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Data with Results
Average
Mass, m [kg] Time
Group
Kinematic
Velocity
Standard
Deviation
1
0.01
4.65
0.27
1
0.11
1.65
0.11
2
0.015
3.75
0.30
2
0.02
3.78
0.17
3
0.025
3.18
0.07
3
0.03
3.07
0.10
4
0.035
2.98
0.16
4
0.04
2.63
0.24
5
0.045
2.23
0.12
5
0.05
2.34
0.13
6
0.055
1.91
0.10
6
0.06
1.91
0.12
7
0.065
1.80
0.16
7
0.07
2.42
0.12
Energy
Predicted
Velocity
Percent
Difference
Group
Mass, m [kg] in grams
1
Height, h [m] average time, t [s]
standard dev Group 2 time
0.01
5
1
4.716666667 0.3930733604
1
0.11
105
1
1.578333333 0.07730890419
2
0.015
10
1
3.978571429 0.07470577207
3.93
2
0.02
15
1
3.788571429 0.07925245978
3.88
3
0.025
20
1
3
0.03
25
4
0.035
4
Group 3 time
Group 4 time Group 5 time Group 6 time
Group 7 time Group 8 time
4.5
5.31
4.6
5.09
4.3
4.5
1.6
1.55
1.5
1.71
1.51
1.6
3.9
3.93
4.02
3.93
4.04
4.1
3.7
3.88
3.7
3.83
3.73
3.8
3.118333333 0.08060190238
3.1
3.17
3.1
3
3.24
3.1
1
3.06 0.08099382693
3.1
3.12
3.1
3.08
3.06
2.9
30
1
2.675 0.04549725266
2.66
2.7
2.66
2.7
2.73
0.04
35
1
2.754285714 0.1389073004
2.72
2.7
2.72
2.7
2.8
3.04
2.6
5
0.045
40
1
2.201666667 0.1099848474
2.2
2.22
2.3
2.19
2
2.3
5
0.05
45
1
2.125 0.03885871846
2.1
2.12
2.2
2.13
2.1
2.1
6
0.055
50
1
2.135 0.1356097342
2.1
2.16
2
2.36
2.19
6
0.06
55
1
1.82 0.1303840481
1.9
1.6
1.9
1.8
7
0.065
60
1
1.895 0.1520197356
1.8
2
1.8
1.81
2.16
1.8
7
0.07
65
1
1.836666667 0.1786243731
1.6
2.02
1.7
1.84
2.06
1.8
8
0.075
70
1
1.895 0.09544631999
1.8
1.9
1.9
1.91
2.06
1.8
8
0.08
75
1
1.778333333 0.09347013783
1.9
1.7
1.7
1.79
1.88
1.7
2.6
2
1.9
Group
Mass, m [kg] hanger mass Height, h [m] average time, t [s]
standard dev Group 2 time
Group 3 time
Group 4 time Group 5 time Group 6 time
Group 7 time Group 8 time
1
0.01
5
1
4.65
0.27
4.62
4.77
4.66
4.37
4.36
1
0.11
105
1
1.65
0.11
1.81
1.54
1.5
1.68
1.64
1.7
2
0.015
10
1
3.75
0.30
3.87
3.76
3.65
3.97
4.05
3.22
2
0.02
15
1
3.78
0.17
3.83
3.83
3.62
4.06
3.69
3.64
3
0.025
20
1
3.18
0.07
3.22
3.15
3.06
3.27
3.19
3.17
3
0.03
25
1
3.07
0.10
3.19
2.95
3.17
3.1
2.95
3.05
4
0.035
30
1
2.98
0.16
2.71
2.99
2.91
3.14
2.98
3.14
4
0.04
35
1
2.63
0.24
2.86
2.52
2.54
2.34
2.54
2.98
5
0.045
40
1
2.23
0.12
2.43
2.31
2.12
2.16
2.22
2.14
5
0.05
45
1
2.34
0.13
2.26
2.35
2.36
2.26
2.2
2.58
6
0.055
50
1
1.91
0.10
1.83
2.01
2.04
1.83
1.81
1.94
6
0.06
55
1
1.91
0.12
2.1
1.89
1.88
1.8
1.79
2
7
0.065
60
1
1.80
0.16
1.81
1.86
2.09
1.68
1.67
1.69
7
0.07
65
1
2.42
0.12
2.26
2.54
2.55
2.49
2.34
2.34
bb
5.09
Group
Mass, m [kg] hanger mass Height, h [m] average time, t [s]
1
standard dev Group 2 time
4.82
Group 3 time
4.65
Group 4 time Group 5 time
0.01
5
1
4.73 0.1169045194
4.84
4.61
1
0.11
105
1
1.5925 0.1123610253
1.5
1.62
1.51
1.74
2
0.015
10
1
3.84 0.3194787421
4.29
3.84
3.58
3.65
2
0.02
15
1
3.8125 0.1813605984
4.08
3.73
3.68
3.76
2
0.025
20
1
3.22 0.1851125784
3.49
3.15
3.17
3.07
3
0.03
25
1
3.1925 0.1327591805
3.25
3.19
3.01
3.32
3
0.035
30
1
2.91 0.1061445555
3.06
2.91
2.83
2.84
3
0.04
35
1
2.7125 0.07410578025
2.77
2.63
2.67
2.78
4
0.045
40
1
2.4575 0.08732124598
2.39
2.56
2.38
2.5
4
0.05
45
1
2.3325 0.08015609771
2.23
2.38
2.31
2.41
4
0.055
50
1
2.3275 0.07135591543
2.31
2.35
2.24
2.41
5
0.06
55
1
2.415 0.07141428429
2.49
2.46
2.37
2.34
5
0.065
60
1
2.2225 0.09878427675
2.1
2.34
2.21
2.24
5
0.07
65
1
2.02 0.09018499506
1.97
1.95
2.15
2.01
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Explanation & Answer
View attached explanation and answer. Let me know if you have any questions.It is completed. Have a look.
AP Physics 1 Rotation Lab
Calculation Table:
Kinemati
c Velocity
(m/s)
Energy
predicte
d
Velocity
(m/s)
Percent
differenc
e
Grou
p
Mass
(kg)
Hanger
mass(g)
Total
mass
(kg)
Heigh
t
(m)
Averag
e time
(s)
Standard
deviatio
n
(s)
1
0.01
5
0.015
1
4.65
0.27
0.43
0.34
20.93
1
0.11
105
0.215
1
1.65
0.11
1.21
1.26
4.13
2
0.015
10
0.025
1
3.75
0.3
0.53
0.44
16.98
2
0.02
15
0.035
1
3.78
0.17
0.53
0.52
1.89
3
0.025
20
0.045
1
3.18
0.07
0.63
0.59
6.35
3
0.03
25
0.055
1
3.07
0.1
0.65
0.66
1.54
4
0.035
30
0.065
1
2.98
0.16
0.67
0.71
5.97
4
0.04
35
0.075
1
2.63
0.24
0.76
0.76
0.00
5
0.045
40
0.085
1
2.23
0.12
0.90
0.81
10.00
5
0.05
45
0.095
1
2...
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