Phy 201
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 30 minutes and 1 hour, with a few reporting times as short as 15 minutes or as long as 2 hours. Median time of completion is around 45 minutes.
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.
The time required to roll the length of the steepest ramp will be least. This is because the steeper the ramp the more acceleration and velocity the ball can get, traveling the length of the ramp the fastest.
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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.
If the slopes are written from least to greatest, the time intervals would be increasing and getting shorter with each slope. This is because the as the slope increases, the velocity and acceleration of the ball will increase, making the ball travel down the slope faster with each incline so the intervals will increase and become faster.
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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.
2.43
2.20
2.65
1.92
1.96
1.70
2.48
1.98
1.82
1.96
This data shows the ball took roughly between 1.70 seconds and 2.65 to make it down the ramp with one domino. The left sided system had faster times. This was collected using the TIMER program, with starting the timer as the ball was released and hitting it again when the ball contacted the bracket. I was thinking that these would be the slowest times out of all the trials because this was the ramp with the smallest incline so the velocity and acceleration would be slowest.
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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.
1.48
1.51
1.62
1.71
1.56
1.10
1.10
1.20
1.06
1.14
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Repeat the preceding using 3 dominoes instead of 2. Enter your 10 time intervals using the same format as before.
1.00
1.00
1.03
1.04
1.07
.937
.890
.906
.875
.906
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Do your results support fail to support the hypotheses you stated in the first two questions, regarding the relationship between time intervals and slopes? Explain.
My results supported my hypothesis stated in the first two questions regarding the relationship between time intervals and slopes. The time intervals got shorter and faster and the slope increased.
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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.
The average velocity is related to the slope of the ramp in that the bigger the slope the less time it will take the ball to make it down the ramp and since the length of the ramp is the same throughout the 3 slopes, the slope and time is key in the velocity. Velocity is change in position over change in time. Average velocity is the (final velocity + initial velocity)/2.
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Speculate on what it is that causes the average velocity on these ramps to change with slope.
Velocity depends on time and the bigger a slope is the faster the ball will go down the ramp, so between the smaller and bigger slopes the average velocity will change.
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How might you verify whether your speculations are indeed valid explanations?
You can measure the length of the ramp, and you already have all the time intervals. Then you can find the velocity and then average velocity. You will see that they change with each slope change.
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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?
30 minutes
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&#Very good responses. Let me know if you have questions. &#