energy conversion 1

Your work on energy conversion 1 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?

.8cm,.00288J

5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of two dominoes:

1.9,.00722

1.6,.00608

1.4,.00532

1.4,.00532

1.3,.00494

Rubber band lengths resulting in 5 cm, 10 cm and 15 cm slides:

9.7,10,10.9

5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of four dominoes:

1.4,.01064

1.4,.01064

1.3,.00988

1.2,.00912

1.1,.00836

5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of six dominoes:

2,.0228

1.9,.02166

1.9,.02166

1.8,.02052

1.8,.02052

5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of eight dominoes:

5.8,.08816

7,.1064

5.6,.08512

6.7,.10184

5.5,.0836

5 trials, distance in cm then rotation in degrees, with rubber band tension equal to the weight of ten dominoes:

10.5,.1995

10.5,.1995

8.6,.1634

7.5,.1425

9.4,.1786

It looks like you are calculating the work in Joules for each system, rather than reporting the estimated rotation of the block.

The rotation of the block can dissipate energy that is not reflected in the sliding distance; however the effect is generally very small and won't have a lot of influence on your results.

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:

8.6,2,1.52,.2387,.38

9,4,1.28,.1304,.76

9.6,6,1.88,.0837,1.14

9.9,8,6.12,.6834,1.52

10.5,10,9.3,1.286,1.9

I believe you calculated the energies earlier (ave force * displacement); here you appear to be reporting forces rather than energies.

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:

.95,.38

Newtons, cm

fairly linear

Lengths of first and second rubber band for (first-band) tensions supporting 2, 4, 6, 8 and 10 dominoes:

1.27,.76

cm, N

there is a curvature to the graph but it is hard to say which way it concaves. There are points on either side of the line. A guess would be upward concavity.

Mean sliding distance and std dev for each set of 5 trials, using 2 rubber bands in series:

8.6,8.5

9,8.6

9.6,9.1

9.9,9.3

10.5,10.8

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:

1.84,.055

3.88,.303

8.72,.228

13.72,1.729

23.94,1.588

1-band sliding distance and 2-band sliding distance for each tension:

1.52,1.84

1.28,3.88

1.88,8.72

6.12,13.72

9.3,23.94

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:

13.44,2.34

cm,cm

it is increasing at an increasing rate.

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.

This experiment shows the more force or energy used to stretch the band, the greater the distance the dominoes slide.

How long did it take you to complete this experiment?

about 5 hours. I am not doing well at understanding the set up procedures and it takes me awhile.

Optional additional comments and/or questions:

I am not sure about the y intercept for the last graph.

I believe you have actually done the energy calculations, but reported them as rotations; then when asked for energy you reported force. Your analysis after that point was not based on the correct information, but should be fairly easy to modify.

Please submit this lab once more, starting at the point where you reported force rather than energy, and when you do be sure to put a note at the beginning telling me to find your original submission in the 0704 file. A copy of this note would work just fine.

Once you get the meanings of your calculations straight, I believe it will be very helpful to you in understanding the concept of work-energy.