PRE-LAB Unit 1 Pendulum for Pros Week 2 1. Consider four scenarios where measurements of two quantities are made. Curves displaying the distribution associated with each measurement and its uncertainty are displayed below for each of the four scenarios. Scenario 1 Scenario 2 x = 20 |8 = 5 x = 70 8=15 x = 20 |8= 5 x = 70 8 = 5 20 40 60 80 100 0 20 40 60 80 100 Scenario 3 Scenario 4 x = 35 8=5 x = 35 8 =10 xF 45 8=10 x= 45 8=5 T T 20 40 60 80 100 20 40 60 80 100 Rank the scenarios on the basis of how confident you are that the two measurements are different. On what basis was your ranking made? What feature(s) of the two curves was assessed to arrive at your ranking? 2. Ten measurements are taken resulting in a standard deviation o of 0.10 s. а. Determine the uncertainty in the measurement.

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( Photos 1:33 PM Tue 28 Sep
© 90%
Pre-Lab Unit 1 Pendulum Week 2
AA
2 of 2
b.
If an uncertainty one fifth the value found in a. is desired how many measurements
would be required (assume that the standard deviation with this number of
measurements is the same as with ten measurements).
3.
Ten identical blocks are placed in contact end to end. A meter stick is used to measure the
total length resulting in a measurement of 50.35 ± 0.05 cm. What is the length of each
block? Would a measurement of a single block with the same meter stick be as precise (that
is have the same number of decimals)?
Transcribed Image Text:( Photos 1:33 PM Tue 28 Sep © 90% Pre-Lab Unit 1 Pendulum Week 2 AA 2 of 2 b. If an uncertainty one fifth the value found in a. is desired how many measurements would be required (assume that the standard deviation with this number of measurements is the same as with ten measurements). 3. Ten identical blocks are placed in contact end to end. A meter stick is used to measure the total length resulting in a measurement of 50.35 ± 0.05 cm. What is the length of each block? Would a measurement of a single block with the same meter stick be as precise (that is have the same number of decimals)?
( Photos 1:33 PM Tue 28 Sep
© 90%
Pre-Lab Unit 1 Pendulum Week 2
AA
1 of 2
PRE-LAB Unit 1 Pendulum for Pros Week 2
Consider four scenarios where measurements of two quantities are made. Curves
displaying the distribution associated with each measurement and its uncertainty are
displayed below for each of the four scenarios.
1.
Scenario 1
Scenario 2
X = 20 8 = 5
x = 70 8 = 15
x = 20 |8 = 5
x = 70 8 = 5
20
40
60
80
100
20
40
60
80
100
Scenario 3
Scenario 4
x = 35 8=5 :
X = 35 8 =10
X= 45 8 = 10
x= 45 8 = 5
20
40
60
80
100
20
40
60
80
100
Rank the scenarios on the basis of how confident you are that the two measurements are
different. On what basis was your ranking made? What feature(s) of the two curves was
assessed to arrive at your ranking?
2.
Ten measurements are taken resulting in a standard deviation o of 0.10 s.
а.
Determine the uncertainty in the measurement.
Transcribed Image Text:( Photos 1:33 PM Tue 28 Sep © 90% Pre-Lab Unit 1 Pendulum Week 2 AA 1 of 2 PRE-LAB Unit 1 Pendulum for Pros Week 2 Consider four scenarios where measurements of two quantities are made. Curves displaying the distribution associated with each measurement and its uncertainty are displayed below for each of the four scenarios. 1. Scenario 1 Scenario 2 X = 20 8 = 5 x = 70 8 = 15 x = 20 |8 = 5 x = 70 8 = 5 20 40 60 80 100 20 40 60 80 100 Scenario 3 Scenario 4 x = 35 8=5 : X = 35 8 =10 X= 45 8 = 10 x= 45 8 = 5 20 40 60 80 100 20 40 60 80 100 Rank the scenarios on the basis of how confident you are that the two measurements are different. On what basis was your ranking made? What feature(s) of the two curves was assessed to arrive at your ranking? 2. Ten measurements are taken resulting in a standard deviation o of 0.10 s. а. Determine the uncertainty in the measurement.
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