course PHY 232
I know I was supposed to wait until I recieved a response from you before doing the experiment, but due to internet problems I wasn't able to submit my preliminary observations (or any assignment queries) until today. So I went ahead and did Experiment kinmodel_03 so I would at least have something in before the dead line.
Experiment kinmodel_03: Equipartition of energy and the direction of disorder to (increasing or decreasing)Observe the first several seconds of the simulation at the 'slow' default speed. You will see how the particles initially are all moving in or very close to the x direction, with little or no y component. Note the x and y kinetic energies, displayed near the top of the screen.
• Observe what happens to the directions of motion of the particles as they start colliding.
• Observe what happens to the x and y kinetic energies.
• Is the system more organized at the beginning of the simulation or after a couple of minutes?
• If the x and y kinetic energies were averaged for 100 years, starting a few minutes after the simulation began, which do you think would be greater?
Run the simulation in this manner several times, and each time determine how long it takes before the total y kinetic energy is first greater than the total x kinetic energy. Report your results.
As the particles start to collide the particles start to move in a more vertical motion.
The x and y kinetic energies stay around the same amount.
The system seems to become more organized as time goes by.
Just based on my observations it seems that the Y kinetic energy value seems to average slightly higher than the x kinetic energy value.
Now take some data:
• Running at the fastest default speed, stop the simulation with the pause/break key every few seconds, keeping your eyes closed for at least 2 seconds before stopping the motion.
• Write down the x and y kinetic energies each time.
• Do this at least 30 times.
• Find the average of all your x and all your y kinetic energies.
• Do you believe the difference in the averages is significant, in that the direction that has the higher average will always tend to have the higher average every time the simulation is run?
X Y
600.00 592.0
613.2 552.7
752.6 489.8
613.0 536.7
449.9 642.8
540.6 519.4
570.2 516.5
432.8 697.8
681.0 507.6
586.5 490.9
492.3 614.5
707.4 463.8
705.4 443.6
549.9 599.5
382.3 485.1
436.7 703.3
673.4 443.8
549.0 542.4
695.7 397.7
544.0 607.6
499.1 632.3
449.9 712.6
666.6 488.4
646.8 513.2
377.1 769.3
627.3 508.5
550.7 552.8
658.6 425.7
497.4 628.6
591.5 561.3
Avg. X = 571.35
Avg. Y = 554.67
I definitely do not believe that the difference is significant enough to say that the X will always have higher avg. energies. You can especially see insignificant difference in the raw data before the averages are taken.
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