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course phy 231
if i already submitted this before, then overlook it
Brief ball off ramp to flooruses ball, ramp, TIMER, domino
See also Pictures_of_ball_and_ramps, which includes pictures and brief descriptions of basic setups.
Set up the ramp with one end supported by a domino lying on its long edge.
Time the ball traveling down the ramp, from rest, from release until it reaches the end of the ramp. Then time the ball from release until, having traveled down the ramp and fallen off the edge, it reaches the floor. Use your 8-count to determine the most accurate possible results.
At the same time you should be taking steps to observe how far the ball traveled in the horizontal direction after leaving the edge of the ramp.
Report your data:
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I only have the half size ramp, the one that is 15 cm long instead of 30. Is this okay?
From rest to end of ramp: 5 counts
From rest to the floor: 9 counts
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Then repeat, using the TIMER.
Report your data:
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From rest to end of ramp: .65 seconds
From rest to the floor: 1.0 seconds
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Repeat once more, this time clicking the TIMER at the ball's release, at the end of the ramp, and upon striking the floor.
Report your data:
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From release to end of ramp: .61
From release to floor: 1.01
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Describe the steps you took to get the most accurate possible data, and report your data.
I did multiple trials with each scenario and I took the average time that I got, if my times were consistent. I tried to not anticipate my clicking, so I tried to let go of the ball and click at the same time, click when I heard and saw the ball roll off the table, and click again when I heard it thud the ground. My final trial where I clicked three different times was consistent with my other trials, so that gives me confidence in my results
Analysis:
Be sure to include at least one sample calculation for each question (for example, when asked to find the acceleration for three setups, indicate how you did one of the calculuations, then just give your results for the other two).
For each setup, according to your 8-counts, what was the time in seconds for the ball to travel from one end of the ramp to the other? Explain your calculations, and give your results.
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What were the resulting average velocities?
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What were the resulting average accelerations, assuming acceleration to have been uniform?
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For each setup what was the time according to the TIMER program?
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What were the resulting average velocities?
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What were the resulting average accelerations, assuming acceleration to have been uniform?
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Describe how it might be possible for someone to 'think' him- or herself into errors on the 8-count.
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Describe how it might be possible for someone to 'think' him- or herself into errors using the TIMER.
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What do you estimate to be your percent error on the 8-count?
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How far did the ball travel in the horizontal direction during the interval between leaving the edge of the ramp and reaching the floor?
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According to your TIMER observations, what was the time of the ball's fall from the edge of the ramp to the floor?
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Based on your last two results, what do you conclude was the final velocity of the ball on the ramp? How does this compare to your previous results?
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Based on the distance of fall you can use the acceleration of gravity to calculate the time required for the ball to fall to the floor after leaving the ramp, assuming the vertical velocity at that instant to be negligible.
Answer the following:
What is your result?
Based on this result and your observed horizontal range, what is the horizontal velocity of the falling ball?
How does this compare with the your previous conclusions?
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Remaining questions are optional for all but University Physics Students:
You have a pretty good idea what the ball's speed was at the end of the ramp, and you know the slope of the ramp. Using your best result for the ball's speed, predict its horizontal range in two ways:
Assuming that the ball left the edge of the ramp at the presumed speed, and that its vertical velocity is negligible, how far would the ball travel in the horizontal direction before hitting the floor?
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Using the ball's presumed speed, find its vertical velocity at the end of the ramp. Assume that the ball is at this instant moving parallel to the ramp and use the slope of the ramp in an appropriate manner (perhaps to find the angle of the ramp with horizontal).
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How much different does it make in the ball's predicted horizontal range if you consider the vertical component of its velocity in the projectile analysis? Discuss.
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You can calculate the ball's end-of-ramp velocity using your data, analyzing the ball as a projectile. You know or can easily find the angle of its initial projectile velocity, and you know its vertical and horizontal displacements. Using these three bits of information, find the ball's velocity at the instant it leaves the end of the ramp.
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Compare your results and discuss.
Data look OK. You can proceed with analysis, as appended above.