1) How would you expect the height from which one drops the ball to affect the accuracy of the experimentally determined g? What things cause this variation in accuracy, and exactly how do they cause the variation? What trend in g should you observe as drop height increases? 2) How would your experimentally determined g be affected if the height of the object to be dropped were measured from the lower trip plate to the top of the object instead of its bottom? Would this be a systematic or random error, and exactly how would the data indicate this? Explain. 3) Though in this experiment air resistance is considered negligible, suppose that it were not. How would this affect your experimentally determined g? Would this be a personal, systematic or random error? Explain.

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Chapter1: Units, Trigonometry. And Vectors
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1) How would you expect the height from which one drops the ball to affect the accuracy of the experimentally determined g? What things cause this variation in accuracy, and exactly how do they cause the variation? What trend in g should you observe as drop height increases?

 

2) How would your experimentally determined g be affected if the height of the object to be dropped were measured from the lower trip plate to the top of the object instead of its bottom? Would this be a systematic or random error, and exactly how would the data indicate this? Explain.

 

3) Though in this experiment air resistance is considered negligible, suppose that it were not. How would this affect your experimentally determined g? Would this be a personal, systematic or random error? Explain.

 

4) What is the most obvious, simple change (using the same equipment) that you could make to the experimental procedure to increase the accuracy of the g you determine? (Hint: think about Q1)

Time to
Time to
Time to
Fall, t,
Fall, t₂
Fall, t3
( s )
( s )
( s )
0.130
0.140
0.140
0.0188
0.0576
0.313 0.0980
0.300 0.245 0.240 0.235
0.500 0.310 0.310 0.320
1.000 0.440 0.445 0.450
1.500 0.560 0.545 0.550 0.552
2.500 0.710 0.710 0.720 0.713
0.445
0.198
0.305
0.5081
Drop
Height, y
( m )
0.100
Mean Time
to Fall, t
(5)
0.137
0.24
Square of Mean
Fall Time, t²
(5²)
Accel. of
Gravity, g
(m/s²)
10.6
10.4
10.2
10.1
9.841
9.841
2
ģ= 10.2 m/s²
5₁₁1 ģ= 0.280
% error = 4.08%
Transcribed Image Text:Time to Time to Time to Fall, t, Fall, t₂ Fall, t3 ( s ) ( s ) ( s ) 0.130 0.140 0.140 0.0188 0.0576 0.313 0.0980 0.300 0.245 0.240 0.235 0.500 0.310 0.310 0.320 1.000 0.440 0.445 0.450 1.500 0.560 0.545 0.550 0.552 2.500 0.710 0.710 0.720 0.713 0.445 0.198 0.305 0.5081 Drop Height, y ( m ) 0.100 Mean Time to Fall, t (5) 0.137 0.24 Square of Mean Fall Time, t² (5²) Accel. of Gravity, g (m/s²) 10.6 10.4 10.2 10.1 9.841 9.841 2 ģ= 10.2 m/s² 5₁₁1 ģ= 0.280 % error = 4.08%
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