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7/29/2019 Excel spreadsheet to calculate potential energy of
magnetic slider on linear magnetic track and solve equation of
1/853
PE of magnetic slider in track of N magnet pairs phi deg to
track
range of N 1-21
All Parameters in SI units: N= 21
Slider Track
mag moment slider Track geometric parameters track mag
m1= 2 mass= 0.01 K= 0.02 L= 0.01 m2=
(slider orientation: a = -1 angle phi deg= 45
attractive a= +1
repulsive a= -1 ) radians= 0.785375
initial position Xo= You can vary parameters in coloured
cellsinitial velocity Vo= Sheet 2 solves the equations of motion of
the slider
Parameters: (repulsive case shown below a= -1)
time step
0.0001 0.005
t x v a KE PE Etot x
0 -0.2 0 0.54605 0 -0.00049 -0.00049 -0.2
-0.195 0.589333 -0.00052 -0.195
-0.19 0.637071 -0.00055 -0.19
-0.185 0.689832 -0.00059 -0.185
-0.18 0.74827 -0.00062 -0.18-0.175 0.813139 -0.00066 -0.175
-0.17 0.885315 -0.0007 -0.17
-0.165 0.965812 -0.00075 -0.165
-0.16 1.055812 -0.0008 -0.16
-0.155 1.156695 -0.00086 -0.155
-0.15 1.270075 -0.00092 -0.15
-0.145 1.397847 -0.00098 -0.145
-0.14 1.542238 -0.00106 -0.14
-0.135 1.705868 -0.00114 -0.135
-0.13 1.891828 -0.00123 -0.13
-0.125 2.103763 -0.00133 -0.125
-0.12 2.345966 -0.00144 -0.12
-0.115 2.623479 -0.00156 -0.115
-0.11 2.942191 -0.0017 -0.11
-0.105 3.308908 -0.00186 -0.105
-0.1 3.731355 -0.00203 -0.1
-0.095 4.218027 -0.00223 -0.095
-0.09 4.777721 -0.00246 -0.09
-0.085 5.418461 -0.00271 -0.085
-0.08 6.145207 -0.003 -0.08
-0.075 6.955245 -0.00333 -0.075
-0.07 7.82904 -0.0037 -0.07
-0.065 8.712219 -0.00411 -0.065
-0.06 9.479966 -0.00456 -0.06
-0.055 9.866134 -0.00505 -0.055
-0.05 9.320858 -0.00554 -0.05
-0.045 6.722779 -0.00595 -0.045-0.04 -0.20017 -0.00614 -0.04
-0.035 -16.0015 -0.00578 -0.035
-0.03 -49.5137 -0.00425 -0.03
-0.025 -116.334 -0.00028 -0.025
-0.02 -237.06 0.008293 -0.02
-0.015 -411.81 0.024379 -0.015
-0.01 -540.702 0.048814 -0.01
-0.005 -398.482 0.073799 -0.005
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7/29/2019 Excel spreadsheet to calculate potential energy of
magnetic slider on linear magnetic track and solve equation of
2/853
9.89E-17 -10.4517 0.084221 9.89E-17
0.005 231.4472 0.077653 0.005
0.01 293.0535 0.064042 0.01
0.015 248.7437 0.050201 0.015
0.02 199.211 0.039109 0.02
0.025 142.1959 0.030512 0.025
0.03 111.2572 0.024334 0.03
0.035 76.45579 0.019569 0.035
0.04 63.67907 0.016202 0.04
0.045 42.19134 0.013466 0.045
0.05 38.82111 0.011563 0.05
0.055 23.92134 0.009895 0.055
0.06 25.18156 0.008783 0.06
0.065 13.56565 0.00771 0.065
0.07 17.18021 0.007054 0.07
0.075 7.27055 0.006336 0.075
0.08 12.1333 0.005962 0.08
0.085 3.142915 0.005472 0.085
0.09 8.68449 0.005287 0.09
0.095 0.193604 0.004957 0.095
0.1 6.097917 0.004909 0.10.105 -2.1372 0.004701 0.105
0.11 3.936929 0.004765 0.11
0.115 -4.1993 0.004663 0.115
0.12 1.91408 0.004829 0.12
0.125 -6.23278 0.004828 0.125
0.13 -0.16909 0.005097 0.13
0.135 -8.38862 0.005202 0.135
0.14 -2.39198 0.00558 0.14
0.145 -10.6181 0.005797 0.145
0.15 -4.45978 0.006284 0.15
0.155 -12.1423 0.006592 0.155
0.16 -4.63175 0.007126 0.16
0.165 -9.297 0.007377 0.165
0.17 4.618953 0.007629 0.17
0.175 13.1803 0.007126 0.175
0.18 53.70512 0.005663 0.18
0.185 113.3018 0.00156 0.185
0.19 241.0534 -0.00693 0.19
0.195 408.5912 -0.02314 0.195
0.2 544.5178 -0.04748 0.2
0.205 395.0918 -0.07259 0.205
0.21 14.10052 -0.08291 0.21
0.215 -235.002 -0.07645 0.215
0.22 -289.567 -0.06273 0.22
0.225 -252.461 -0.04899 0.225
0.23 -195.89 -0.03778 0.23
0.235 -146.083 -0.02928 0.2350.24 -108.112 -0.02297 0.24
0.245 -80.5263 -0.01829 0.245
0.25 -60.7271 -0.01479 0.25
0.255 -46.4671 -0.01213 0.255
0.26 -36.0892 -0.01008 0.26
0.265 -28.4349 -0.00848 0.265
0.27 -22.7084 -0.0072 0.27
0.275 -18.3629 -0.00618 0.275
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7/29/2019 Excel spreadsheet to calculate potential energy of
magnetic slider on linear magnetic track and solve equation of
3/853
0.28 -15.0199 -0.00535 0.28
0.285 -12.4148 -0.00467 0.285
0.29 -10.3603 -0.0041 0.29
0.295 -8.72164 -0.00362 0.295
0.3 -7.40117 -0.00322 0.3
0.305 -6.32685 -0.00288 0.305
0.31 -5.44503 -0.00259 0.31
0.315 -4.71526 -0.00233 0.315
0.32 -4.10673 -0.00211 0.32
0.325 -3.59571 -0.00192 0.325
0.33 -3.16376 -0.00175 0.33
0.335 -2.7964 -0.0016 0.335
0.34 -2.48221 -0.00147 0.34
0.345 -2.21205 -0.00136 0.345
0.35 -1.9786 -0.00125 0.35
0.355 -1.77594 -0.00116 0.355
0.36 -1.59922 -0.00107 0.36
0.365 -1.4445 -0.001 0.365
0.37 -1.3085 -0.00093 0.37
0.375 -1.18854 -0.00087 0.375
0.38 -1.08235 -0.00081 0.380.385 -0.98804 -0.00076 0.385
0.39 -0.90402 -0.00071 0.39
0.395 -0.82896 -0.00067 0.395
0.4 -0.76171 -0.00063 0.4
0.405 -0.70129 -0.00059 0.405
0.41 -0.64688 -0.00056 0.41
0.415 -0.59777 -0.00053 0.415
0.42 -0.55333 -0.0005 0.42
0.425 -0.51303 -0.00047 0.425
0.43 -0.47641 -0.00045 0.43
0.435 -0.44307 -0.00042 0.435
0.44 -0.41265 -0.0004 0.44
0.445 -0.38485 -0.00038 0.445
0.45 -0.3594 -0.00036 0.45
0.455 -0.33606 -0.00034 0.455
0.46 -0.31461 -0.00033 0.46
0.465 -0.29489 -0.00031 0.465
0.47 -0.27671 -0.0003 0.47
0.475 -0.25994 -0.00029 0.475
0.48 -0.24444 -0.00027 0.48
0.485 -0.2301 -0.00026 0.485
0.49 -0.21681 -0.00025 0.49
0.495 -0.20449 -0.00024 0.495
0.5 -0.19304 -0.00023 0.5
0.505 -0.1824 -0.00022 0.505
0.51 -0.17249 -0.00021 0.51
0.515 -0.16325 -0.0002 0.5150.52 -0.15464 -0.00019 0.52
0.525 -0.14659 -0.00019 0.525
0.53 -0.13907 -0.00018 0.53
0.535 -0.13203 -0.00017 0.535
0.54 -0.12544 -0.00017 0.54
0.545 -0.11926 -0.00016 0.545
0.55 -0.11346 -0.00016 0.55
0.555 -0.10801 -0.00015 0.555
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7/29/2019 Excel spreadsheet to calculate potential energy of
magnetic slider on linear magnetic track and solve equation of
4/853
0.56 -0.10289 -0.00014 0.56
0.565 -0.09808 -0.00014 0.565
0.57 -0.09354 -0.00013 0.57
0.575 -0.08927 -0.00013 0.575
0.58 -0.08524 -0.00013 0.58
0.585 -0.08144 -0.00012 0.585
0.59 -0.07786 -0.00012 0.59
0.595 -0.07447 -0.00011 0.595
0.6 -0.07126 -0.00011 0.6
0.605 -0.06823 -0.00011 0.605
0.61 -0.06535 -0.0001 0.61
0.615 -0.06263 -1E-04 0.615
0.62 -0.06006 -9.7E-05 0.62
0.625 -0.05761 -9.4E-05 0.625
0.63 -0.05529 -9.1E-05 0.63
0.635 -0.05308 -8.8E-05 0.635
0.64 -0.05099 -8.6E-05 0.64
0.645 -0.049 -8.3E-05 0.645
0.65 -0.0471 -8.1E-05 0.65
0.655 -0.0453 -7.9E-05 0.655
0.66 -0.04359 -7.6E-05 0.660.665 -0.04195 -7.4E-05 0.665
0.67 -0.04039 -7.2E-05 0.67
0.675 -0.03891 -7E-05 0.675
0.68 -0.03749 -6.8E-05 0.68
0.685 -0.03614 -6.6E-05 0.685
0.69 -0.03484 -6.5E-05 0.69
0.695 -0.03361 -6.3E-05 0.695
0.7 -0.03243 -6.1E-05 0.7
0.705 -0.0313 -6E-05 0.705
0.71 -0.03022 -5.8E-05 0.71
0.715 -0.02919 -5.7E-05 0.715
0.72 -0.0282 -5.5E-05 0.72
0.725 -0.02725 -5.4E-05 0.725
0.73 -0.02635 -5.3E-05 0.73
0.735 -0.02548 -5.1E-05 0.735
0.74 -0.02465 -5E-05 0.74
0.745 -0.02385 -4.9E-05 0.745
0.75 -0.02308 -4.8E-05 0.75
0.755 -0.02234 -4.6E-05 0.755
0.76 -0.02164 -4.5E-05 0.76
0.765 -0.02096 -4.4E-05 0.765
0.77 -0.0203 -4.3E-05 0.77
0.775 -0.01968 -4.2E-05 0.775
0.78 -0.01907 -4.1E-05 0.78
0.785 -0.0185 -4E-05 0.785
0.79 -0.01794 -3.9E-05 0.79
0.795 -0.0174 -3.9E-05 0.7950.8 -0.01688 -3.8E-05 0.8
0.805 -0.01639 -3.7E-05 0.805
0.81 -0.01591 -3.6E-05 0.81
0.815 -0.01545 -3.5E-05 0.815
0.82 -0.015 -3.5E-05 0.82
0.825 -0.01457 -3.4E-05 0.825
0.83 -0.01416 -3.3E-05 0.83
0.835 -0.01376 -3.2E-05 0.835
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7/29/2019 Excel spreadsheet to calculate potential energy of
magnetic slider on linear magnetic track and solve equation of
5/853
0.84 -0.01337 -3.2E-05 0.84
0.845 -0.013 -3.1E-05 0.845
0.85 -0.01264 -3E-05 0.85
0.855 -0.0123 -3E-05 0.855
0.86 -0.01196 -2.9E-05 0.86
0.865 -0.01164 -2.9E-05 0.865
0.87 -0.01133 -2.8E-05 0.87
0.875 -0.01103 -2.7E-05 0.875
0.88 -0.01073 -2.7E-05 0.88
0.885 -0.01045 -2.6E-05 0.885
0.89 -0.01018 -2.6E-05 0.89
0.895 -0.00992 -2.5E-05 0.895
0.9 -0.00966 -2.5E-05 0.9
0.905 -0.00941 -2.4E-05 0.905
0.91 -0.00917 -2.4E-05 0.91
0.915 -0.00894 -2.3E-05 0.915
0.92 -0.00872 -2.3E-05 0.92
0.925 -0.0085 -2.3E-05 0.925
0.93 -0.00829 -2.2E-05 0.93
0.935 -0.00809 -2.2E-05 0.935
0.94 -0.00789 -2.1E-05 0.940.945 -0.0077 -2.1E-05 0.945
0.95 -0.00751 -2.1E-05 0.95
0.955 -0.00733 -2E-05 0.955
0.96 -0.00715 -2E-05 0.96
0.965 -0.00699 -2E-05 0.965
0.97 -0.00682 -1.9E-05 0.97
0.975 -0.00666 -1.9E-05 0.975
0.98 -0.00651 -1.9E-05 0.98
0.985 -0.00635 -1.8E-05 0.985
0.99 -0.00621 -1.8E-05 0.99
0.995 -0.00607 -1.8E-05 0.995
1 -0.00593 -1.7E-05 1
1.005 -0.00579 -1.7E-05 1.005
1.01 -0.00566 -1.7E-05 1.01
1.015 -0.00554 -1.6E-05 1.015
1.02 -0.00541 -1.6E-05 1.02
1.025 -0.00529 -1.6E-05 1.025
1.03 -0.00518 -1.6E-05 1.03
1.035 -0.00506 -1.5E-05 1.035
1.04 -0.00495 -1.5E-05 1.04
1.045 -0.00485 -1.5E-05 1.045
1.05 -0.00474 -1.5E-05 1.05
1.055 -0.00464 -1.4E-05 1.055
1.06 -0.00454 -1.4E-05 1.06
1.065 -0.00445 -1.4E-05 1.065
1.07 -0.00435 -1.4E-05 1.07
1.075 -0.00426 -1.4E-05 1.0751.08 -0.00417 -1.3E-05 1.08
1.085 -0.00409 -1.3E-05 1.085
1.09 -0.004 -1.3E-05 1.09
1.095 -0.00392 -1.3E-05 1.095
1.1 -0.00384 -1.2E-05 1.1
1.105 -0.00376 -1.2E-05 1.105
1.11 -0.00369 -1.2E-05 1.11
1.115 -0.00361 -1.2E-05 1.115
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7/29/2019 Excel spreadsheet to calculate potential energy of
magnetic slider on linear magnetic track and solve equation of
6/853
1.12 -0.00354 -1.2E-05 1.12
1.125 -0.00347 -1.2E-05 1.125
1.13 -0.0034 -1.1E-05 1.13
1.135 -0.00333 -1.1E-05 1.135
1.14 -0.00327 -1.1E-05 1.14
1.145 -0.00321 -1.1E-05 1.145
1.15 -0.00314 -1.1E-05 1.15
1.155 -0.00308 -1.1E-05 1.155
1.16 -0.00302 -1E-05 1.16
1.165 -0.00297 -1E-05 1.165
1.17 -0.00291 -1E-05 1.17
1.175 -0.00285 -1E-05 1.175
1.18 -0.0028 -9.9E-06 1.18
1.185 -0.00275 -9.7E-06 1.185
1.19 -0.0027 -9.6E-06 1.19
1.195 -0.00265 -9.5E-06 1.195
1.2 -0.0026 -9.3E-06 1.2
1.205 -0.00255 -9.2E-06 1.205
1.21 -0.0025 -9.1E-06 1.21
1.215 -0.00246 -9E-06 1.215
1.22 -0.00241 -8.8E-06 1.221.225 -0.00237 -8.7E-06 1.225
1.23 -0.00233 -8.6E-06 1.23
1.235 -0.00229 -8.5E-06 1.235
1.24 -0.00224 -8.4E-06 1.24
1.245 -0.0022 -8.3E-06 1.245
1.25 -0.00217 -8.1E-06 1.25
1.255 -0.00213 -8E-06 1.255
1.26 -0.00209 -7.9E-06 1.26
1.265 -0.00205 -7.8E-06 1.265
1.27 -0.00202 -7.7E-06 1.27
1.275 -0.00198 -7.6E-06 1.275
1.28 -0.00195 -7.5E-06 1.28
1.285 -0.00192 -7.4E-06 1.285
1.29 -0.00188 -7.3E-06 1.29
1.295 -0.00185 -7.2E-06 1.295
1.3 -0.00182 -7.2E-06 1.3
1.305 -0.00179 -7.1E-06 1.305
1.31 -0.00176 -7E-06 1.31
1.315 -0.00173 -6.9E-06 1.315
1.32 -0.0017 -6.8E-06 1.32
1.325 -0.00167 -6.7E-06 1.325
1.33 -0.00165 -6.6E-06 1.33
1.335 -0.00162 -6.6E-06 1.335
1.34 -0.00159 -6.5E-06 1.34
1.345 -0.00157 -6.4E-06 1.345
1.35 -0.00154 -6.3E-06 1.35
1.355 -0.00152 -6.2E-06 1.3551.36 -0.00149 -6.2E-06 1.36
1.365 -0.00147 -6.1E-06 1.365
1.37 -0.00144 -6E-06 1.37
1.375 -0.00142 -5.9E-06 1.375
1.38 -0.0014 -5.9E-06 1.38
1.385 -0.00138 -5.8E-06 1.385
1.39 -0.00136 -5.7E-06 1.39
1.395 -0.00133 -5.7E-06 1.395
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7/29/2019 Excel spreadsheet to calculate potential energy of
magnetic slider on linear magnetic track and solve equation of
7/853
1.4 -0.00131 -5.6E-06 1.4
1.405 -0.00129 -5.5E-06 1.405
1.41 -0.00127 -5.5E-06 1.41
1.415 -0.00125 -5.4E-06 1.415
1.42 -0.00123 -5.3E-06 1.42
1.425 -0.00122 -5.3E-06 1.425
1.43 -0.0012 -5.2E-06 1.43
1.435 -0.00118 -5.2E-06 1.435
1.44 -0.00116 -5.1E-06 1.44
1.445 -0.00114 -5.1E-06 1.445
1.45 -0.00113 -5E-06 1.45
1.455 -0.00111 -4.9E-06 1.455
1.46 -0.00109 -4.9E-06 1.46
1.465 -0.00108 -4.8E-06 1.465
1.47 -0.00106 -4.8E-06 1.47
1.475 -0.00105 -4.7E-06 1.475
1.48 -0.00103 -4.7E-06 1.48
1.485 -0.00102 -4.6E-06 1.485
1.49 -0.001 -4.6E-06 1.49
1.495 -0.00099 -4.5E-06 1.495
1.5 -0.00097 -4.5E-06 1.51.505 -0.00096 -4.4E-06 1.505
1.51 -0.00094 -4.4E-06 1.51
1.515 -0.00093 -4.3E-06 1.515
1.52 -0.00092 -4.3E-06 1.52
1.525 -0.0009 -4.2E-06 1.525
1.53 -0.00089 -4.2E-06 1.53
1.535 -0.00088 -4.1E-06 1.535
1.54 -0.00087 -4.1E-06 1.54
1.545 -0.00085 -4.1E-06 1.545
1.55 -0.00084 -4E-06 1.55
1.555 -0.00083 -4E-06 1.555
1.56 -0.00082 -3.9E-06 1.56
1.565 -0.00081 -3.9E-06 1.565
1.57 -0.0008 -3.9E-06 1.57
1.575 -0.00079 -3.8E-06 1.575
1.58 -0.00078 -3.8E-06 1.58
1.585 -0.00076 -3.7E-06 1.585
1.59 -0.00075 -3.7E-06 1.59
1.595 -0.00074 -3.7E-06 1.595
1.6 -0.00073 -3.6E-06 1.6
1.605 -0.00072 -3.6E-06 1.605
1.61 -0.00071 -3.6E-06 1.61
1.615 -0.00071 -3.5E-06 1.615
1.62 -0.0007 -3.5E-06 1.62
1.625 -0.00069 -3.4E-06 1.625
1.63 -0.00068 -3.4E-06 1.63
1.635 -0.00067 -3.4E-06 1.6351.64 -0.00066 -3.3E-06 1.64
1.645 -0.00065 -3.3E-06 1.645
1.65 -0.00064 -3.3E-06 1.65
1.655 -0.00063 -3.2E-06 1.655
1.66 -0.00063 -3.2E-06 1.66
1.665 -0.00062 -3.2E-06 1.665
1.67 -0.00061 -3.2E-06 1.67
1.675 -0.0006 -3.1E-06 1.675
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7/29/2019 Excel spreadsheet to calculate potential energy of
magnetic slider on linear magnetic track and solve equation of
8/853
1.68 -0.00059 -3.1E-06 1.68
1.685 -0.00059 -3.1E-06 1.685
1.69 -0.00058 -3E-06 1.69
1.695 -0.00057 -3E-06 1.695
1.7 -0.00057 -3E-06 1.7
1.705 -0.00056 -3E-06 1.705
1.71 -0.00055 -2.9E-06 1.71
1.715 -0.00054 -2.9E-06 1.715
1.72 -0.00054 -2.9E-06 1.72
1.725 -0.00053 -2.8E-06 1.725
1.73 -0.00052 -2.8E-06 1.73
1.735 -0.00052 -2.8E-06 1.735
1.74 -0.00051 -2.8E-06 1.74
1.745 -0.00051 -2.7E-06 1.745
1.75 -0.0005 -2.7E-06 1.75
1.755 -0.00049 -2.7E-06 1.755
1.76 -0.00049 -2.7E-06 1.76
1.765 -0.00048 -2.6E-06 1.765
1.77 -0.00048 -2.6E-06 1.77
1.775 -0.00047 -2.6E-06 1.775
1.78 -0.00046 -2.6E-06 1.781.785 -0.00046 -2.5E-06 1.785
1.79 -0.00045 -2.5E-06 1.79
1.795 -0.00045 -2.5E-06 1.795
1.8 -0.00044 -2.5E-06 1.8
1.805 -0.00044 -2.5E-06 1.805
1.81 -0.00043 -2.4E-06 1.81
1.815 -0.00043 -2.4E-06 1.815
1.82 -0.00042 -2.4E-06 1.82
1.825 -0.00042 -2.4E-06 1.825
1.83 -0.00041 -2.4E-06 1.83
1.835 -0.00041 -2.3E-06 1.835
1.84 -0.0004 -2.3E-06 1.84
1.845 -0.0004 -2.3E-06 1.845
1.85 -0.00039 -2.3E-06 1.85
1.855 -0.00039 -2.3E-06 1.855
1.86 -0.00038 -2.2E-06 1.86
1.865 -0.00038 -2.2E-06 1.865
1.87 -0.00038 -2.2E-06 1.87
1.875 -0.00037 -2.2E-06 1.875
1.88 -0.00037 -2.2E-06 1.88
1.885 -0.00036 -2.1E-06 1.885
1.89 -0.00036 -2.1E-06 1.89
1.895 -0.00035 -2.1E-06 1.895
1.9 -0.00035 -2.1E-06 1.9
1.905 -0.00035 -2.1E-06 1.905
1.91 -0.00034 -2E-06 1.91
1.915 -0.00034 -2E-06 1.9151.92 -0.00034 -2E-06 1.92
1.925 -0.00033 -2E-06 1.925
1.93 -0.00033 -2E-06 1.93
1.935 -0.00032 -2E-06 1.935
1.94 -0.00032 -2E-06 1.94
1.945 -0.00032 -1.9E-06 1.945
1.95 -0.00031 -1.9E-06 1.95
1.955 -0.00031 -1.9E-06 1.955
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7/29/2019 Excel spreadsheet to calculate potential energy of
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9/853
1.96 -0.00031 -1.9E-06 1.96
1.965 -0.0003 -1.9E-06 1.965
1.97 -0.0003 -1.9E-06 1.97
1.975 -0.0003 -1.8E-06 1.975
1.98 -0.00029 -1.8E-06 1.98
1.985 -0.00029 -1.8E-06 1.985
1.99 -0.00029 -1.8E-06 1.99
1.995 -0.00028 -1.8E-06 1.995
2 -0.00028 -1.8E-06 2
2.005 -0.00028 -1.8E-06 2.005
2.01 -0.00028 -1.7E-06 2.01
2.015 -0.00027 -1.7E-06 2.015
2.02 -0.00027 -1.7E-06 2.02
2.025 -0.00027 -1.7E-06 2.025
2.03 -0.00026 -1.7E-06 2.03
2.035 -0.00026 -1.7E-06 2.035
2.04 -0.00026 -1.7E-06 2.04
2.045 -0.00026 -1.6E-06 2.045
2.05 -0.00025 -1.6E-06 2.05
2.055 -0.00025 -1.6E-06 2.055
2.06 -0.00025 -1.6E-06 2.062.065 -0.00025 -1.6E-06 2.065
2.07 -0.00024 -1.6E-06 2.07
2.075 -0.00024 -1.6E-06 2.075
2.08 -0.00024 -1.6E-06 2.08
2.085 -0.00024 -1.6E-06 2.085
2.09 -0.00023 -1.5E-06 2.09
2.095 -0.00023 -1.5E-06 2.095
2.1 -0.00023 -1.5E-06 2.1
2.105 -0.00023 -1.5E-06 2.105
2.11 -0.00022 -1.5E-06 2.11
2.115 -0.00022 -1.5E-06 2.115
2.12 -0.00022 -1.5E-06 2.12
2.125 -0.00022 -1.5E-06 2.125
2.13 -0.00022 -1.4E-06 2.13
2.135 -0.00021 -1.4E-06 2.135
2.14 -0.00021 -1.4E-06 2.14
2.145 -0.00021 -1.4E-06 2.145
2.15 -0.00021 -1.4E-06 2.15
2.155 -0.00021 -1.4E-06 2.155
2.16 -0.0002 -1.4E-06 2.16
2.165 -0.0002 -1.4E-06 2.165
2.17 -0.0002 -1.4E-06 2.17
2.175 -0.0002 -1.4E-06 2.175
2.18 -0.0002 -1.3E-06 2.18
2.185 -0.00019 -1.3E-06 2.185
2.19 -0.00019 -1.3E-06 2.19
2.195 -0.00019 -1.3E-06 2.1952.2 -0.00019 -1.3E-06 2.2
2.205 -0.00019 -1.3E-06 2.205
2.21 -0.00018 -1.3E-06 2.21
2.215 -0.00018 -1.3E-06 2.215
2.22 -0.00018 -1.3E-06 2.22
2.225 -0.00018 -1.3E-06 2.225
2.23 -0.00018 -1.3E-06 2.23
2.235 -0.00018 -1.2E-06 2.235
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10/853
2.24 -0.00017 -1.2E-06 2.24
2.245 -0.00017 -1.2E-06 2.245
2.25 -0.00017 -1.2E-06 2.25
2.255 -0.00017 -1.2E-06 2.255
2.26 -0.00017 -1.2E-06 2.26
2.265 -0.00017 -1.2E-06 2.265
2.27 -0.00016 -1.2E-06 2.27
2.275 -0.00016 -1.2E-06 2.275
2.28 -0.00016 -1.2E-06 2.28
2.285 -0.00016 -1.2E-06 2.285
2.29 -0.00016 -1.2E-06 2.29
2.295 -0.00016 -1.1E-06 2.295
2.3 -0.00016 -1.1E-06 2.3
2.305 -0.00015 -1.1E-06 2.305
2.31 -0.00015 -1.1E-06 2.31
2.315 -0.00015 -1.1E-06 2.315
2.32 -0.00015 -1.1E-06 2.32
2.325 -0.00015 -1.1E-06 2.325
2.33 -0.00015 -1.1E-06 2.33
2.335 -0.00015 -1.1E-06 2.335
2.34 -0.00015 -1.1E-06 2.342.345 -0.00014 -1.1E-06 2.345
2.35 -0.00014 -1.1E-06 2.35
2.355 -0.00014 -1.1E-06 2.355
2.36 -0.00014 -1E-06 2.36
2.365 -0.00014 -1E-06 2.365
2.37 -0.00014 -1E-06 2.37
2.375 -0.00014 -1E-06 2.375
2.38 -0.00014 -1E-06 2.38
2.385 -0.00013 -1E-06 2.385
2.39 -0.00013 -1E-06 2.39
2.395 -0.00013 -1E-06 2.395
2.4 -0.00013 -9.9E-07 2.4
2.405 -0.00013 -9.9E-07 2.405
2.41 -0.00013 -9.8E-07 2.41
2.415 -0.00013 -9.7E-07 2.415
2.42 -0.00013 -9.7E-07 2.42
2.425 -0.00012 -9.6E-07 2.425
2.43 -0.00012 -9.5E-07 2.43
2.435 -0.00012 -9.5E-07 2.435
2.44 -0.00012 -9.4E-07 2.44
2.445 -0.00012 -9.4E-07 2.445
2.45 -0.00012 -9.3E-07 2.45
2.455 -0.00012 -9.2E-07 2.455
2.46 -0.00012 -9.2E-07 2.46
2.465 -0.00012 -9.1E-07 2.465
2.47 -0.00012 -9.1E-07 2.47
2.475 -0.00011 -9E-07 2.4752.48 -0.00011 -9E-07 2.48
2.485 -0.00011 -8.9E-07 2.485
2.49 -0.00011 -8.8E-07 2.49
2.495 -0.00011 -8.8E-07 2.495
2.5 -0.00011 -8.7E-07 2.5
2.505 -0.00011 -8.7E-07 2.505
2.51 -0.00011 -8.6E-07 2.51
2.515 -0.00011 -8.6E-07 2.515
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11/853
2.52 -0.00011 -8.5E-07 2.52
2.525 -0.00011 -8.5E-07 2.525
2.53 -0.0001 -8.4E-07 2.53
2.535 -0.0001 -8.4E-07 2.535
2.54 -0.0001 -8.3E-07 2.54
2.545 -0.0001 -8.3E-07 2.545
2.55 -0.0001 -8.2E-07 2.55
2.555 -0.0001 -8.2E-07 2.555
2.56 -9.9E-05 -8.1E-07 2.56
2.565 -9.9E-05 -8.1E-07 2.565
2.57 -9.8E-05 -8E-07 2.57
2.575 -9.7E-05 -8E-07 2.575
2.58 -9.6E-05 -7.9E-07 2.58
2.585 -9.6E-05 -7.9E-07 2.585
2.59 -9.5E-05 -7.8E-07 2.59
2.595 -9.4E-05 -7.8E-07 2.595
2.6 -9.3E-05 -7.7E-07 2.6
2.605 -9.2E-05 -7.7E-07 2.605
2.61 -9.2E-05 -7.6E-07 2.61
2.615 -9.1E-05 -7.6E-07 2.615
2.62 -9E-05 -7.5E-07 2.622.625 -9E-05 -7.5E-07 2.625
2.63 -8.9E-05 -7.4E-07 2.63
2.635 -8.8E-05 -7.4E-07 2.635
2.64 -8.7E-05 -7.4E-07 2.64
2.645 -8.7E-05 -7.3E-07 2.645
2.65 -8.6E-05 -7.3E-07 2.65
2.655 -8.5E-05 -7.2E-07 2.655
2.66 -8.5E-05 -7.2E-07 2.66
2.665 -8.4E-05 -7.1E-07 2.665
2.67 -8.3E-05 -7.1E-07 2.67
2.675 -8.3E-05 -7.1E-07 2.675
2.68 -8.2E-05 -7E-07 2.68
2.685 -8.1E-05 -7E-07 2.685
2.69 -8.1E-05 -6.9E-07 2.69
2.695 -8E-05 -6.9E-07 2.695
2.7 -8E-05 -6.9E-07 2.7
2.705 -7.9E-05 -6.8E-07 2.705
2.71 -7.8E-05 -6.8E-07 2.71
2.715 -7.8E-05 -6.7E-07 2.715
2.72 -7.7E-05 -6.7E-07 2.72
2.725 -7.7E-05 -6.7E-07 2.725
2.73 -7.6E-05 -6.6E-07 2.73
2.735 -7.5E-05 -6.6E-07 2.735
2.74 -7.5E-05 -6.5E-07 2.74
2.745 -7.4E-05 -6.5E-07 2.745
2.75 -7.4E-05 -6.5E-07 2.75
2.755 -7.3E-05 -6.4E-07 2.7552.76 -7.3E-05 -6.4E-07 2.76
2.765 -7.2E-05 -6.4E-07 2.765
2.77 -7.2E-05 -6.3E-07 2.77
2.775 -7.1E-05 -6.3E-07 2.775
2.78 -7E-05 -6.3E-07 2.78
2.785 -7E-05 -6.2E-07 2.785
2.79 -6.9E-05 -6.2E-07 2.79
2.795 -6.9E-05 -6.2E-07 2.795
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7/29/2019 Excel spreadsheet to calculate potential energy of
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2.8 -6.8E-05 -6.1E-07 2.8
2.805 -6.8E-05 -6.1E-07 2.805
2.81 -6.7E-05 -6.1E-07 2.81
2.815 -6.7E-05 -6E-07 2.815
2.82 -6.6E-05 -6E-07 2.82
2.825 -6.6E-05 -6E-07 2.825
2.83 -6.5E-05 -5.9E-07 2.83
2.835 -6.5E-05 -5.9E-07 2.835
2.84 -6.4E-05 -5.9E-07 2.84
2.845 -6.4E-05 -5.8E-07 2.845
2.85 -6.4E-05 -5.8E-07 2.85
2.855 -6.3E-05 -5.8E-07 2.855
2.86 -6.3E-05 -5.7E-07 2.86
2.865 -6.2E-05 -5.7E-07 2.865
2.87 -6.2E-05 -5.7E-07 2.87
2.875 -6.1E-05 -5.6E-07 2.875
2.88 -6.1E-05 -5.6E-07 2.88
2.885 -6E-05 -5.6E-07 2.885
2.89 -6E-05 -5.5E-07 2.89
2.895 -5.9E-05 -5.5E-07 2.895
2.9 -5.9E-05 -5.5E-07 2.92.905 -5.9E-05 -5.5E-07 2.905
2.91 -5.8E-05 -5.4E-07 2.91
2.915 -5.8E-05 -5.4E-07 2.915
2.92 -5.7E-05 -5.4E-07 2.92
2.925 -5.7E-05 -5.3E-07 2.925
2.93 -5.7E-05 -5.3E-07 2.93
2.935 -5.6E-05 -5.3E-07 2.935
2.94 -5.6E-05 -5.3E-07 2.94
2.945 -5.5E-05 -5.2E-07 2.945
2.95 -5.5E-05 -5.2E-07 2.95
2.955 -5.5E-05 -5.2E-07 2.955
2.96 -5.4E-05 -5.1E-07 2.96
2.965 -5.4E-05 -5.1E-07 2.965
2.97 -5.3E-05 -5.1E-07 2.97
2.975 -5.3E-05 -5.1E-07 2.975
2.98 -5.3E-05 -5E-07 2.98
2.985 -5.2E-05 -5E-07 2.985
2.99 -5.2E-05 -5E-07 2.99
2.995 -5.2E-05 -5E-07 2.995
3 -5.1E-05 -4.9E-07 3
3.005 -5.1E-05 -4.9E-07 3.005
3.01 -5.1E-05 -4.9E-07 3.01
3.015 -5E-05 -4.9E-07 3.015
3.02 -5E-05 -4.8E-07 3.02
3.025 -5E-05 -4.8E-07 3.025
3.03 -4.9E-05 -4.8E-07 3.03
3.035 -4.9E-05 -4.8E-07 3.0353.04 -4.9E-05 -4.7E-07 3.04
3.045 -4.8E-05 -4.7E-07 3.045
3.05 -4.8E-05 -4.7E-07 3.05
3.055 -4.8E-05 -4.7E-07 3.055
3.06 -4.7E-05 -4.6E-07 3.06
3.065 -4.7E-05 -4.6E-07 3.065
3.07 -4.7E-05 -4.6E-07 3.07
3.075 -4.6E-05 -4.6E-07 3.075
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7/29/2019 Excel spreadsheet to calculate potential energy of
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13/853
3.08 -4.6E-05 -4.5E-07 3.08
3.085 -4.6E-05 -4.5E-07 3.085
3.09 -4.5E-05 -4.5E-07 3.09
3.095 -4.5E-05 -4.5E-07 3.095
3.1 -4.5E-05 -4.5E-07 3.1
3.105 -4.4E-05 -4.4E-07 3.105
3.11 -4.4E-05 -4.4E-07 3.11
3.115 -4.4E-05 -4.4E-07 3.115
3.12 -4.4E-05 -4.4E-07 3.12
3.125 -4.3E-05 -4.3E-07 3.125
3.13 -4.3E-05 -4.3E-07 3.13
3.135 -4.3E-05 -4.3E-07 3.135
3.14 -4.2E-05 -4.3E-07 3.14
3.145 -4.2E-05 -4.3E-07 3.145
3.15 -4.2E-05 -4.2E-07 3.15
3.155 -4.2E-05 -4.2E-07 3.155
3.16 -4.1E-05 -4.2E-07 3.16
3.165 -4.1E-05 -4.2E-07 3.165
3.17 -4.1E-05 -4.2E-07 3.17
3.175 -4.1E-05 -4.1E-07 3.175
3.18 -4E-05 -4.1E-07 3.183.185 -4E-05 -4.1E-07 3.185
3.19 -4E-05 -4.1E-07 3.19
3.195 -3.9E-05 -4.1E-07 3.195
3.2 -3.9E-05 -4E-07 3.2
3.205 -3.9E-05 -4E-07 3.205
3.21 -3.9E-05 -4E-07 3.21
3.215 -3.8E-05 -4E-07 3.215
3.22 -3.8E-05 -4E-07 3.22
3.225 -3.8E-05 -3.9E-07 3.225
3.23 -3.8E-05 -3.9E-07 3.23
3.235 -3.7E-05 -3.9E-07 3.235
3.24 -3.7E-05 -3.9E-07 3.24
3.245 -3.7E-05 -3.9E-07 3.245
3.25 -3.7E-05 -3.8E-07 3.25
3.255 -3.7E-05 -3.8E-07 3.255
3.26 -3.6E-05 -3.8E-07 3.26
3.265 -3.6E-05 -3.8E-07 3.265
3.27 -3.6E-05 -3.8E-07 3.27
3.275 -3.6E-05 -3.8E-07 3.275
3.28 -3.5E-05 -3.7E-07 3.28
3.285 -3.5E-05 -3.7E-07 3.285
3.29 -3.5E-05 -3.7E-07 3.29
3.295 -3.5E-05 -3.7E-07 3.295
3.3 -3.5E-05 -3.7E-07 3.3
3.305 -3.4E-05 -3.6E-07 3.305
3.31 -3.4E-05 -3.6E-07 3.31
3.315 -3.4E-05 -3.6E-07 3.3153.32 -3.4E-05 -3.6E-07 3.32
3.325 -3.3E-05 -3.6E-07 3.325
3.33 -3.3E-05 -3.6E-07 3.33
3.335 -3.3E-05 -3.5E-07 3.335
3.34 -3.3E-05 -3.5E-07 3.34
3.345 -3.3E-05 -3.5E-07 3.345
3.35 -3.2E-05 -3.5E-07 3.35
3.355 -3.2E-05 -3.5E-07 3.355
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7/29/2019 Excel spreadsheet to calculate potential energy of
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14/853
3.36 -3.2E-05 -3.5E-07 3.36
3.365 -3.2E-05 -3.5E-07 3.365
3.37 -3.2E-05 -3.4E-07 3.37
3.375 -3.1E-05 -3.4E-07 3.375
3.38 -3.1E-05 -3.4E-07 3.38
3.385 -3.1E-05 -3.4E-07 3.385
3.39 -3.1E-05 -3.4E-07 3.39
3.395 -3.1E-05 -3.4E-07 3.395
3.4 -3.1E-05 -3.3E-07 3.4
3.405 -3E-05 -3.3E-07 3.405
3.41 -3E-05 -3.3E-07 3.41
3.415 -3E-05 -3.3E-07 3.415
3.42 -3E-05 -3.3E-07 3.42
3.425 -3E-05 -3.3E-07 3.425
3.43 -2.9E-05 -3.3E-07 3.43
3.435 -2.9E-05 -3.2E-07 3.435
3.44 -2.9E-05 -3.2E-07 3.44
3.445 -2.9E-05 -3.2E-07 3.445
3.45 -2.9E-05 -3.2E-07 3.45
3.455 -2.9E-05 -3.2E-07 3.455
3.46 -2.8E-05 -3.2E-07 3.46
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7/29/2019 Excel spreadsheet to calculate potential energy of
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ets
1
x-l x-2l x-3l x-4l x-5l x-6l x-7l x-8l x-9l
-0.21 -0.22 -0.23 -0.24 -0.25 -0.26 -0.27 -0.28 -0.29
-0.205 -0.215 -0.225 -0.235 -0.245 -0.255 -0.265 -0.275
-0.285
-0.2 -0.21 -0.22 -0.23 -0.24 -0.25 -0.26 -0.27 -0.28
-0.195 -0.205 -0.215 -0.225 -0.235 -0.245 -0.255 -0.265
-0.275
-0.19 -0.2 -0.21 -0.22 -0.23 -0.24 -0.25 -0.26 -0.27-0.185
-0.195 -0.205 -0.215 -0.225 -0.235 -0.245 -0.255 -0.265
-0.18 -0.19 -0.2 -0.21 -0.22 -0.23 -0.24 -0.25 -0.26
-0.175 -0.185 -0.195 -0.205 -0.215 -0.225 -0.235 -0.245
-0.255
-0.17 -0.18 -0.19 -0.2 -0.21 -0.22 -0.23 -0.24 -0.25
-0.165 -0.175 -0.185 -0.195 -0.205 -0.215 -0.225 -0.235
-0.245
-0.16 -0.17 -0.18 -0.19 -0.2 -0.21 -0.22 -0.23 -0.24
-0.155 -0.165 -0.175 -0.185 -0.195 -0.205 -0.215 -0.225
-0.235
-0.15 -0.16 -0.17 -0.18 -0.19 -0.2 -0.21 -0.22 -0.23
-0.145 -0.155 -0.165 -0.175 -0.185 -0.195 -0.205 -0.215
-0.225
-0.14 -0.15 -0.16 -0.17 -0.18 -0.19 -0.2 -0.21 -0.22
-0.135 -0.145 -0.155 -0.165 -0.175 -0.185 -0.195 -0.205
-0.215
-0.13 -0.14 -0.15 -0.16 -0.17 -0.18 -0.19 -0.2 -0.21
-0.125 -0.135 -0.145 -0.155 -0.165 -0.175 -0.185 -0.195
-0.205
-0.12 -0.13 -0.14 -0.15 -0.16 -0.17 -0.18 -0.19 -0.2
-0.115 -0.125 -0.135 -0.145 -0.155 -0.165 -0.175 -0.185
-0.195
-0.11 -0.12 -0.13 -0.14 -0.15 -0.16 -0.17 -0.18 -0.19
-0.105 -0.115 -0.125 -0.135 -0.145 -0.155 -0.165 -0.175
-0.185
-0.1 -0.11 -0.12 -0.13 -0.14 -0.15 -0.16 -0.17 -0.18
-0.095 -0.105 -0.115 -0.125 -0.135 -0.145 -0.155 -0.165
-0.175
-0.09 -0.1 -0.11 -0.12 -0.13 -0.14 -0.15 -0.16 -0.17
-0.085 -0.095 -0.105 -0.115 -0.125 -0.135 -0.145 -0.155
-0.165
-0.08 -0.09 -0.1 -0.11 -0.12 -0.13 -0.14 -0.15 -0.16
-0.075 -0.085 -0.095 -0.105 -0.115 -0.125 -0.135 -0.145
-0.155
-0.07 -0.08 -0.09 -0.1 -0.11 -0.12 -0.13 -0.14 -0.15
-0.065 -0.075 -0.085 -0.095 -0.105 -0.115 -0.125 -0.135
-0.145
-0.06 -0.07 -0.08 -0.09 -0.1 -0.11 -0.12 -0.13 -0.14
-0.055 -0.065 -0.075 -0.085 -0.095 -0.105 -0.115 -0.125
-0.135-0.05 -0.06 -0.07 -0.08 -0.09 -0.1 -0.11 -0.12 -0.13
-0.045 -0.055 -0.065 -0.075 -0.085 -0.095 -0.105 -0.115
-0.125
-0.04 -0.05 -0.06 -0.07 -0.08 -0.09 -0.1 -0.11 -0.12
-0.035 -0.045 -0.055 -0.065 -0.075 -0.085 -0.095 -0.105
-0.115
-0.03 -0.04 -0.05 -0.06 -0.07 -0.08 -0.09 -0.1 -0.11
-0.025 -0.035 -0.045 -0.055 -0.065 -0.075 -0.085 -0.095
-0.105
-0.02 -0.03 -0.04 -0.05 -0.06 -0.07 -0.08 -0.09 -0.1
-0.015 -0.025 -0.035 -0.045 -0.055 -0.065 -0.075 -0.085
-0.095
-600
-400
-200
0
200
400
600
-0.3 -0.2 -0.1 0 0.1 0.2 0.a/ms
-2
x/m
acceleration
-0.1
-0.08
-0.06
-0.04
-0.02
0
0.02
0.04
0.06
0.08
0.1
-0.3 -0.2 -0.1 0 0.1 0.2E/J
x/m
PE
-
7/29/2019 Excel spreadsheet to calculate potential energy of
magnetic slider on linear magnetic track and solve equation of
16/853
-0.01 -0.02 -0.03 -0.04 -0.05 -0.06 -0.07 -0.08 -0.09
-0.005 -0.015 -0.025 -0.035 -0.045 -0.055 -0.065 -0.075
-0.085
9.89E-17 -0.01 -0.02 -0.03 -0.04 -0.05 -0.06 -0.07 -0.08
0.005 -0.005 -0.015 -0.025 -0.035 -0.045 -0.055 -0.065
-0.075
0.01 1.01E-16 -0.01 -0.02 -0.03 -0.04 -0.05 -0.06 -0.07
0.015 0.005 -0.005 -0.015 -0.025 -0.035 -0.045 -0.055 -0.065
0.02 0.01 1.01E-16 -0.01 -0.02 -0.03 -0.04 -0.05 -0.06
0.025 0.015 0.005 -0.005 -0.015 -0.025 -0.035 -0.045 -0.055
0.03 0.02 0.01 9.37E-17 -0.01 -0.02 -0.03 -0.04 -0.05
0.035 0.025 0.015 0.005 -0.005 -0.015 -0.025 -0.035 -0.045
0.04 0.03 0.02 0.01 8.67E-17 -0.01 -0.02 -0.03 -0.04
0.045 0.035 0.025 0.015 0.005 -0.005 -0.015 -0.025 -0.035
0.05 0.04 0.03 0.02 0.01 7.98E-17 -0.01 -0.02 -0.03
0.055 0.045 0.035 0.025 0.015 0.005 -0.005 -0.015 -0.025
0.06 0.05 0.04 0.03 0.02 0.01 7.98E-17 -0.01 -0.02
0.065 0.055 0.045 0.035 0.025 0.015 0.005 -0.005 -0.015
0.07 0.06 0.05 0.04 0.03 0.02 0.01 9.37E-17 -0.01
0.075 0.065 0.055 0.045 0.035 0.025 0.015 0.005 -0.005
0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.01 1.08E-16
0.085 0.075 0.065 0.055 0.045 0.035 0.025 0.015 0.005
0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.010.095 0.085 0.075
0.065 0.055 0.045 0.035 0.025 0.015
0.1 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02
0.105 0.095 0.085 0.075 0.065 0.055 0.045 0.035 0.025
0.11 0.1 0.09 0.08 0.07 0.06 0.05 0.04 0.03
0.115 0.105 0.095 0.085 0.075 0.065 0.055 0.045 0.035
0.12 0.11 0.1 0.09 0.08 0.07 0.06 0.05 0.04
0.125 0.115 0.105 0.095 0.085 0.075 0.065 0.055 0.045
0.13 0.12 0.11 0.1 0.09 0.08 0.07 0.06 0.05
0.135 0.125 0.115 0.105 0.095 0.085 0.075 0.065 0.055
0.14 0.13 0.12 0.11 0.1 0.09 0.08 0.07 0.06
0.145 0.135 0.125 0.115 0.105 0.095 0.085 0.075 0.065
0.15 0.14 0.13 0.12 0.11 0.1 0.09 0.08 0.07
0.155 0.145 0.135 0.125 0.115 0.105 0.095 0.085 0.075
0.16 0.15 0.14 0.13 0.12 0.11 0.1 0.09 0.08
0.165 0.155 0.145 0.135 0.125 0.115 0.105 0.095 0.085
0.17 0.16 0.15 0.14 0.13 0.12 0.11 0.1 0.09
0.175 0.165 0.155 0.145 0.135 0.125 0.115 0.105 0.095
0.18 0.17 0.16 0.15 0.14 0.13 0.12 0.11 0.1
0.185 0.175 0.165 0.155 0.145 0.135 0.125 0.115 0.105
0.19 0.18 0.17 0.16 0.15 0.14 0.13 0.12 0.11
0.195 0.185 0.175 0.165 0.155 0.145 0.135 0.125 0.115
0.2 0.19 0.18 0.17 0.16 0.15 0.14 0.13 0.12
0.205 0.195 0.185 0.175 0.165 0.155 0.145 0.135 0.125
0.21 0.2 0.19 0.18 0.17 0.16 0.15 0.14 0.13
0.215 0.205 0.195 0.185 0.175 0.165 0.155 0.145 0.135
0.22 0.21 0.2 0.19 0.18 0.17 0.16 0.15 0.14
0.225 0.215 0.205 0.195 0.185 0.175 0.165 0.155 0.1450.23 0.22
0.21 0.2 0.19 0.18 0.17 0.16 0.15
0.235 0.225 0.215 0.205 0.195 0.185 0.175 0.165 0.155
0.24 0.23 0.22 0.21 0.2 0.19 0.18 0.17 0.16
0.245 0.235 0.225 0.215 0.205 0.195 0.185 0.175 0.165
0.25 0.24 0.23 0.22 0.21 0.2 0.19 0.18 0.17
0.255 0.245 0.235 0.225 0.215 0.205 0.195 0.185 0.175
0.26 0.25 0.24 0.23 0.22 0.21 0.2 0.19 0.18
0.265 0.255 0.245 0.235 0.225 0.215 0.205 0.195 0.185
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7/29/2019 Excel spreadsheet to calculate potential energy of
magnetic slider on linear magnetic track and solve equation of
17/853
0.27 0.26 0.25 0.24 0.23 0.22 0.21 0.2 0.19
0.275 0.265 0.255 0.245 0.235 0.225 0.215 0.205 0.195
0.28 0.27 0.26 0.25 0.24 0.23 0.22 0.21 0.2
0.285 0.275 0.265 0.255 0.245 0.235 0.225 0.215 0.205
0.29 0.28 0.27 0.26 0.25 0.24 0.23 0.22 0.21
0.295 0.285 0.275 0.265 0.255 0.245 0.235 0.225 0.215
0.3 0.29 0.28 0.27 0.26 0.25 0.24 0.23 0.22
0.305 0.295 0.285 0.275 0.265 0.255 0.245 0.235 0.225
0.31 0.3 0.29 0.28 0.27 0.26 0.25 0.24 0.23
0.315 0.305 0.295 0.285 0.275 0.265 0.255 0.245 0.235
0.32 0.31 0.3 0.29 0.28 0.27 0.26 0.25 0.24
0.325 0.315 0.305 0.295 0.285 0.275 0.265 0.255 0.245
0.33 0.32 0.31 0.3 0.29 0.28 0.27 0.26 0.25
0.335 0.325 0.315 0.305 0.295 0.285 0.275 0.265 0.255
0.34 0.33 0.32 0.31 0.3 0.29 0.28 0.27 0.26
0.345 0.335 0.325 0.315 0.305 0.295 0.285 0.275 0.265
0.35 0.34 0.33 0.32 0.31 0.3 0.29 0.28 0.27
0.355 0.345 0.335 0.325 0.315 0.305 0.295 0.285 0.275
0.36 0.35 0.34 0.33 0.32 0.31 0.3 0.29 0.28
0.365 0.355 0.345 0.335 0.325 0.315 0.305 0.295 0.285
0.37 0.36 0.35 0.34 0.33 0.32 0.31 0.3 0.290.375 0.365 0.355
0.345 0.335 0.325 0.315 0.305 0.295
0.38 0.37 0.36 0.35 0.34 0.33 0.32 0.31 0.3
0.385 0.375 0.365 0.355 0.345 0.335 0.325 0.315 0.305
0.39 0.38 0.37 0.36 0.35 0.34 0.33 0.32 0.31
0.395 0.385 0.375 0.365 0.355 0.345 0.335 0.325 0.315
0.4 0.39 0.38 0.37 0.36 0.35 0.34 0.33 0.32
0.405 0.395 0.385 0.375 0.365 0.355 0.345 0.335 0.325
0.41 0.4 0.39 0.38 0.37 0.36 0.35 0.34 0.33
0.415 0.405 0.395 0.385 0.375 0.365 0.355 0.345 0.335
0.42 0.41 0.4 0.39 0.38 0.37 0.36 0.35 0.34
0.425 0.415 0.405 0.395 0.385 0.375 0.365 0.355 0.345
0.43 0.42 0.41 0.4 0.39 0.38 0.37 0.36 0.35
0.435 0.425 0.415 0.405 0.395 0.385 0.375 0.365 0.355
0.44 0.43 0.42 0.41 0.4 0.39 0.38 0.37 0.36
0.445 0.435 0.425 0.415 0.405 0.395 0.385 0.375 0.365
0.45 0.44 0.43 0.42 0.41 0.4 0.39 0.38 0.37
0.455 0.445 0.435 0.425 0.415 0.405 0.395 0.385 0.375
0.46 0.45 0.44 0.43 0.42 0.41 0.4 0.39 0.38
0.465 0.455 0.445 0.435 0.425 0.415 0.405 0.395 0.385
0.47 0.46 0.45 0.44 0.43 0.42 0.41 0.4 0.39
0.475 0.465 0.455 0.445 0.435 0.425 0.415 0.405 0.395
0.48 0.47 0.46 0.45 0.44 0.43 0.42 0.41 0.4
0.485 0.475 0.465 0.455 0.445 0.435 0.425 0.415 0.405
0.49 0.48 0.47 0.46 0.45 0.44 0.43 0.42 0.41
0.495 0.485 0.475 0.465 0.455 0.445 0.435 0.425 0.415
0.5 0.49 0.48 0.47 0.46 0.45 0.44 0.43 0.42
0.505 0.495 0.485 0.475 0.465 0.455 0.445 0.435 0.4250.51 0.5
0.49 0.48 0.47 0.46 0.45 0.44 0.43
0.515 0.505 0.495 0.485 0.475 0.465 0.455 0.445 0.435
0.52 0.51 0.5 0.49 0.48 0.47 0.46 0.45 0.44
0.525 0.515 0.505 0.495 0.485 0.475 0.465 0.455 0.445
0.53 0.52 0.51 0.5 0.49 0.48 0.47 0.46 0.45
0.535 0.525 0.515 0.505 0.495 0.485 0.475 0.465 0.455
0.54 0.53 0.52 0.51 0.5 0.49 0.48 0.47 0.46
0.545 0.535 0.525 0.515 0.505 0.495 0.485 0.475 0.465
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7/29/2019 Excel spreadsheet to calculate potential energy of
magnetic slider on linear magnetic track and solve equation of
18/853
0.55 0.54 0.53 0.52 0.51 0.5 0.49 0.48 0.47
0.555 0.545 0.535 0.525 0.515 0.505 0.495 0.485 0.475
0.56 0.55 0.54 0.53 0.52 0.51 0.5 0.49 0.48
0.565 0.555 0.545 0.535 0.525 0.515 0.505 0.495 0.485
0.57 0.56 0.55 0.54 0.53 0.52 0.51 0.5 0.49
0.575 0.565 0.555 0.545 0.535 0.525 0.515 0.505 0.495
0.58 0.57 0.56 0.55 0.54 0.53 0.52 0.51 0.5
0.585 0.575 0.565 0.555 0.545 0.535 0.525 0.515 0.505
0.59 0.58 0.57 0.56 0.55 0.54 0.53 0.52 0.51
0.595 0.585 0.575 0.565 0.555 0.545 0.535 0.525 0.515
0.6 0.59 0.58 0.57 0.56 0.55 0.54 0.53 0.52
0.605 0.595 0.585 0.575 0.565 0.555 0.545 0.535 0.525
0.61 0.6 0.59 0.58 0.57 0.56 0.55 0.54 0.53
0.615 0.605 0.595 0.585 0.575 0.565 0.555 0.545 0.535
0.62 0.61 0.6 0.59 0.58 0.57 0.56 0.55 0.54
0.625 0.615 0.605 0.595 0.585 0.575 0.565 0.555 0.545
0.63 0.62 0.61 0.6 0.59 0.58 0.57 0.56 0.55
0.635 0.625 0.615 0.605 0.595 0.585 0.575 0.565 0.555
0.64 0.63 0.62 0.61 0.6 0.59 0.58 0.57 0.56
0.645 0.635 0.625 0.615 0.605 0.595 0.585 0.575 0.565
0.65 0.64 0.63 0.62 0.61 0.6 0.59 0.58 0.570.655 0.645 0.635
0.625 0.615 0.605 0.595 0.585 0.575
0.66 0.65 0.64 0.63 0.62 0.61 0.6 0.59 0.58
0.665 0.655 0.645 0.635 0.625 0.615 0.605 0.595 0.585
0.67 0.66 0.65 0.64 0.63 0.62 0.61 0.6 0.59
0.675 0.665 0.655 0.645 0.635 0.625 0.615 0.605 0.595
0.68 0.67 0.66 0.65 0.64 0.63 0.62 0.61 0.6
0.685 0.675 0.665 0.655 0.645 0.635 0.625 0.615 0.605
0.69 0.68 0.67 0.66 0.65 0.64 0.63 0.62 0.61
0.695 0.685 0.675 0.665 0.655 0.645 0.635 0.625 0.615
0.7 0.69 0.68 0.67 0.66 0.65 0.64 0.63 0.62
0.705 0.695 0.685 0.675 0.665 0.655 0.645 0.635 0.625
0.71 0.7 0.69 0.68 0.67 0.66 0.65 0.64 0.63
0.715 0.705 0.695 0.685 0.675 0.665 0.655 0.645 0.635
0.72 0.71 0.7 0.69 0.68 0.67 0.66 0.65 0.64
0.725 0.715 0.705 0.695 0.685 0.675 0.665 0.655 0.645
0.73 0.72 0.71 0.7 0.69 0.68 0.67 0.66 0.65
0.735 0.725 0.715 0.705 0.695 0.685 0.675 0.665 0.655
0.74 0.73 0.72 0.71 0.7 0.69 0.68 0.67 0.66
0.745 0.735 0.725 0.715 0.705 0.695 0.685 0.675 0.665
0.75 0.74 0.73 0.72 0.71 0.7 0.69 0.68 0.67
0.755 0.745 0.735 0.725 0.715 0.705 0.695 0.685 0.675
0.76 0.75 0.74 0.73 0.72 0.71 0.7 0.69 0.68
0.765 0.755 0.745 0.735 0.725 0.715 0.705 0.695 0.685
0.77 0.76 0.75 0.74 0.73 0.72 0.71 0.7 0.69
0.775 0.765 0.755 0.745 0.735 0.725 0.715 0.705 0.695
0.78 0.77 0.76 0.75 0.74 0.73 0.72 0.71 0.7
0.785 0.775 0.765 0.755 0.745 0.735 0.725 0.715 0.7050.79 0.78
0.77 0.76 0.75 0.74 0.73 0.72 0.71
0.795 0.785 0.775 0.765 0.755 0.745 0.735 0.725 0.715
0.8 0.79 0.78 0.77 0.76 0.75 0.74 0.73 0.72
0.805 0.795 0.785 0.775 0.765 0.755 0.745 0.735 0.725
0.81 0.8 0.79 0.78 0.77 0.76 0.75 0.74 0.73
0.815 0.805 0.795 0.785 0.775 0.765 0.755 0.745 0.735
0.82 0.81 0.8 0.79 0.78 0.77 0.76 0.75 0.74
0.825 0.815 0.805 0.795 0.785 0.775 0.765 0.755 0.745
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7/29/2019 Excel spreadsheet to calculate potential energy of
magnetic slider on linear magnetic track and solve equation of
19/853
0.83 0.82 0.81 0.8 0.79 0.78 0.77 0.76 0.75
0.835 0.825 0.815 0.805 0.795 0.785 0.775 0.765 0.755
0.84 0.83 0.82 0.81 0.8 0.79 0.78 0.77 0.76
0.845 0.835 0.825 0.815 0.805 0.795 0.785 0.775 0.765
0.85 0.84 0.83 0.82 0.81 0.8 0.79 0.78 0.77
0.855 0.845 0.835 0.825 0.815 0.805 0.795 0.785 0.775
0.86 0.85 0.84 0.83 0.82 0.81 0.8 0.79 0.78
0.865 0.855 0.845 0.835 0.825 0.815 0.805 0.795 0.785
0.87 0.86 0.85 0.84 0.83 0.82 0.81 0.8 0.79
0.875 0.865 0.855 0.845 0.835 0.825 0.815 0.805 0.795
0.88 0.87 0.86 0.85 0.84 0.83 0.82 0.81 0.8
0.885 0.875 0.865 0.855 0.845 0.835 0.825 0.815 0.805
0.89 0.88 0.87 0.86 0.85 0.84 0.83 0.82 0.81
0.895 0.885 0.875 0.865 0.855 0.845 0.835 0.825 0.815
0.9 0.89 0.88 0.87 0.86 0.85 0.84 0.83 0.82
0.905 0.895 0.885 0.875 0.865 0.855 0.845 0.835 0.825
0.91 0.9 0.89 0.88 0.87 0.86 0.85 0.84 0.83
0.915 0.905 0.895 0.885 0.875 0.865 0.855 0.845 0.835
0.92 0.91 0.9 0.89 0.88 0.87 0.86 0.85 0.84
0.925 0.915 0.905 0.895 0.885 0.875 0.865 0.855 0.845
0.93 0.92 0.91 0.9 0.89 0.88 0.87 0.86 0.850.935 0.925 0.915
0.905 0.895 0.885 0.875 0.865 0.855
0.94 0.93 0.92 0.91 0.9 0.89 0.88 0.87 0.86
0.945 0.935 0.925 0.915 0.905 0.895 0.885 0.875 0.865
0.95 0.94 0.93 0.92 0.91 0.9 0.89 0.88 0.87
0.955 0.945 0.935 0.925 0.915 0.905 0.895 0.885 0.875
0.96 0.95 0.94 0.93 0.92 0.91 0.9 0.89 0.88
0.965 0.955 0.945 0.935 0.925 0.915 0.905 0.895 0.885
0.97 0.96 0.95 0.94 0.93 0.92 0.91 0.9 0.89
0.975 0.965 0.955 0.945 0.935 0.925 0.915 0.905 0.895
0.98 0.97 0.96 0.95 0.94 0.93 0.92 0.91 0.9
0.985 0.975 0.965 0.955 0.945 0.935 0.925 0.915 0.905
0.99 0.98 0.97 0.96 0.95 0.94 0.93 0.92 0.91
0.995 0.985 0.975 0.965 0.955 0.945 0.935 0.925 0.915
1 0.99 0.98 0.97 0.96 0.95 0.94 0.93 0.92
1.005 0.995 0.985 0.975 0.965 0.955 0.945 0.935 0.925
1.01 1 0.99 0.98 0.97 0.96 0.95 0.94 0.93
1.015 1.005 0.995 0.985 0.975 0.965 0.955 0.945 0.935
1.02 1.01 1 0.99 0.98 0.97 0.96 0.95 0.94
1.025 1.015 1.005 0.995 0.985 0.975 0.965 0.955 0.945
1.03 1.02 1.01 1 0.99 0.98 0.97 0.96 0.95
1.035 1.025 1.015 1.005 0.995 0.985 0.975 0.965 0.955
1.04 1.03 1.02 1.01 1 0.99 0.98 0.97 0.96
1.045 1.035 1.025 1.015 1.005 0.995 0.985 0.975 0.965
1.05 1.04 1.03 1.02 1.01 1 0.99 0.98 0.97
1.055 1.045 1.035 1.025 1.015 1.005 0.995 0.985 0.975
1.06 1.05 1.04 1.03 1.02 1.01 1 0.99 0.98
1.065 1.055 1.045 1.035 1.025 1.015 1.005 0.995 0.9851.07 1.06
1.05 1.04 1.03 1.02 1.01 1 0.99
1.075 1.065 1.055 1.045 1.035 1.025 1.015 1.005 0.995
1.08 1.07 1.06 1.05 1.04 1.03 1.02 1.01 1
1.085 1.075 1.065 1.055 1.045 1.035 1.025 1.015 1.005
1.09 1.08 1.07 1.06 1.05 1.04 1.03 1.02 1.01
1.095 1.085 1.075 1.065 1.055 1.045 1.035 1.025 1.015
1.1 1.09 1.08 1.07 1.06 1.05 1.04 1.03 1.02
1.105 1.095 1.085 1.075 1.065 1.055 1.045 1.035 1.025
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7/29/2019 Excel spreadsheet to calculate potential energy of
magnetic slider on linear magnetic track and solve equation of
20/853
1.11 1.1 1.09 1.08 1.07 1.06 1.05 1.04 1.03
1.115 1.105 1.095 1.085 1.075 1.065 1.055 1.045 1.035
1.12 1.11 1.1 1.09 1.08 1.07 1.06 1.05 1.04
1.125 1.115 1.105 1.095 1.085 1.075 1.065 1.055 1.045
1.13 1.12 1.11 1.1 1.09 1.08 1.07 1.06 1.05
1.135 1.125 1.115 1.105 1.095 1.085 1.075 1.065 1.055
1.14 1.13 1.12 1.11 1.1 1.09 1.08 1.07 1.06
1.145 1.135 1.125 1.115 1.105 1.095 1.085 1.075 1.065
1.15 1.14 1.13 1.12 1.11 1.1 1.09 1.08 1.07
1.155 1.145 1.135 1.125 1.115 1.105 1.095 1.085 1.075
1.16 1.15 1.14 1.13 1.12 1.11 1.1 1.09 1.08
1.165 1.155 1.145 1.135 1.125 1.115 1.105 1.095 1.085
1.17 1.16 1.15 1.14 1.13 1.12 1.11 1.1 1.09
1.175 1.165 1.155 1.145 1.135 1.125 1.115 1.105 1.095
1.18 1.17 1.16 1.15 1.14 1.13 1.12 1.11 1.1
1.185 1.175 1.165 1.155 1.145 1.135 1.125 1.115 1.105
1.19 1.18 1.17 1.16 1.15 1.14 1.13 1.12 1.11
1.195 1.185 1.175 1.165 1.155 1.145 1.135 1.125 1.115
1.2 1.19 1.18 1.17 1.16 1.15 1.14 1.13 1.12
1.205 1.195 1.185 1.175 1.165 1.155 1.145 1.135 1.125
1.21 1.2 1.19 1.18 1.17 1.16 1.15 1.14 1.131.215 1.205 1.195
1.185 1.175 1.165 1.155 1.145 1.135
1.22 1.21 1.2 1.19 1.18 1.17 1.16 1.15 1.14
1.225 1.215 1.205 1.195 1.185 1.175 1.165 1.155 1.145
1.23 1.22 1.21 1.2 1.19 1.18 1.17 1.16 1.15
1.235 1.225 1.215 1.205 1.195 1.185 1.175 1.165 1.155
1.24 1.23 1.22 1.21 1.2 1.19 1.18 1.17 1.16
1.245 1.235 1.225 1.215 1.205 1.195 1.185 1.175 1.165
1.25 1.24 1.23 1.22 1.21 1.2 1.19 1.18 1.17
1.255 1.245 1.235 1.225 1.215 1.205 1.195 1.185 1.175
1.26 1.25 1.24 1.23 1.22 1.21 1.2 1.19 1.18
1.265 1.255 1.245 1.235 1.225 1.215 1.205 1.195 1.185
1.27 1.26 1.25 1.24 1.23 1.22 1.21 1.2 1.19
1.275 1.265 1.255 1.245 1.235 1.225 1.215 1.205 1.195
1.28 1.27 1.26 1.25 1.24 1.23 1.22 1.21 1.2
1.285 1.275 1.265 1.255 1.245 1.235 1.225 1.215 1.205
1.29 1.28 1.27 1.26 1.25 1.24 1.23 1.22 1.21
1.295 1.285 1.275 1.265 1.255 1.245 1.235 1.225 1.215
1.3 1.29 1.28 1.27 1.26 1.25 1.24 1.23 1.22
1.305 1.295 1.285 1.275 1.265 1.255 1.245 1.235 1.225
1.31 1.3 1.29 1.28 1.27 1.26 1.25 1.24 1.23
1.315 1.305 1.295 1.285 1.275 1.265 1.255 1.245 1.235
1.32 1.31 1.3 1.29 1.28 1.27 1.26 1.25 1.24
1.325 1.315 1.305 1.295 1.285 1.275 1.265 1.255 1.245
1.33 1.32 1.31 1.3 1.29 1.28 1.27 1.26 1.25
1.335 1.325 1.315 1.305 1.295 1.285 1.275 1.265 1.255
1.34 1.33 1.32 1.31 1.3 1.29 1.28 1.27 1.26
1.345 1.335 1.325 1.315 1.305 1.295 1.285 1.275 1.2651.35 1.34
1.33 1.32 1.31 1.3 1.29 1.28 1.27
1.355 1.345 1.335 1.325 1.315 1.305 1.295 1.285 1.275
1.36 1.35 1.34 1.33 1.32 1.31 1.3 1.29 1.28
1.365 1.355 1.345 1.335 1.325 1.315 1.305 1.295 1.285
1.37 1.36 1.35 1.34 1.33 1.32 1.31 1.3 1.29
1.375 1.365 1.355 1.345 1.335 1.325 1.315 1.305 1.295
1.38 1.37 1.36 1.35 1.34 1.33 1.32 1.31 1.3
1.385 1.375 1.365 1.355 1.345 1.335 1.325 1.315 1.305
-
7/29/2019 Excel spreadsheet to calculate potential energy of
magnetic slider on linear magnetic track and solve equation of
21/853
1.39 1.38 1.37 1.36 1.35 1.34 1.33 1.32 1.31
1.395 1.385 1.375 1.365 1.355 1.345 1.335 1.325 1.315
1.4 1.39 1.38 1.37 1.36 1.35 1.34 1.33 1.32
1.405 1.395 1.385 1.375 1.365 1.355 1.345 1.335 1.325
1.41 1.4 1.39 1.38 1.37 1.36 1.35 1.34 1.33
1.415 1.405 1.395 1.385 1.375 1.365 1.355 1.345 1.335
1.42 1.41 1.4 1.39 1.38 1.37 1.36 1.35 1.34
1.425 1.415 1.405 1.395 1.385 1.375 1.365 1.355 1.345
1.43 1.42 1.41 1.4 1.39 1.38 1.37 1.36 1.35
1.435 1.425 1.415 1.405 1.395 1.385 1.375 1.365 1.355
1.44 1.43 1.42 1.41 1.4 1.39 1.38 1.37 1.36
1.445 1.435 1.425 1.415 1.405 1.395 1.385 1.375 1.365
1.45 1.44 1.43 1.42 1.41 1.4 1.39 1.38 1.37
1.455 1.445 1.435 1.425 1.415 1.405 1.395 1.385 1.375
1.46 1.45 1.44 1.43 1.42 1.41 1.4 1.39 1.38
1.465 1.455 1.445 1.435 1.425 1.415 1.405 1.395 1.385
1.47 1.46 1.45 1.44 1.43 1.42 1.41 1.4 1.39
1.475 1.465 1.455 1.445 1.435 1.425 1.415 1.405 1.395
1.48 1.47 1.46 1.45 1.44 1.43 1.42 1.41 1.4
1.485 1.475 1.465 1.455 1.445 1.435 1.425 1.415 1.405
1.49 1.48 1.47 1.46 1.45 1.44 1.43 1.42 1.411.495 1.485 1.475
1.465 1.455 1.445 1.435 1.425 1.415
1.5 1.49 1.48 1.47 1.46 1.45 1.44 1.43 1.42
1.505 1.495 1.485 1.475 1.465 1.455 1.445 1.435 1.425
1.51 1.5 1.49 1.48 1.47 1.46 1.45 1.44 1.43
1.515 1.505 1.495 1.485 1.475 1.465 1.455 1.445 1.435
1.52 1.51 1.5 1.49 1.48 1.47 1.46 1.45 1.44
1.525 1.515 1.505 1.495 1.485 1.475 1.465 1.455 1.445
1.53 1.52 1.51 1.5 1.49 1.48 1.47 1.46 1.45
1.535 1.525 1.515 1.505 1.495 1.485 1.475 1.465 1.455
1.54 1.53 1.52 1.51 1.5 1.49 1.48 1.47 1.46
1.545 1.535 1.525 1.515 1.505 1.495 1.485 1.475 1.465
1.55 1.54 1.53 1.52 1.51 1.5 1.49 1.48 1.47
1.555 1.545 1.535 1.525 1.515 1.505 1.495 1.485 1.475
1.56 1.55 1.54 1.53 1.52 1.51 1.5 1.49 1.48
1.565 1.555 1.545 1.535 1.525 1.515 1.505 1.495 1.485
1.57 1.56 1.55 1.54 1.53 1.52 1.51 1.5 1.49
1.575 1.565 1.555 1.545 1.535 1.525 1.515 1.505 1.495
1.58 1.57 1.56 1.55 1.54 1.53 1.52 1.51 1.5
1.585 1.575 1.565 1.555 1.545 1.535 1.525 1.515 1.505
1.59 1.58 1.57 1.56 1.55 1.54 1.53 1.52 1.51
1.595 1.585 1.575 1.565 1.555 1.545 1.535 1.525 1.515
1.6 1.59 1.58 1.57 1.56 1.55 1.54 1.53 1.52
1.605 1.595 1.585 1.575 1.565 1.555 1.545 1.535 1.525
1.61 1.6 1.59 1.58 1.57 1.56 1.55 1.54 1.53
1.615 1.605 1.595 1.585 1.575 1.565 1.555 1.545 1.535
1.62 1.61 1.6 1.59 1.58 1.57 1.56 1.55 1.54
1.625 1.615 1.605 1.595 1.585 1.575 1.565 1.555 1.5451.63 1.62
1.61 1.6 1.59 1.58 1.57 1.56 1.55
1.635 1.625 1.615 1.605 1.595 1.585 1.575 1.565 1.555
1.64 1.63 1.62 1.61 1.6 1.59 1.58 1.57 1.56
1.645 1.635 1.625 1.615 1.605 1.595 1.585 1.575 1.565
1.65 1.64 1.63 1.62 1.61 1.6 1.59 1.58 1.57
1.655 1.645 1.635 1.625 1.615 1.605 1.595 1.585 1.575
1.66 1.65 1.64 1.63 1.62 1.61 1.6 1.59 1.58
1.665 1.655 1.645 1.635 1.625 1.615 1.605 1.595 1.585
-
7/29/2019 Excel spreadsheet to calculate potential energy of
magnetic slider on linear magnetic track and solve equation of
22/853
1.67 1.66 1.65 1.64 1.63 1.62 1.61 1.6 1.59
1.675 1.665 1.655 1.645 1.635 1.625 1.615 1.605 1.595
1.68 1.67 1.66 1.65 1.64 1.63 1.62 1.61 1.6
1.685 1.675 1.665 1.655 1.645 1.635 1.625 1.615 1.605
1.69 1.68 1.67 1.66 1.65 1.64 1.63 1.62 1.61
1.695 1.685 1.675 1.665 1.655 1.645 1.635 1.625 1.615
1.7 1.69 1.68 1.67 1.66 1.65 1.64 1.63 1.62
1.705 1.695 1.685 1.675 1.665 1.655 1.645 1.635 1.625
1.71 1.7 1.69 1.68 1.67 1.66 1.65 1.64 1.63
1.715 1.705 1.695 1.685 1.675 1.665 1.655 1.645 1.635
1.72 1.71 1.7 1.69 1.68 1.67 1.66 1.65 1.64
1.725 1.715 1.705 1.695 1.685 1.675 1.665 1.655 1.645
1.73 1.72 1.71 1.7 1.69 1.68 1.67 1.66 1.65
1.735 1.725 1.715 1.705 1.695 1.685 1.675 1.665 1.655
1.74 1.73 1.72 1.71 1.7 1.69 1.68 1.67 1.66
1.745 1.735 1.725 1.715 1.705 1.695 1.685 1.675 1.665
1.75 1.74 1.73 1.72 1.71 1.7 1.69 1.68 1.67
1.755 1.745 1.735 1.725 1.715 1.705 1.695 1.685 1.675
1.76 1.75 1.74 1.73 1.72 1.71 1.7 1.69 1.68
1.765 1.755 1.745 1.735 1.725 1.715 1.705 1.695 1.685
1.77 1.76 1.75 1.74 1.73 1.72 1.71 1.7 1.691.775 1.765 1.755
1.745 1.735 1.725 1.715 1.705 1.695
1.78 1.77 1.76 1.75 1.74 1.73 1.72 1.71 1.7
1.785 1.775 1.765 1.755 1.745 1.735 1.725 1.715 1.705
1.79 1.78 1.77 1.76 1.75 1.74 1.73 1.72 1.71
1.795 1.785 1.775 1.765 1.755 1.745 1.735 1.725 1.715
1.8 1.79 1.78 1.77 1.76 1.75 1.74 1.73 1.72
1.805 1.795 1.785 1.775 1.765 1.755 1.745 1.735 1.725
1.81 1.8 1.79 1.78 1.77 1.76 1.75 1.74 1.73
1.815 1.805 1.795 1.785 1.775 1.765 1.755 1.745 1.735
1.82 1.81 1.8 1.79 1.78 1.77 1.76 1.75 1.74
1.825 1.815 1.805 1.795 1.785 1.775 1.765 1.755 1.745
1.83 1.82 1.81 1.8 1.79 1.78 1.77 1.76 1.75
1.835 1.825 1.815 1.805 1.795 1.785 1.775 1.765 1.755
1.84 1.83 1.82 1.81 1.8 1.79 1.78 1.77 1.76
1.845 1.835 1.825 1.815 1.805 1.795 1.785 1.775 1.765
1.85 1.84 1.83 1.82 1.81 1.8 1.79 1.78 1.77
1.855 1.845 1.835 1.825 1.815 1.805 1.795 1.785 1.775
1.86 1.85 1.84 1.83 1.82 1.81 1.8 1.79 1.78
1.865 1.855 1.845 1.835 1.825 1.815 1.805 1.795 1.785
1.87 1.86 1.85 1.84 1.83 1.82 1.81 1.8 1.79
1.875 1.865 1.855 1.845 1.835 1.825 1.815 1.805 1.795
1.88 1.87 1.86 1.85 1.84 1.83 1.82 1.81 1.8
1.885 1.875 1.865 1.855 1.845 1.835 1.825 1.815 1.805
1.89 1.88 1.87 1.86 1.85 1.84 1.83 1.82 1.81
1.895 1.885 1.875 1.865 1.855 1.845 1.835 1.825 1.815
1.9 1.89 1.88 1.87 1.86 1.85 1.84 1.83 1.82
1.905 1.895 1.885 1.875 1.865 1.855 1.845 1.835 1.8251.91 1.9
1.89 1.88 1.87 1.86 1.85 1.84 1.83
1.915 1.905 1.895 1.885 1.875 1.865 1.855 1.845 1.835
1.92 1.91 1.9 1.89 1.88 1.87 1.86 1.85 1.84
1.925 1.915 1.905 1.895 1.885 1.875 1.865 1.855 1.845
1.93 1.92 1.91 1.9 1.89 1.88 1.87 1.86 1.85
1.935 1.925 1.915 1.905 1.895 1.885 1.875 1.865 1.855
1.94 1.93 1.92 1.91 1.9 1.89 1.88 1.87 1.86
1.945 1.935 1.925 1.915 1.905 1.895 1.885 1.875 1.865
-
7/29/2019 Excel spreadsheet to calculate potential energy of
magnetic slider on linear magnetic track and solve equation of
23/853
1.95 1.94 1.93 1.92 1.91 1.9 1.89 1.88 1.87
1.955 1.945 1.935 1.925 1.915 1.905 1.895 1.885 1.875
1.96 1.95 1.94 1.93 1.92 1.91 1.9 1.89 1.88
1.965 1.955 1.945 1.935 1.925 1.915 1.905 1.895 1.885
1.97 1.96 1.95 1.94 1.93 1.92 1.91 1.9 1.89
1.975 1.965 1.955 1.945 1.935 1.925 1.915 1.905 1.895
1.98 1.97 1.96 1.95 1.94 1.93 1.92 1.91 1.9
1.985 1.975 1.965 1.955 1.945 1.935 1.925 1.915 1.905
1.99 1.98 1.97 1.96 1.95 1.94 1.93 1.92 1.91
1.995 1.985 1.975 1.965 1.955 1.945 1.935 1.925 1.915
2 1.99 1.98 1.97 1.96 1.95 1.94 1.93 1.92
2.005 1.995 1.985 1.975 1.965 1.955 1.945 1.935 1.925
2.01 2 1.99 1.98 1.97 1.96 1.95 1.94 1.93
2.015 2.005 1.995 1.985 1.975 1.965 1.955 1.945 1.935
2.02 2.01 2 1.99 1.98 1.97 1.96 1.95 1.94
2.025 2.015 2.005 1.995 1.985 1.975 1.965 1.955 1.945
2.03 2.02 2.01 2 1.99 1.98 1.97 1.96 1.95
2.035 2.025 2.015 2.005 1.995 1.985 1.975 1.965 1.955
2.04 2.03 2.02 2.01 2 1.99 1.98 1.97 1.96
2.045 2.035 2.025 2.015 2.005 1.995 1.985 1.975 1.965
2.05 2.04 2.03 2.02 2.01 2 1.99 1.98 1.972.055 2.045 2.035 2.025
2.015 2.005 1.995 1.985 1.975
2.06 2.05 2.04 2.03 2.02 2.01 2 1.99 1.98
2.065 2.055 2.045 2.035 2.025 2.015 2.005 1.995 1.985
2.07 2.06 2.05 2.04 2.03 2.02 2.01 2 1.99
2.075 2.065 2.055 2.045 2.035 2.025 2.015 2.005 1.995
2.08 2.07 2.06 2.05 2.04 2.03 2.02 2.01 2
2.085 2.075 2.065 2.055 2.045 2.035 2.025 2.015 2.005
2.09 2.08 2.07 2.06 2.05 2.04 2.03 2.02 2.01
2.095 2.085 2.075 2.065 2.055 2.045 2.035 2.025 2.015
2.1 2.09 2.08 2.07 2.06 2.05 2.04 2.03 2.02
2.105 2.095 2.085 2.075 2.065 2.055 2.045 2.035 2.025
2.11 2.1 2.09 2.08 2.07 2.06 2.05 2.04 2.03
2.115 2.105 2.095 2.085 2.075 2.065 2.055 2.045 2.035
2.12 2.11 2.1 2.09 2.08 2.07 2.06 2.05 2.04
2.125 2.115 2.105 2.095 2.085 2.075 2.065 2.055 2.045
2.13 2.12 2.11 2.1 2.09 2.08 2.07 2.06 2.05
2.135 2.125 2.115 2.105 2.095 2.085 2.075 2.065 2.055
2.14 2.13 2.12 2.11 2.1 2.09 2.08 2.07 2.06
2.145 2.135 2.125 2.115 2.105 2.095 2.085 2.075 2.065
2.15 2.14 2.13 2.12 2.11 2.1 2.09 2.08 2.07
2.155 2.145 2.135 2.125 2.115 2.105 2.095 2.085 2.075
2.16 2.15 2.14 2.13 2.12 2.11 2.1 2.09 2.08
2.165 2.155 2.145 2.135 2.125 2.115 2.105 2.095 2.085
2.17 2.16 2.15 2.14 2.13 2.12 2.11 2.1 2.09
2.175 2.165 2.155 2.145 2.135 2.125 2.115 2.105 2.095
2.18 2.17 2.16 2.15 2.14 2.13 2.12 2.11 2.1
2.185 2.175 2.165 2.155 2.145 2.135 2.125 2.115 2.1052.19 2.18
2.17 2.16 2.15 2.14 2.13 2.12 2.11
2.195 2.185 2.175 2.165 2.155 2.145 2.135 2.125 2.115
2.2 2.19 2.18 2.17 2.16 2.15 2.14 2.13 2.12
2.205 2.195 2.185 2.175 2.165 2.155 2.145 2.135 2.125
2.21 2.2 2.19 2.18 2.17 2.16 2.15 2.14 2.13
2.215 2.205 2.195 2.185 2.175 2.165 2.155 2.145 2.135
2.22 2.21 2.2 2.19 2.18 2.17 2.16 2.15 2.14
2.225 2.215 2.205 2.195 2.185 2.175 2.165 2.155 2.145
-
7/29/2019 Excel spreadsheet to calculate potential energy of
magnetic slider on linear magnetic track and solve equation of
24/853
2.23 2.22 2.21 2.2 2.19 2.18 2.17 2.16 2.15
2.235 2.225 2.215 2.205 2.195 2.185 2.175 2.165 2.155
2.24 2.23 2.22 2.21 2.2 2.19 2.18 2.17 2.16
2.245 2.235 2.225 2.215 2.205 2.195 2.185 2.175 2.165
2.25 2.24 2.23 2.22 2.21 2.2 2.19 2.18 2.17
2.255 2.245 2.235 2.225 2.215 2.205 2.195 2.185 2.175
2.26 2.25 2.24 2.23 2.22 2.21 2.2 2.19 2.18
2.265 2.255 2.245 2.235 2.225 2.215 2.205 2.195 2.185
2.27 2.26 2.25 2.24 2.23 2.22 2.21 2.2 2.19
2.275 2.265 2.255 2.245 2.235 2.225 2.215 2.205 2.195
2.28 2.27 2.26 2.25 2.24 2.23 2.22 2.21 2.2
2.285 2.275 2.265 2.255 2.245 2.235 2.225 2.215 2.205
2.29 2.28 2.27 2.26 2.25 2.24 2.23 2.22 2.21
2.295 2.285 2.275 2.265 2.255 2.245 2.235 2.225 2.215
2.3 2.29 2.28 2.27 2.26 2.25 2.24 2.23 2.22
2.305 2.295 2.285 2.275 2.265 2.255 2.245 2.235 2.225
2.31 2.3 2.29 2.28 2.27 2.26 2.25 2.24 2.23
2.315 2.305 2.295 2.285 2.275 2.265 2.255 2.245 2.235
2.32 2.31 2.3 2.29 2.28 2.27 2.26 2.25 2.24
2.325 2.315 2.305 2.295 2.285 2.275 2.265 2.255 2.245
2.33 2.32 2.31 2.3 2.29 2.28 2.27 2.26 2.252.335 2.325 2.315
2.305 2.295 2.285 2.275 2.265 2.255
2.34 2.33 2.32 2.31 2.3 2.29 2.28 2.27 2.26
2.345 2.335 2.325 2.315 2.305 2.295 2.285 2.275 2.265
2.35 2.34 2.33 2.32 2.31 2.3 2.29 2.28 2.27
2.355 2.345 2.335 2.325 2.315 2.305 2.295 2.285 2.275
2.36 2.35 2.34 2.33 2.32 2.31 2.3 2.29 2.28
2.365 2.355 2.345 2.335 2.325 2.315 2.305 2.295 2.285
2.37 2.36 2.35 2.34 2.33 2.32 2.31 2.3 2.29
2.375 2.365 2.355 2.345 2.335 2.325 2.315 2.305 2.295
2.38 2.37 2.36 2.35 2.34 2.33 2.32 2.31 2.3
2.385 2.375 2.365 2.355 2.345 2.335 2.325 2.315 2.305
2.39 2.38 2.37 2.36 2.35 2.34 2.33 2.32 2.31
2.395 2.385 2.375 2.365 2.355 2.345 2.335 2.325 2.315
2.4 2.39 2.38 2.37 2.36 2.35 2.34 2.33 2.32
2.405 2.395 2.385 2.375 2.365 2.355 2.345 2.335 2.325
2.41 2.4 2.39 2.38 2.37 2.36 2.35 2.34 2.33
2.415 2.405 2.395 2.385 2.375 2.365 2.355 2.345 2.335
2.42 2.41 2.4 2.39 2.38 2.37 2.36 2.35 2.34
2.425 2.415 2.405 2.395 2.385 2.375 2.365 2.355 2.345
2.43 2.42 2.41 2.4 2.39 2.38 2.37 2.36 2.35
2.435 2.425 2.415 2.405 2.395 2.385 2.375 2.365 2.355
2.44 2.43 2.42 2.41 2.4 2.39 2.38 2.37 2.36
2.445 2.435 2.425 2.415 2.405 2.395 2.385 2.375 2.365
2.45 2.44 2.43 2.42 2.41 2.4 2.39 2.38 2.37
2.455 2.445 2.435 2.425 2.415 2.405 2.395 2.385 2.375
2.46 2.45 2.44 2.43 2.42 2.41 2.4 2.39 2.38
2.465 2.455 2.445 2.435 2.425 2.415 2.405 2.395 2.3852.47 2.46
2.45 2.44 2.43 2.42 2.41 2.4 2.39
2.475 2.465 2.455 2.445 2.435 2.425 2.415 2.405 2.395
2.48 2.47 2.46 2.45 2.44 2.43 2.42 2.41 2.4
2.485 2.475 2.465 2.455 2.445 2.435 2.425 2.415 2.405
2.49 2.48 2.47 2.46 2.45 2.44 2.43 2.42 2.41
2.495 2.485 2.475 2.465 2.455 2.445 2.435 2.425 2.415
2.5 2.49 2.48 2.47 2.46 2.45 2.44 2.43 2.42
2.505 2.495 2.485 2.475 2.465 2.455 2.445 2.435 2.425
-
7/29/2019 Excel spreadsheet to calculate potential energy of
magnetic slider on linear magnetic track and solve equation of
25/853
2.51 2.5 2.49 2.48 2.47 2.46 2.45 2.44 2.43
2.515 2.505 2.495 2.485 2.475 2.465 2.455 2.445 2.435
2.52 2.51 2.5 2.49 2.48 2.47 2.46 2.45 2.44
2.525 2.515 2.505 2.495 2.485 2.475 2.465 2.455 2.445
2.53 2.52 2.51 2.5 2.49 2.48 2.47 2.46 2.45
2.535 2.525 2.515 2.505 2.495 2.485 2.475 2.465 2.455
2.54 2.53 2.52 2.51 2.5 2.49 2.48 2.47 2.46
2.545 2.535 2.525 2.515 2.505 2.495 2.485 2.475 2.465
2.55 2.54 2.53 2.52 2.51 2.5 2.49 2.48 2.47
2.555 2.545 2.535 2.525 2.515 2.505 2.495 2.485 2.475
2.56 2.55 2.54 2.53 2.52 2.51 2.5 2.49 2.48
2.565 2.555 2.545 2.535 2.525 2.515 2.505 2.495 2.485
2.57 2.56 2.55 2.54 2.53 2.52 2.51 2.5 2.49
2.575 2.565 2.555 2.545 2.535 2.525 2.515 2.505 2.495
2.58 2.57 2.56 2.55 2.54 2.53 2.52 2.51 2.5
2.585 2.575 2.565 2.555 2.545 2.535 2.525 2.515 2.505
2.59 2.58 2.57 2.56 2.55 2.54 2.53 2.52 2.51
2.595 2.585 2.575 2.565 2.555 2.545 2.535 2.525 2.515
2.6 2.59 2.58 2.57 2.56 2.55 2.54 2.53 2.52
2.605 2.595 2.585 2.575 2.565 2.555 2.545 2.535 2.525
2.61 2.6 2.59 2.58 2.57 2.56 2.55 2.54 2.532.615 2.605 2.595
2.585 2.575 2.565 2.555 2.545 2.535
2.62 2.61 2.6 2.59 2.58 2.57 2.56 2.55 2.54
2.625 2.615 2.605 2.595 2.585 2.575 2.565 2.555 2.545
2.63 2.62 2.61 2.6 2.59 2.58 2.57 2.56 2.55
2.635 2.625 2.615 2.605 2.595 2.585 2.575 2.565 2.555
2.64 2.63 2.62 2.61 2.6 2.59 2.58 2.57 2.56
2.645 2.635 2.625 2.615 2.605 2.595 2.585 2.575 2.565
2.65 2.64 2.63 2.62 2.61 2.6 2.59 2.58 2.57
2.655 2.645 2.635 2.625 2.615 2.605 2.595 2.585 2.575
2.66 2.65 2.64 2.63 2.62 2.61 2.6 2.59 2.58
2.665 2.655 2.645 2.635 2.625 2.615 2.605 2.595 2.585
2.67 2.66 2.65 2.64 2.63 2.62 2.61 2.6 2.59
2.675 2.665 2.655 2.645 2.635 2.625 2.615 2.605 2.595
2.68 2.67 2.66 2.65 2.64 2.63 2.62 2.61 2.6
2.685 2.675 2.665 2.655 2.645 2.635 2.625 2.615 2.605
2.69 2.68 2.67 2.66 2.65 2.64 2.63 2.62 2.61
2.695 2.685 2.675 2.665 2.655 2.645 2.635 2.625 2.615
2.7 2.69 2.68 2.67 2.66 2.65 2.64 2.63 2.62
2.705 2.695 2.685 2.675 2.665 2.655 2.645 2.635 2.625
2.71 2.7 2.69 2.68 2.67 2.66 2.65 2.64 2.63
2.715 2.705 2.695 2.685 2.675 2.665 2.655 2.645 2.635
2.72 2.71 2.7 2.69 2.68 2.67 2.66 2.65 2.64
2.725 2.715 2.705 2.695 2.685 2.675 2.665 2.655 2.645
2.73 2.72 2.71 2.7 2.69 2.68 2.67 2.66 2.65
2.735 2.725 2.715 2.705 2.695 2.685 2.675 2.665 2.655
2.74 2.73 2.72 2.71 2.7 2.69 2.68 2.67 2.66
2.745 2.735 2.725 2.715 2.705 2.695 2.685 2.675 2.6652.75 2.74
2.73 2.72 2.71 2.7 2.69 2.68 2.67
2.755 2.745 2.735 2.725 2.715 2.705 2.695 2.685 2.675
2.76 2.75 2.74 2.73 2.72 2.71 2.7 2.69 2.68
2.765 2.755 2.745 2.735 2.725 2.715 2.705 2.695 2.685
2.77 2.76 2.75 2.74 2.73 2.72 2.71 2.7 2.69
2.775 2.765 2.755 2.745 2.735 2.725 2.715 2.705 2.695
2.78 2.77 2.76 2.75 2.74 2.73 2.72 2.71 2.7
2.785 2.775 2.765 2.755 2.745 2.735 2.725 2.715 2.705
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2.79 2.78 2.77 2.76 2.75 2.74 2.73 2.72 2.71
2.795 2.785 2.775 2.765 2.755 2.745 2.735 2.725 2.715
2.8 2.79 2.78 2.77 2.76 2.75 2.74 2.73 2.72
2.805 2.795 2.785 2.775 2.765 2.755 2.745 2.735 2.725
2.81 2.8 2.79 2.78 2.77 2.76 2.75 2.74 2.73
2.815 2.805 2.795 2.785 2.775 2.765 2.755 2.745 2.735
2.82 2.81 2.8 2.79 2.78 2.77 2.76 2.75 2.74
2.825 2.815 2.805 2.795 2.785 2.775 2.765 2.755 2.745
2.83 2.82 2.81 2.8 2.79 2.78 2.77 2.76 2.75
2.835 2.825 2.815 2.805 2.795 2.785 2.775 2.765 2.755
2.84 2.83 2.82 2.81 2.8 2.79 2.78 2.77 2.76
2.845 2.835 2.825 2.815 2.805 2.795 2.785 2.775 2.765
2.85 2.84 2.83 2.82 2.81 2.8 2.79 2.78 2.77
2.855 2.845 2.835 2.825 2.815 2.805 2.795 2.785 2.775
2.86 2.85 2.84 2.83 2.82 2.81 2.8 2.79 2.78
2.865 2.855 2.845 2.835 2.825 2.815 2.805 2.795 2.785
2.87 2.86 2.85 2.84 2.83 2.82 2.81 2.8 2.79
2.875 2.865 2.855 2.845 2.835 2.825 2.815 2.805 2.795
2.88 2.87 2.86 2.85 2.84 2.83 2.82 2.81 2.8
2.885 2.875 2.865 2.855 2.845 2.835 2.825 2.815 2.805
2.89 2.88 2.87 2.86 2.85 2.84 2.83 2.82 2.812.895 2.885 2.875
2.865 2.855 2.845 2.835 2.825 2.815
2.9 2.89 2.88 2.87 2.86 2.85 2.84 2.83 2.82
2.905 2.895 2.885 2.875 2.865 2.855 2.845 2.835 2.825
2.91 2.9 2.89 2.88 2.87 2.86 2.85 2.84 2.83
2.915 2.905 2.895 2.885 2.875 2.865 2.855 2.845 2.835
2.92 2.91 2.9 2.89 2.88 2.87 2.86 2.85 2.84
2.925 2.915 2.905 2.895 2.885 2.875 2.865 2.855 2.845
2.93 2.92 2.91 2.9 2.89 2.88 2.87 2.86 2.85
2.935 2.925 2.915 2.905 2.895 2.885 2.875 2.865 2.855
2.94 2.93 2.92 2.91 2.9 2.89 2.88 2.87 2.86
2.945 2.935 2.925 2.915 2.905 2.895 2.885 2.875 2.865
2.95 2.94 2.93 2.92 2.91 2.9 2.89 2.88 2.87
2.955 2.945 2.935 2.925 2.915 2.905 2.895 2.885 2.875
2.96 2.95 2.94 2.93 2.92 2.91 2.9 2.89 2.88
2.965 2.955 2.945 2.935 2.925 2.915 2.905 2.895 2.885
2.97 2.96 2.95 2.94 2.93 2.92 2.91 2.9 2.89
2.975 2.965 2.955 2.945 2.935 2.925 2.915 2.905 2.895
2.98 2.97 2.96 2.95 2.94 2.93 2.92 2.91 2.9
2.985 2.975 2.965 2.955 2.945 2.935 2.925 2.915 2.905
2.99 2.98 2.97 2.96 2.95 2.94 2.93 2.92 2.91
2.995 2.985 2.975 2.965 2.955 2.945 2.935 2.925 2.915
3 2.99 2.98 2.97 2.96 2.95 2.94 2.93 2.92
3.005 2.995 2.985 2.975 2.965 2.955 2.945 2.935 2.925
3.01 3 2.99 2.98 2.97 2.96 2.95 2.94 2.93
3.015 3.005 2.995 2.985 2.975 2.965 2.955 2.945 2.935
3.02 3.01 3 2.99 2.98 2.97 2.96 2.95 2.94
3.025 3.015 3.005 2.995 2.985 2.975 2.965 2.955 2.9453.03 3.02
3.01 3 2.99 2.98 2.97 2.96 2.95
3.035 3.025 3.015 3.005 2.995 2.985 2.975 2.965 2.955
3.04 3.03 3.02 3.01 3 2.99 2.98 2.97 2.96
3.045 3.035 3.025 3.015 3.005 2.995 2.985 2.975 2.965
3.05 3.04 3.03 3.02 3.01 3 2.99 2.98 2.97
3.055 3.045 3.035 3.025 3.015 3.005 2.995 2.985 2.975
3.06 3.05 3.04 3.03 3.02 3.01 3 2.99 2.98
3.065 3.055 3.045 3.035 3.025 3.015 3.005 2.995 2.985
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3.07 3.06 3.05 3.04 3.03 3.02 3.01 3 2.99
3.075 3.065 3.055 3.045 3.035 3.025 3.015 3.005 2.995
3.08 3.07 3.06 3.05 3.04 3.03 3.02 3.01 3
3.085 3.075 3.065 3.055 3.045 3.035 3.025 3.015 3.005
3.09 3.08 3.07 3.06 3.05 3.04 3.03 3.02 3.01
3.095 3.085 3.075 3.065 3.055 3.045 3.035 3.025 3.015
3.1 3.09 3.08 3.07 3.06 3.05 3.04 3.03 3.02
3.105 3.095 3.085 3.075 3.065 3.055 3.045 3.035 3.025
3.11 3.1 3.09 3.08 3.07 3.06 3.05 3.04 3.03
3.115 3.105 3.095 3.085 3.075 3.065 3.055 3.045 3.035
3.12 3.11 3.1 3.09 3.08 3.07 3.06 3.05 3.04
3.125 3.115 3.105 3.095 3.085 3.075 3.065 3.055 3.045
3.13 3.12 3.11 3.1 3.09 3.08 3.07 3.06 3.05
3.135 3.125 3.115 3.105 3.095 3.085 3.075 3.065 3.055
3.14 3.13 3.12 3.11 3.1 3.09 3.08 3.07 3.06
3.145 3.135 3.125 3.115 3.105 3.095 3.085 3.075 3.065
3.15 3.14 3.13 3.12 3.11 3.1 3.09 3.08 3.07
3.155 3.145 3.135 3.125 3.115 3.105 3.095 3.085 3.075
3.16 3.15 3.14 3.13 3.12 3.11 3.1 3.09 3.08
3.165 3.155 3.145 3.135 3.125 3.115 3.105 3.095 3.085
3.17 3.16 3.15 3.14 3.13 3.12 3.11 3.1 3.093.175 3.165 3.155
3.145 3.135 3.125 3.115 3.105 3.095
3.18 3.17 3.16 3.15 3.14 3.13 3.12 3.11 3.1
3.185 3.175 3.165 3.155 3.145 3.135 3.125 3.115 3.105
3.19 3.18 3.17 3.16 3.15 3.14 3.13 3.12 3.11
3.195 3.185 3.175 3.165 3.155 3.145 3.135 3.125 3.115
3.2 3.19 3.18 3.17 3.16 3.15 3.14 3.13 3.12
3.205 3.195 3.185 3.175 3.165 3.155 3.145 3.135 3.125
3.21 3.2 3.19 3.18 3.17 3.16 3.15 3.14 3.13
3.215 3.205 3.195 3.185 3.175 3.165 3.155 3.145 3.135
3.22 3.21 3.2 3.19 3.18 3.17 3.16 3.15 3.14
3.225 3.215 3.205 3.195 3.185 3.175 3.165 3.155 3.145
3.23 3.22 3.21 3.2 3.19 3.18 3.17 3.16 3.15
3.235 3.225 3.215 3.205 3.195 3.185 3.175 3.165 3.155
3.24 3.23 3.22 3.21 3.2 3.19 3.18 3.17 3.16
3.245 3.235 3.225 3.215 3.205 3.195 3.185 3.175 3.165
3.25 3.24 3.23 3.22 3.21 3.2 3.19 3.18 3.17
3.255 3.245 3.235 3.225 3.215 3.205 3.195 3.185 3.175
3.26 3.25 3.24 3.23 3.22 3.21 3.2 3.19 3.18
3.265 3.255 3.245 3.235 3.225 3.215 3.205 3.195 3.185
3.27 3.26 3.25 3.24 3.23 3.22 3.21 3.2 3.19
3.275 3.265 3.255 3.245 3.235 3.225 3.215 3.205 3.195
3.28 3.27 3.26 3.25 3.24 3.23 3.22 3.21 3.2
3.285 3.275 3.265 3.255 3.245 3.235 3.225 3.215 3.205
3.29 3.28 3.27 3.26 3.25 3.24 3.23 3.22 3.21
3.295 3.285 3.275 3.265 3.255 3.245 3.235 3.225 3.215
3.3 3.29 3.28 3.27 3.26 3.25 3.24 3.23 3.22
3.305 3.295 3.285 3.275 3.265 3.255 3.245 3.235 3.2253.31 3.3
3.29 3.28 3.27 3.26 3.25 3.24 3.23
3.315 3.305 3.295 3.285 3.275 3.265 3.255 3.245 3.235
3.32 3.31 3.3 3.29 3.28 3.27 3.26 3.25 3.24
3.325 3.315 3.305 3.295 3.285 3.275 3.265 3.255 3.245
3.33 3.32 3.31 3.3 3.29 3.28 3.27 3.26 3.25
3.335 3.325 3.315 3.305 3.295 3.285 3.275 3.265 3.255
3.34 3.33 3.32 3.31 3.3 3.29 3.28 3.27 3.26
3.345 3.335 3.325 3.315 3.305 3.295 3.285 3.275 3.265
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3.35 3.34 3.33 3.32 3.31 3.3 3.29 3.28 3.27
3.355 3.345 3.335 3.325 3.315 3.305 3.295 3.285 3.275
3.36 3.35 3.34 3.33 3.32 3.31 3.3 3.29 3.28
3.365 3.355 3.345 3.335 3.325 3.315 3.305 3.295 3.285
3.37 3.36 3.35 3.34 3.33 3.32 3.31 3.3 3.29
3.375 3.365 3.355 3.345 3.335 3.325 3.315 3.305 3.295
3.38 3.37 3.36 3.35 3.34 3.33 3.32 3.31 3.3
3.385 3.375 3.365 3.355 3.345 3.335 3.325 3.315 3.305
3.39 3.38 3.37 3.36 3.35 3.34 3.33 3.32 3.31
3.395 3.385 3.375 3.365 3.355 3.345 3.335 3.325 3.315
3.4 3.39 3.38 3.37 3.36 3.35 3.34 3.33 3.32
3.405 3.395 3.385 3.375 3.365 3.355 3.345 3.335 3.325
3.41 3.4 3.39 3.38 3.37 3.36 3.35 3.34 3.33
3.415 3.405 3.395 3.385 3.375 3.365 3.355 3.345 3.335
3.42 3.41 3.4 3.39 3.38 3.37 3.36 3.35 3.34
3.425 3.415 3.405 3.395 3.385 3.375 3.365 3.355 3.345
3.43 3.42 3.41 3.4 3.39 3.38 3.37 3.36 3.35
3.435 3.425 3.415 3.405 3.395 3.385 3.375 3.365 3.355
3.44 3.43 3.42 3.41 3.4 3.39 3.38 3.37 3.36
3.445 3.435 3.425 3.415 3.405 3.395 3.385 3.375 3.365
3.45 3.44 3.43 3.42 3.41 3.4 3.39 3.38 3.37
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7/29/2019 Excel spreadsheet to calculate potential energy of
magnetic slider on linear magnetic track and solve equation of
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x-10l x-11l x-12l x-13l x-14l x-15l x-16l x-17l x-18l
-0.3 -0.31 -0.32 -0.33 -0.34 -0.35 -0.36 -0.37 -0.38
-0.295 -0.305 -0.315 -0.325 -0.335 -0.345 -0.355 -0.365
-0.375
-0.29 -0.3 -0.31 -0.32 -0.33 -0.34 -0.35 -0.36 -0.37
-0.285 -0.295 -0.305 -0.315 -0.325 -0.335 -0.345 -0.355
-0.365
-0.28 -0.29 -0.3 -0.31 -0.32 -0.33 -0.34 -0.35 -0.36-0.275
-0.285 -0.295 -0.305 -0.315 -0.325 -0.335 -0.345 -0.355
-0.27 -0.28 -0.29 -0.3 -0.31 -0.32 -0.33 -0.34 -0.35
-0.265 -0.275 -0.285 -0.295 -0.305 -0.315 -0.325 -0.335
-0.345
-0.26 -0.27 -0.28 -0.29 -0.3 -0.31 -0.32 -0.33 -0.34
-0.255 -0.265 -0.275 -0.285 -0.295 -0.305 -0.315 -0.325
-0.335
-0.25 -0.26 -0.27 -0.28 -0.29 -0.3 -0.31 -0.32 -0.33
-0.245 -0.255 -0.265 -0.275 -0.285 -0.295 -0.305 -0.315
-0.325
-0.24 -0.25 -0.26 -0.27 -0.28 -0.29 -0.3 -0.31 -0.32
-0.235 -0.245 -0.255 -0.265 -0.275 -0.285 -0.295 -0.305
-0.315
-0.23 -0.24 -0.25 -0.26 -0.27 -0.28 -0.29 -0.3 -0.31
-0.225 -0.235 -0.245 -0.255 -0.265 -0.275 -0.285 -0.295
-0.305
-0.22 -0.23 -0.24 -0.25 -0.26 -0.27 -0.28 -0.29 -0.3
-0.215 -0.225 -0.235 -0.245 -0.255 -0.265 -0.275 -0.285
-0.295
-0.21 -0.22 -0.23 -0.24 -0.25 -0.26 -0.27 -0.28 -0.29
-0.205 -0.215 -0.225 -0.235 -0.245 -0.255 -0.265 -0.275
-0.285
-0.2 -0.21 -0.22 -0.23 -0.24 -0.25 -0.26 -0.27 -0.28
-0.195 -0.205 -0.215 -0.225 -0.235 -0.245 -0.255 -0.265
-0.275
-0.19 -0.2 -0.21 -0.22 -0.23 -0.24 -0.25 -0.26 -0.27
-0.185 -0.195 -0.205 -0.215 -0.225 -0.235 -0.245 -0.255
-0.265
-0.18 -0.19 -0.2 -0.21 -0.22 -0.23 -0.24 -0.25 -0.26
-0.175 -0.185 -0.195 -0.205 -0.215 -0.225 -0.235 -0.245
-0.255
-0.17 -0.18 -0.19 -0.2 -0.21 -0.22 -0.23 -0.24 -0.25
-0.165 -0.175 -0.185 -0.195 -0.205 -0.215 -0.225 -0.235
-0.245
-0.16 -0.17 -0.18 -0.19 -0.2 -0.21 -0.22 -0.23 -0.24
-0.155 -0.165 -0.175 -0.185 -0.195 -0.205 -0.215 -0.225
-0.235
-0.15 -0.16 -0.17 -0.18 -0.19 -0.2 -0.21 -0.22 -0.23
-0.145 -0.155 -0.165 -0.175 -0.185 -0.195 -0.205 -0.215
-0.225-0.14 -0.15 -0.16 -0.17 -0.18 -0.19 -0.2 -0.21 -0.22
-0.135 -0.145 -0.155 -0.165 -0.175 -0.185 -0.195 -0.205
-0.215
-0.13 -0.14 -0.15 -0.16 -0.17 -0.18 -0.19 -0.2 -0.21
-0.125 -0.135 -0.145 -0.155 -0.165 -0.175 -0.185 -0.195
-0.205
-0.12 -0.13 -0.14 -0.15 -0.16 -0.17 -0.18 -0.19 -0.2
-0.115 -0.125 -0.135 -0.145 -0.155 -0.165 -0.175 -0.185
-0.195
-0.11 -0.12 -0.13 -0.14 -0.15 -0.16 -0.17 -0.18 -0.19
-0.105 -0.115 -0.125 -0.135 -0.145 -0.155 -0.165 -0.175
-0.185
3 0.4 0.5
acceleration
0.3 0.4 0.5
PE
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7/29/2019 Excel spreadsheet to calculate potential energy of
magnetic slider on linear magnetic track and solve equation of
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-0.1 -0.11 -0.12 -0.13 -0.14 -0.15 -0.16 -0.17 -0.18
-0.095 -0.105 -0.115 -0.125 -0.135 -0.145 -0.155 -0.165
-0.175
-0.09 -0.1 -0.11 -0.12 -0.13 -0.14 -0.15 -0.16 -0.17
-0.085 -0.095 -0.105 -0.115 -0.125 -0.135 -0.145 -0.155
-0.165
-0.08 -0.09 -0.1 -0.11 -0.12 -0.13 -0.14 -0.15 -0.16
-0.075 -0.085 -0.095 -0.105 -0.115 -0.125 -0.135 -0.145
-0.155
-0.07 -0.08 -0.09 -0.1 -0.11 -0.12 -0.13 -0.14 -0.15
-0.065 -0.075 -0.085 -0.095 -0.105 -0.115 -0.125 -0.135
-0.145
-0.06 -0.07 -0.08 -0.09 -0.1 -0.11 -0.12 -0.13 -0.14
-0.055 -0.065 -0.075 -0.085 -0.095 -0.105 -0.115 -0.125
-0.135
-0.05 -0.06 -0.07 -0.08 -0.09 -0.1 -0.11 -0.12 -0.13
-0.045 -0.055 -0.065 -0.075 -0.085 -0.095 -0.105 -0.115
-0.125
-0.04 -0.05 -0.06 -0.07 -0.08 -0.09 -0.1 -0.11 -0.12
-0.035 -0.045 -0.055 -0.065 -0.075 -0.085 -0.095 -0.105
-0.115
-0.03 -0.04 -0.05 -0.06 -0.07 -0.08 -0.09 -0.1 -0.11
-0.025 -0.035 -0.045 -0.055 -0.065 -0.075 -0.085 -0.095
-0.105
-0.02 -0.03 -0.04 -0.05 -0.06 -0.07 -0.08 -0.09 -0.1
-0.015 -0.025 -0.035 -0.045 -0.055 -0.065 -0.075 -0.085
-0.095
-0.01 -0.02 -0.03 -0.04 -0.05 -0.06 -0.07 -0.08 -0.09
-0.005 -0.015 -0.025 -0.035 -0.045 -0.055 -0.065 -0.075
-0.085
1.21E-16 -0.01 -0.02 -0.03 -0.04 -0.05 -0.06 -0.07 -0.080.005
-0.005 -0.015 -0.025 -0.035 -0.045 -0.055 -0.065 -0.075
0.01 1.35E-16 -0.01 -0.02 -0.03 -0.04 -0.05 -0.06 -0.07
0.015 0.005 -0.005 -0.015 -0.025 -0.035 -0.045 -0.055 -0.065
0.02 0.01 1.49E-16 -0.01 -0.02 -0.03 -0.04 -0.05 -0.06
0.025 0.015 0.005 -0.005 -0.015 -0.025 -0.035 -0.045 -0.055
0.03 0.02 0.01 1.63E-16 -0.01 -0.02 -0.03 -0.04 -0.05
0.035 0.025 0.015 0.005 -0.005 -0.015 -0.025 -0.035 -0.045
0.04 0.03 0.02 0.01 1.63E-16 -0.01 -0.02 -0.03 -0.04
0.045 0.035 0.025 0.015 0.005 -0.005 -0.015 -0.025 -0.035
0.05 0.04 0.03 0.02 0.01 1.63E-16 -0.01 -0.02 -0.03
0.055 0.045 0.035 0.025 0.015 0.005 -0.005 -0.015 -0.025
0.06 0.05 0.04 0.03 0.02 0.01 1.63E-16 -0.01 -0.02
0.065 0.055 0.045 0.035 0.025 0.015 0.005 -0.005 -0.015
0.07 0.06 0.05 0.04 0.03 0.02 0.01 1.63E-16 -0.01
0.075 0.065 0.055 0.045 0.035 0.025 0.015 0.005 -0.005
0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.01 1.63E-16
0.085 0.075 0.065 0.055 0.045 0.035 0.025 0.015 0.005
0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.01
0.095 0.085 0.075 0.065 0.055 0.045 0.035 0.025 0.015
0.1 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02
0.105 0.095 0.085 0.075 0.065 0.055 0.045 0.035 0.025
0.11 0.1 0.09 0.08 0.07 0.06 0.05 0.04 0.03
0.115 0.105 0.095 0.085 0.075 0.065 0.055 0.045 0.035
0.12 0.11 0.1 0.09 0.08 0.07 0.06 0.05 0.04
0.125 0.115 0.105 0.095 0.085 0.075 0.065 0.055 0.045
0.13 0.12 0.11 0.1 0.09 0.08 0.07 0.06 0.05
0.135 0.125 0.115 0.105 0.095 0.085 0.075 0.065 0.0550.14 0.13
0.12 0.11 0.1 0.09 0.08 0.07 0.06
0.145 0.135 0.125 0.115 0.105 0.095 0.085 0.075 0.065
0.15 0.14 0.13 0.12 0.11 0.1 0.09 0.08 0.07
0.155 0.145 0.135 0.125 0.115 0.105 0.095 0.085 0.075
0.16 0.15 0.14 0.13 0.12 0.11 0.1 0.09 0.08
0.165 0.155 0.145 0.135 0.125 0.115 0.105 0.095 0.085
0.17 0.16 0.15 0.14 0.13 0.12 0.11 0.1 0.09
0.175 0.165 0.155 0.145 0.135 0.125 0.115 0.105 0.095
-
7/29/2019 Excel spreadsheet to calculate potential energy of
magnetic slider on linear magnetic track and solve equation of
31/853
0.18 0.17 0.16 0.15 0.14 0.13 0.12 0.11 0.1
0.185 0.175 0.165 0.155 0.145 0.135 0.125 0.115 0.105
0.19 0.18 0.17 0.16 0.15 0.14 0.13 0.12 0.11
0.195 0.185 0.175 0.165 0.155 0.145 0.135 0.125 0.115
0.2 0.19 0.18 0.17 0.16 0.15 0.14 0.13 0.12
0.205 0.195 0.185 0.175 0.165 0.155 0.145 0.135 0.125
0.21 0.2 0.19 0.18 0.17 0.16 0.15 0.14 0.13
0.215 0.205 0.195 0.185 0.175 0.165 0.155 0.145 0.135
0.22 0.21 0.2 0.19 0.18 0.17 0.16 0.15 0.14
0.225 0.215 0.205 0.195 0.185 0.175 0.165 0.155 0.145
0.23 0.22 0.21 0.2 0.19 0.18 0.17 0.16 0.15
0.235 0.225 0.215 0.205 0.195 0.185 0.175 0.165 0.155
0.24 0.23 0.22 0.21 0.2 0.19 0.18 0.17 0.16
0.245 0.235 0.225 0.215 0.205 0.195 0.185 0.175 0.165
0.25 0.24 0.23 0.22 0.21 0.2 0.19 0.18 0.17
0.255 0.245 0.235 0.225 0.215 0.205 0.195 0.185 0.175
0.26 0.25 0.24 0.23 0.22 0.21 0.2 0.19 0.18
0.265 0.255 0.245 0.235 0.225 0.215 0.205 0.195 0.185
0.27 0.26 0.25 0.24 0.23 0.22 0.21 0.2 0.19
0.275 0.265 0.255 0.245 0.235 0.225 0.215 0.205 0.195
0.28 0.27 0.26 0.25 0.24 0.23 0.22 0.21 0.20.285 0.275 0.265
0.255 0.245 0.235 0.225 0.215 0.205
0.29 0.28 0.27 0.26 0.25 0.24 0.23 0.22 0.21
0.295 0.285 0.275 0.265 0.255 0.245 0.235 0.225 0.215
0.3 0.29 0.28 0.27 0.26 0.25 0.24 0.23 0.22
0.305 0.295 0.285 0.275 0.265 0.255 0.245 0.235 0.225
0.31 0.3 0.29 0.28 0.27 0.26 0.25 0.24 0.23
0.315 0.305 0.295 0.285 0.275 0.265 0.255 0.245 0.235
0.32 0.31 0.3 0.29 0.28 0.27 0.26 0.25 0.24
0.325 0.315 0.305 0.295 0.285 0.275 0.265 0.255 0.245
0.33 0.32 0.31 0.3 0.29 0.28 0.27 0.26 0.25
0.335 0.325 0.315 0.305 0.295 0.285 0.275 0.265 0.255
0.34 0.33 0.32 0.31 0.3 0.29 0.28 0.27 0.26
0.345 0.335 0.325 0.315 0.305 0.295 0.285 0.275 0.265
0.35 0.34 0.33 0.32 0.31 0.3 0.29 0.28 0.27
0.355 0.345 0.335 0.325 0.315 0.305 0.295 0.285 0.275
0.36 0.35 0.34 0.33 0.32 0.31 0.3 0.29 0.28
0.365 0.355 0.345 0.335 0.325 0.315 0.305 0.295 0.285
0.37 0.36 0.35 0.34 0.33 0.32 0.31 0.3 0.29
0.375 0.365 0.355 0.345 0.335 0.325 0.315 0.305 0.295
0.38 0.37 0.36 0.35 0.34 0.33 0.32 0.31 0.3
0.385 0.375 0.365 0.355 0.345 0.335 0.325 0.315 0.305
0.39 0.38 0.37 0.36 0.35 0.34 0.33 0.32 0.31
0.395 0.385 0.375 0.365 0.355 0.345 0.335 0.325 0.315
0.4 0.39 0.38 0.37 0.36 0.35 0.34 0.33 0.32
0.405 0.395 0.385 0.375 0.365 0.355 0.345 0.335 0.325
0.41 0.4 0.39 0.38 0.37 0.36 0.35 0.34 0.33
0.415 0.405 0.395 0.385 0.375 0.365 0.355 0.345 0.3350.42 0.41
0.4 0.39 0.38 0.37 0.36 0.35 0.34
0.425 0.415 0.405 0.395 0.385 0.375 0.365 0.355 0.345
0.43 0.42 0.41 0.4 0.39 0.38 0.37 0.36 0.35
0.435 0.425 0.415 0.405 0.395 0.385 0.375 0.365 0.355
0.44 0.43 0.42 0.41 0.4 0.39 0.38 0.37 0.36
0.445 0.435 0.425 0.415 0.405 0.395 0.385 0.375 0.365
0.45 0.44 0.43 0.42 0.41 0.4 0.39 0.38 0.37
0.455 0.445