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Phy 121
Your 'ball down ramp' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
#$&* Your general comment **
#$&* Will a steeper ramp give greater or lesser time? **
A ball is timed as it rolls from rest to the end of a ramp. The slope of the ramp is varied. Preliminary conclusions are
drawn about the motion and the effect of ramp slope. A subsequent lab exercise uses the data from this lab to reach
additional conclusions.
Most students report completion times between 45 minutes and 75 minutes hour, with a few reporting times as short as 25
minutes or as long as 2 hours. Median time of completion is around 1 hour.
Timing Ball down Ramp
The picture below shows a ball near the end of a grooved steel track (this steel track is a piece of 'shelf standard'); the
shelf standard is supported by a stack of two dominoes. Your lab materials package contains two pieces of shelf standard;
the shelf standard shown in the figure is white, but the one in your kit might be colored black, gold, silver or any of a
variety of other colors.
If a ball rolls from an initial state of rest down three ramps with different slopes, the same distance along the ramp each
time, do you think the time required to roll the length of the ramp will be greatest or least for the steepest ramp, or will
the interval on the steepest ramp be neither the greatest nor the least? Explain why you think you have correctly predicted
the behavior of the system.
Your answer (start in the next line):
The time will be least for the steepest ramp.The velocity will be greater on the steepest ramp so the time required will be
less.
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If we write down the slopes from least to greatest, next to the time intervals observed for those slopes, would you expect
the time intervals to be increasing or decreasing, or do you think there would be no clear pattern? Explain why you think
you have correctly described the behavior of the numbers in the table.
Your answer (start in the next line):
The time intervals will decrease because the velocity will be greater so it will take less time for the steeper ramp.
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Set up the shelf standard ramp on a reasonably level table, using a piece of 30-cm shelf standard and a single domino under
the high end of the ramp. Position the dominoes so that the last .5 cm of the ramp extends beyond the point where the ramp
contacts the domino,.and do the same in all subsequent setups.
Set the bracket on the table, touching the lower end of the ramp so that a ball rolling down the ramp will strike the
bracket..
Mark a point about 3 cm below the top end of the ramp. Place a domino on the ramp to its high end is at this point, and
place the ball just above the domino, so the domino is holding it back. Quickly pull the domino away from the ball so the
ball begins to roll freely down the ramp. Allow the ball to roll until it strikes the bracket.
The bracket will probably move a little bit. Reset it at the end of the ramp.
Determine how far the ball rolled from release until it struck the bracket.
Now repeat, but this time use the TIMER. The first click will occur at the instant you release the ball, the second at the
instant the ball strikes the bracket. Practice until you are as sure as you can be that you are clicking and pulling back
the domino at the same instant, and that your second click is simultaneous with the ball striking the bracket.
When you are ready, do 5 trials 'for real' and record your time intervals.
Then reverse the system--without otherwise changing the position of the ramp, place the domino under the left end and
position the bracket at the right end.
Time 5 trials with the ramp in this position.
In the space below, give the time interval for each trial, rounded to the nearest .001 second. Give 1 trial on each line, so
that you will have a total of 10 lines, the first 5 lines for the first system, then 5 lines for the second system.
Beginning in 11th line give a short narrative description of what your data means and how it was collected.
Also describe what you were thinking, relevant to physics and the experiment, during the process of setting up the system and
performing the trials.
Your answer (start in the next line)
1.938
1.922
1.984
1.969
1.859
2.047
2.031
2.188
2.141
2.078
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Now place two dominoes under the right end and repeat the process, obtaining the time interval for each of 5 trials.
Then place the two dominoes under the left end and repeat once more.
Enter your 10 time intervals using the same format as before.
Your answer (start in the next line):
1.375
1.328
1.344
1.313
1.375
1.422
1.406
1.453
1.359
1.469
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Repeat the preceding using 3 dominoes instead of 2. Enter your 10 time intervals using the same format as before.
Your answer (start in the next line):
1.125
1.047
1.141
1.141
1.109
1.156
1.094
1.188
1.141
1.063
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Repeat the preceding again, still using the 3 domino setup, but this time place a CD or a DVD disk (or something of roughly
similar thickness) on the 'low' end of the ramp. You need time only 5 intervals, but if you prefer you may use 10. Enter
your 5 (or 10) time intervals using the same format as before.
Your answer (start in the next line):
1.219
1.156
1.188
1.172
1.188
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Repeat the preceding one last time, still using the 3 domino setup, but remove the disk and replace it with a piece of paper.
You need time only 5 intervals, but if you prefer you may use 10. Enter your 5 (or 10) time intervals using the same format
as before.
Your answer (start in the next line):
1.203
1.125
1.141
1.172
1.203
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Do your results support or fail to support the hypotheses you stated in the first two questions, regarding the relationship
between time intervals and slopes? Explain.
Your answer (start in the next line):
The time intervals decrease as the the slope of the ramp increases so the data supports the hypotheses.
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How do you think the average velocity of the ball is related to the slope of the ramp? Explain in as much detail as possible.
Your answer (start in the next line):
Since the length of the ramp remains the same, the velocity increases as the slope of the ramp increases.
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Speculate on what it is that causes the average velocity on these ramps to change with slope.
Your answer (start in the next line):
The time interval decreases as the slope increases so the velocity also increase.
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How might you verify whether your speculations are indeed valid explanations?
Your answer (start in the next line):
Calculate the average velocities by using vAve='ds/'dt
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Do your data conclusively show that the disk made a difference?
Your answer (start in the next line):
yes, the difference,on average,is .057sec.
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Do your data conclusively show that the piece of paper made a difference?
Your answer (start in the next line):
Yes,the difference, on average, is .41sec.
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Imagine that someone is placing different objects below the 'low' end of the ramp, and you are timing the ball. Assume that
somehow the object placed below the 'low' end is hidden from you in a way that does not interfere with the timing process.
Compared to the thickness of the DVD, how thin would the object have to be before you would be unable, using the TIMER, to
observe a difference in times down the ramp?
Answer this question in the first line below. Express your answer in multiples or fractions of the thickness of a disk.
Starting in the second line, explain how you came to your conclusion, based on the results you obtained in this experiment.
Also discuss how you could modify or refine the experiment, still using the TIMER, to distinguish the effect of the thinnest
possible object placed under the 'low end.
Your answer (start in the next line):
.1 of the thickness of a CD should show up i9n the times.The paper made enough difference to conclude that.
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Had you placed the disk below the 'low' end of the ramp in a 1-domino setup, do you think the difference in times would have
been greater or less? Do you think you would be better able distinguish the presence of a thinner object using the 1-domino
setup, or the 3-domino setup? Explain your reasoning below:
Your answer (start in the next line):
Yes, but not very much.
I think the presence of a thinner object under the 1-domino setup would be easiest to notice because the velocity is already
less than the 3-domino setup.
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Does the ball's velocity change more or less quickly with the 3-domino setup or the 1-domino setup? Explain as best you can
how you could use your results to support your answer.
Your answer (start in the next line):
It changes quicker with the 3-domino setup. This can be supported by calculating the acceleration.
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Your instructor is trying to gauge the typical time spent by students on these experiments. Please answer the following
question as accurately as you can, understanding that your answer will be used only for the stated purpose and has no bearing
on your grades:
Approximately how long did it take you to complete this experiment?
Your answer (start in the next line):
2 hours
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*#&!
@& Very well done. However looking at the data
1.125
1.047
1.141
1.141
1.109
1.156
1.094
1.188
1.141
1.063
for the 3 dominoes,
1.219
1.156
1.188
1.172
1.188
for 3 dominoes plus a DVD,
and
1.203
1.125
1.141
1.172
1.203
for 3 dominoes plus a piece of paper,
I'm not sure I see a clear and reliable difference, especially between the last two. The time intervals seems to vary by +-.05 second from the mean, and without a larger data set it would be difficult to establish the result.
So it might be safe to say that the data are suggestive, and certainly merit a closer study of the system, but that they are inconclusive at this point.
*@