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.

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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,.5776

9,4,1.28,.1304,.9728

9.6,6,1.88,.0837,2.1432

9.9,8,6.12,.6834,9.3024

10.5,10,9.3,1.286,17.67

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:

.47,.824

N * cm, cm

fairly linear

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

.35,1.4

cm,N*cm

there is some curvature

upward concavity, increasing at an increasing rate

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:

2.7,-2.8

cm,cm

there is definite curvature.

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.

It does follow this hypothesis. The greater the amound of energy required, the greater the distance the block slides.

How long did it take you to complete this experiment?

Optional additional comments and/or questions:

Am I along the right track now?

Most of your results look very good, but I'm not sure abou the calculation of the energies.

Send me a copy of the following, and your answers to the questions:

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,.5776

9,4,1.28,.1304,.9728

9.6,6,1.88,.0837,2.1432

9.9,8,6.12,.6834,9.3024

10.5,10,9.3,1.286,17.67

For each of your five lines of data:

What average force was exerted by the rubber band, and how did you determine this?

Through what distance did the rubber band exert its force?

What therefore is the product of the average force and the distance through which this force was exerted?