, .0072J
8.67cm, 10, 8.64cm, .5273, .0116J
The first number in each line is the length the rubber band was stretched. The second is the number of dominoes associated with the stretch. The third and forth are the mean and standard deviation of the sliding distances which I used the data program to calculate. The fifth is the energy of the pull in joules. to calculate it I calculated the area under the curve for the first two dominoes, for 4 dominoes I calculated the area under the curve between 2 and 4 dominoes and added it to the first result and so on. I used the formula .5(b1+b2)h where b1 and b2 were the force in newtons along the y axis and h was the change in displacement of the rubber band along the x axis.
** 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, -.0022
Slope is in kg m/s^2 or newtons, vertical intercept is in units of joules
It seems to have a slight curve that is increasing at an increasing rate.
** Lengths of first and second rubber band for (first-band) tensions supporting 2, 4, 6, 8 and 10 dominoes: **
.13, -.003
Slope is in kg m/s^2 or newtons, the vertical intercept is in newtons of joules
They don't deviate more than .01m or .0015J, the data points seem to indicate a curve that is increasing at an increasing rate.
** Mean sliding distance and std dev for each set of 5 trials, using 2 rubber bands in series: **
7.67cm, 7.67cm
7.87cm, 7.87cm
8.13cm, 8.13cm
8.4cm, 8.4cm
8.62cm, 8.8cm
** 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: **
2.76cm, .2191
4.9cm, .4123
8.62cm, .4087
13.7cm, .5244
18.64cm, .8849
** 1-band sliding distance and 2-band sliding distance for each tension: **
1.4cm, 2.76cm
2.46cm, 4.9cm
4.18cm, 8.62cm
6.24cm, 13.7cm
8.64cm, 18.64cm
** 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: **
.429, .57
The slope doesn't have any units the units of the y intercept are cm
The points on the line deviate no greater than half a centimeter and they seem to indicate a straight line.
** 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 think it supports it very strongly the final graph of 2 rubber band distance vs 1 rubber band distance had a slope close to .5 so what ever distance the 2 rubber band system launched the dominoes the 1 rubber band system would launch it half the distance.
2 rb dist vs. 1 rb dist would have 2 rb dist on the vertical axis and the slope would be 2, not .5. However your interpretation is otherwise correct, and well done.
** How long did it take you to complete this experiment? **
3.5hrs
** Optional additional comments and/or questions: **
Excellent work and excellent results.