ball down ramp

PHY 231

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 **

I completely missed doing this excercise.

** #$&* Will a steeper ramp give greater or lesser time? **

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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 steeper the ramp, the less time it takes for the ball to roll down. Since

gravity is affecting it more in the direction of the bottom of the ramp as the

slope grows, the acceleration grows as well.

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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.

The time intervals will be decreasing. Same reason as above answer.

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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.

1.789

1.750

1.734

1.773

1.836

1.539

1.516

1.500

1.578

1.484

The first five data are the left to right times and the last five are the right

to left times.

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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.

1.227

1.273

1.227

1.273

1.211

1.102

1.086

1.133

1.078

1.148

The first five data are the left to right times and the last five are the right

to left times.

#$&*

Repeat the preceding using 3 dominoes instead of 2. Enter your 10 time

intervals using the same format as before.

0.922

0.906

0.977

1.000

0.977

0.961

0.938

0.969

0.969

0.961

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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.

They support the hypothesis. As the slope increases, the time decreases.

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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 higher the slope, the higher the average velocity. The distance travelled

is the same but you are dividing by a smaller divisor, thus resulting in a

larger quotient.

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Speculate on what it is that causes the average velocity on these ramps to

change with slope.

The force of gravity is always acting downward. When you increase the slope the

force of gravity is acting more in line with the ramp thus pulling it accross

the ramp downwatd.

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How might you verify whether your speculations are indeed valid explanations?

I'm not sure.

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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?

#$&*

&#Good responses. Let me know if you have questions. &#