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The purpose of this experiment was to demonstrate the uncertainty of experimental measurements. The free-fall times of two metal balls of varying weight were measured. This data was used to calculate the best estimate of these measurements and its consi

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Introduction

Callejo, Vlasyuk, Bukhbinder

Experiment 3: Motion with Constant Acceleration

Physics 1100-ETR6B: Professor Viraht Sahni

09/13/2011

Emily Callejo, Max Vlasyuk, and Aleksandr Bukhbinder


Objective

The purpose of this experiment was to demonstrate the uncertainty of experimental measurements.  The free-fall times of two metal balls of varying weight were measured.  This data was used to calculate the best estimate of these measurements and its consistency.  Then, the acceleration due to gravity was determined using the data obtained.  

Procedure

        The heavier metal ball was used first. It was placed in the release mechanism of the electronic free-fall timer apparatus. The receptor plate was placed right below the release mechanism and the release mechanism was placed on the stand so that the measured distance from the top of the receptor pad to the bottom of the ball was the specified length given, which was 90 centimeters.  Once the timer was set to zero, the ball was released by loosening the thumb screw to start the timer; the timer ended when the ball hit the pad.

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Middle

0.4544

20

0.4193

Table 2: Heavy Ball Calculation Results

Average Time (s)

image00.png

0.43

Standard Deviation (s)

image01.png

0.0096

Experimental Value of Free-Fall Time from 90 cm Distance (s)

image12.png

0.43+0.0096=0.44

0.43-0.0096=0.42

Acceleration Due to Gravity (cm/s2)

image04.png

997

image02.png

1.63

Table 3: Heavy Ball # of Trials Vs. Time

# of Trials

Time t(s)

2

0.417

2

0.433

4

0.421

2

0.423

1

0.435

4

0.419

1

0.418

1

0.422

1

0.440

1

0.425

1

0.454

Table 4: Light Steal Ball Fall Time

Trial #

Time t(s)

Average Time (s)

image00.png

1

0.4202

0.421

2

0.4226

3

0.4253

4

0.4226

5

0.4163

image03.png

Table 5: Heavy Steel Ball Class Results

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Conclusion

        One may expect to get better agreement for larger, rather than smaller values of θ because the larger the angle, the more it resembles a motion of a free-falling object, which falls perpendicularly from the horizontal.  

Conclusion  

        The motion of a puck sliding down an inclined plane, without air resistance, resembles a free-falling object and should have had a 9.80 m/s2 acceleration due to gravity. However, there were possibly two dominant sources of error in this experiment: the table was not completely level, which may have effected the motion and the velocity of the puck, and there was a lot of glare from the sunlight in the video, which made it difficult to see the dot in the middle of the puck.  Therefore, there was random error due to the inaccuracy of the cursor tracking of the image of the middle of the puck.  These were the probable causes of error in the experimental results.  It can be concluded that the force acting upon the puck undergoing a two-dimensional projectile motion is gravity and its motion can be described in two different components independently, its horizontal and vertical motions.

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