course Phy 202
Prof SmithI realize I should not have waited until Saturday to do the KINMODEL experiment. I have gone ahead and done #3 as you said would be the most likely for us to do. This way I am not late. It is my fault and if you would prefer I do a different KINMODEL experiment I will gladly do so.
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Prof SmithI realize I should not have waited until Saturday to do the KINMODEL experiment. I have gone ahead and done #3 as you said would be the most likely for us to do. This way I am not late. It is my fault and if you would prefer I do a different KINMODEL experiment I will gladly do so." "***As the particles collide they push away in opposite directions. After this point the directions in which they proceed is random. The only consistent direction the particles go is with the yellow and green particles. They switch pos
***The x and y kinectic energies seem to increase and then reach a peak. Once this peak is reached the energies start back at a lower number.
***As time goes on the energies get higher but they eventually fall back down. The system seems more organized initially when the kinetic energy for x is high and y is with its average speeds.
***If the x and y were averaged over 100 years the x would be higher. Y seems consistent in a continuous data set. X sometimes spikes higher than y. The spikes would outweigh the y.
***It takes approximately 30 seconds for the total y kinetic energy to be greater than x. This is approximate because when I used the timer program or any other clock time on the computer I had to alt tab out of the kinmodel. It took up my whole screen, but I believe 30 seconds is fairly accurate.
---> The first column reported is the KEx and the second is KEy.
359.1 486.2
386.9 464.3
553.8 308.2
576.6 474.1
507.1 351.5
371.0 476.8
592.6 287.3
480.4 345.2
452.0 373.6
520.2 320.9
534.9 324.7
514.4 323.3
370.1 500.7
410.0 468.0
331.3 529.2
371.5 499.6
537.4 330.9
476.9 382.9
550.4 312.7
295.0 579.3
476.4 405.6
502.8 350.2
452.1 395.0
396.4 472.3
395.7 453.2
436.9 423.4
395.8 463.2
348.6 472.3
381.9 461.0
491.7 309.9
That was the result of timing the x and y quantities at approximately 2+ time intervals. I did this thirty times. It took much longer than 1 minutes (60 seconds) because I had to pause the program and write down the answers.
The average for KEx is 448.99.
The average for KEy is 411.53.
The KEx will probably always have the higher average kinetic energy. The kinetic energy of y is not far behind x. It is usually smaller than the energy of x, but there are seldom times when y is greater. This could throw off an average.
"
Good work.
Consider the following:
Suppose the monitor was perfectly square, with only the image of the simulation showing, and if you could see only the face of the monitor. If someone rotated the monitor 90 degrees, so the x and y directions were reversed, would the y direction still have the greater average velocity after a long period of time?
Someone might say that it would because the initial velocities were still in the x direction. It's beyond the scope of this course to work out the probabilities, but the probabilities do show that after each particle has had a certain number of collisions (that number isn't easy to work out and depends on the size, speed and density of the particles, but for the given simulation it's well under 100), the probability of its y energy being greater than its x energy is so close to 50-50 that the difference in the mathematical expectation of energies is less than the smallest quantum of energy available to those molecules.
It turns out that the difference in your means is much than the standard deviation of the mean and does not indicate any significant difference. If you have had a decent statistics class you will understand this statement; if you haven't then you might not.
In either case, at least tentatively take my word for it for now, with the understanding that with more advanced work you'll be able to check it all out for yourself.