Extension Question: 1) The precision of the timing measurement can be significantly improved by measuring the soundwave produced by the collision with the microphone in your phone. This is possible because microphones can collect data at very fast rates (e.g., 48,000 points per second for the data below). The data for a golf ball bouncing on a wooden desk is shown below. The second graph shows an expanded view of the sound wave with data points taken every -0.00002 seconds. Amplitude (Pa) 30.00 20.00 10.00 0.00 10.00 -20.00 -30.00 Amplitude (Pa) 0.0000 0.5000 1.0000 1.5000 2.0000 30.00 20.00 10.00 0.00 -10.00 -20.00 2.5000 Time (s) % Energy Bounce # Retained using KE 1 2 76.4% 3 77.8% 4 74.0% 5 78.5% 79.3% 7 78.5% 8 80.3% 9 79.1% 10 82.2% 11 80.5% 3.0000 3.5000 4.0000 4.5000 12 78.4% 13 77.3% мии -30.00 0.2600 0.2620 0.2640 0.2660 0.2680 0.2700 Time (s) The time between collisions can be measured to 3 significant figures. As can be seen from the table, the percent energy retained is shown to have differences of a few percent for individual collisions. This suggests that the variations in the retained energy represent real variations in the collision processes which can now be observed using the improved measurement approach. Provide a hypothesis what is causing this variation? 7

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Chapter1: Units, Trigonometry. And Vectors
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Extension Question:
1) The precision of the timing measurement can be significantly improved by measuring
the soundwave produced by the collision with the microphone in your phone. This is
possible because microphones can collect data at very fast rates (e.g., 48,000 points
per second for the data below). The data for a golf ball bouncing on a wooden desk
is shown below. The second graph shows an expanded view of the sound wave with
data points taken every -0.00002 seconds.
Amplitude (Pa)
30.00
20.00
10.00
0.00
10.00
-20.00
-30.00
Amplitude (Pa)
0.0000
0.5000
1.0000 1.5000
2.0000
30.00
20.00
10.00
0.00
-10.00
-20.00
2.5000
Time (s)
% Energy
Bounce # Retained using
KE
1
2
76.4%
3
77.8%
4
74.0%
5
78.5%
79.3%
7
78.5%
8
80.3%
9
79.1%
10
82.2%
11
80.5%
3.0000
3.5000
4.0000
4.5000
12
78.4%
13
77.3%
мии
-30.00
0.2600
0.2620
0.2640
0.2660
0.2680
0.2700
Time (s)
The time between collisions can be measured to 3 significant figures. As can be
seen from the table, the percent energy retained is shown to have differences of a
few percent for individual collisions. This suggests that the variations in the retained
energy represent real variations in the collision processes which can now be
observed using the improved measurement approach. Provide a hypothesis what is
causing this variation?
7
Transcribed Image Text:Extension Question: 1) The precision of the timing measurement can be significantly improved by measuring the soundwave produced by the collision with the microphone in your phone. This is possible because microphones can collect data at very fast rates (e.g., 48,000 points per second for the data below). The data for a golf ball bouncing on a wooden desk is shown below. The second graph shows an expanded view of the sound wave with data points taken every -0.00002 seconds. Amplitude (Pa) 30.00 20.00 10.00 0.00 10.00 -20.00 -30.00 Amplitude (Pa) 0.0000 0.5000 1.0000 1.5000 2.0000 30.00 20.00 10.00 0.00 -10.00 -20.00 2.5000 Time (s) % Energy Bounce # Retained using KE 1 2 76.4% 3 77.8% 4 74.0% 5 78.5% 79.3% 7 78.5% 8 80.3% 9 79.1% 10 82.2% 11 80.5% 3.0000 3.5000 4.0000 4.5000 12 78.4% 13 77.3% мии -30.00 0.2600 0.2620 0.2640 0.2660 0.2680 0.2700 Time (s) The time between collisions can be measured to 3 significant figures. As can be seen from the table, the percent energy retained is shown to have differences of a few percent for individual collisions. This suggests that the variations in the retained energy represent real variations in the collision processes which can now be observed using the improved measurement approach. Provide a hypothesis what is causing this variation? 7
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