Collision Temp

7/29/2019 Collision Temp

http://slidepdf.com/reader/full/collision-temp 1/14

COLLISIONTEMP.XLS Collision between two magneChapter 11

This is a c

Use of The movin

IF function They colli

Time of Nyquist The movin

Time (s) Force (N) Max Force Data Point Frequency Shifted FFT PSD The fixed0 -0.005 0 0 -255 -0.005 0.2849999 0.000159

0.001 -0.005 0 1 -254 0.005 -3.255642 6.8E-06

0.002 -0.005 0 2 -253 -0.005 -9.778545 1.97E-05

0.003 -0.015 0 3 -252 0.015 0.1152716 2.6E-05

0.004 -0.005 0 4 -251 -0.005 -0.1447481 5.21E-05 Maximum

0.005 -0.005 0 5 -250 0.005 2.2389074 2.9E-05

0.006 -0.005 0 6 -249 -0.005 9.9614602 9.43E-06

0.007 -0.005 0 7 -248 0.005 9.2622328 2.78E-05

0.008 -0.005 0 8 -247 -0.005 9.1418914 4.39E-06

0.009 -0.005 0 9 -246 0.005 1.1632597 1.2E-05

0.01 -0.005 0 10 -245 -0.005 5.1751026 7.14E-060.011 -0.005 0 11 -244 0.005 -3.858984 2.94E-06

0.012 -0.005 0 12 -243 -0.005 2.1450059 1.83E-05

0.013 -0.005 0 13 -242 0.005 -1.578809 7.86E-06

0.014 -0.005 0 14 -241 -0.005 -2.914188 2.34E-06

0.015 -0.005 0 15 -240 0.005 3.5800230 3.73E-05

0.016 -0.005 0 16 -239 -0.005 5.9710840 1.55E-05

0.017 -0.005 0 17 -238 0.005 -5.8504541 8.78E-06

0.018 -0.005 0 18 -237 -0.005 3.0168168 2.95E-06

0.019 -0.005 0 19 -236 0.005 6.6597129 7.98E-060.02 -0.005 0 20 -235 -0.005 -5.382232 1.2E-05

0.021 0.005 0 21 -234 -0.005 -3.917972 2.91E-05

0.022 -0.005 0 22 -233 -0.005 -2.414798 2.95E-06

0.023 -0.015 0 23 -232 0.015 1.1115104 7.38E-06

0.024 -0.005 0 24 -231 -0.005 4.3407765 5.33E-07



0.043 -0.005 0 43 -212 0.005 3.3719563 6.98E-06

0.044 -0.005 0 44 -211 -0.005 -6.624017 1.24E-05

0.045 -0.005 0 45 -210 0.005 -6.774501 5.68E-060.046 -0.005 0 46 -209 -0.005 -9.597045 4.19E-05

0.047 0.005 0 47 -208 -0.005 1.7188084 1.39E-06

0.048 -0.005 0 48 -207 -0.005 0.1177504 2.94E-05

0.049 -0.005 0 49 -206 0.005 -9.701925 1.85E-05

0.05 0.005 0 50 -205 0.005 6.0485022 8.62E-06

0.051 -0.005 0 51 -204 0.005 -8.086818 5.39E-05

0.052 -0.005 0 52 -203 -0.005 -6.401114 8.38E-06

0.053 -0.005 0 53 -202 0.005 2.1093889 5.35E-06

0.054 -0.005 0 54 -201 -0.005 1.7397288 6.28E-070.055 -0.005 0 55 -200 0.005 -6.4883801 2.44E-05

0.056 -0.005 0 56 -199 -0.005 -3.181812 4.23E-06

0.057 -0.005 0 57 -198 0.005 1.7799972 7.04E-07

0.058 0.005 0 58 -197 0.005 -8.003373 4.42E-07

0.059 -0.005 0 59 -196 0.005 -9.570594 1.81E-05

0.06 -0.005 0 60 -195 -0.005 -3.2287201 2.32E-06

0.061 -0.005 0 61 -194 0.005 1.4235361 2.52E-05

0.062 0.005 0 62 -193 0.005 7.7686894 1.63E-05

0.063 -0.005 0 63 -192 0.005 9.9656806 2.02E-05

0.064 0.005 0 64 -191 0.005 3.6999999 7.16E-06

0.065 -0.005 0 65 -190 0.005 -0.1077841 2.77E-05

0.066 0.005 0 66 -189 0.005 -3.304732 9.84E-06

0.067 -0.005 0 67 -188 0.005 -3.9147281 7.32E-06

0.068 -0.005 0 68 -187 -0.005 3.4081062 6.24E-06

0.069 0.005 0 69 -186 -0.005 6.2707115 2.01E-05

0.07 -0.005 0 70 -185 -0.005 -2.726039 3.7E-06

0.071 0.005 0 71 -184 -0.005 2.2677126 1.38E-060.072 0.005 0 72 -183 0.005 -1.249803 3.21E-05

0.073 -0.005 0 73 -182 0.005 -4.544923 5.18E-05

0.074 0.005 0 74 -181 0.005 -1.861185 1.58E-05

0.075 -0.005 0 75 -180 0.005 -0.119828 2.85E-05

0.076 -0.005 0 76 -179 -0.005 -4.420666 5.44E-06

0 077 0 005 0 77 178 0 005 9 805925 1 89E 05



0.095 -0.005 0 95 -160 0.005 -3.673557 2.2E-05

0.096 0.015 0 96 -159 0.015 5.0262824 7.41E-08

0.097 0.005 0 97 -158 -0.005 5.9156571 7.33E-060.098 -0.005 0 98 -157 -0.005 -6.7205341 9.56E-06

0.099 0.005 0 99 -156 -0.005 -0.118463 3.24E-05

0.1 0.005 0 100 -155 0.005 -1.355978 4.23E-07

0.101 0.005 0 101 -154 -0.005 1.5131074 5.68E-05

0.102 0.005 0 102 -153 0.005 9.0705715 5.31E-05

0.103 0.015 0 103 -152 -0.015 -2.457180 9.14E-06

0.104 0.005 0 104 -151 0.005 -7.2776031 1.68E-05

0.105 0.005 0 105 -150 -0.005 0.1088512 2.68E-05

0.106 0.005 0 106 -149 0.005 -0.116659 5.28E-050.107 0.005 0 107 -148 -0.005 9.2307714 2.32E-05

0.108 0.015 0 108 -147 0.015 -9.622738 2.21E-05

0.109 0.015 0 109 -146 -0.015 6.4369941 8.1E-06

0.11 0.015 0 110 -145 0.015 -0.139033 4.31E-05

0.111 0.015 0 111 -144 -0.015 -4.624220 6.92E-06

0.112 0.015 0 112 -143 0.015 2.7143395 1.4E-05

0.113 0.015 0 113 -142 -0.015 0.1405703 4.82E-05

0.114 0.015 0 114 -141 0.015 -7.386669 1.23E-05

0.115 0.015 0 115 -140 -0.015 -2.984442 6.37E-060.116 0.015 0 116 -139 0.015 4.5159252 7.52E-06

0.117 0.015 0 117 -138 -0.015 3.2562251 1.37E-05

0.118 0.015 0 118 -137 0.015 0.1060560 2.88E-05

0.119 0.024 0 119 -136 -0.024 -0.146537 5.12E-05

0.12 0.015 0 120 -135 0.015 -4.708155 4.44E-06

0.121 0.024 0 121 -134 -0.024 -4.229799 4.6E-06

0.122 0.024 0 122 -133 0.024 -5.210827 6.54E-06

0.123 0.015 0 123 -132 -0.015 7.3501532 1.1E-05

0.124 0.015 0 124 -131 0.015 -2.486106 1.98E-06

0.125 0.024 0 125 -130 -0.024 -6.961690 1.31E-05

0.126 0.024 0 126 -129 0.024 -7.578885 2.89E-06

0.127 0.024 0 127 -128 -0.024 -2.457584 1.88E-05

0.128 0.024 0 128 -127 0.024 4.4999999 1.77E-05

0 129 0 024 0 129 126 0 024 3 084191 1 53E 05



0.147 0.054 0 147 -108 -0.054 -1.3193641 2.35E-06

0.148 0.054 0 148 -107 0.054 -0.152311 4.65E-05

0.149 0.054 0 149 -106 -0.054 -1.935901 8.1E-070.15 0.063 0 150 -105 0.063 0.1063003 2.31E-05

0.151 0.054 0 151 -104 -0.054 -6.254165 1.51E-05

0.152 0.063 0 152 -103 0.063 3.3558892 2.2E-06

0.153 0.063 0 153 -102 -0.063 -0.112509 4.46E-05

0.154 0.073 0 154 -101 0.073 9.0049313 9.67E-06

0.155 0.073 0 155 -100 -0.073 -7.591666 1.7E-05

0.156 0.073 0 156 -99 0.073 0.1643599 5.41E-05

0.157 0.073 0 157 -98 -0.073 0.1334887 4.34E-05

0.158 0.083 0 158 -97 0.083 -4.233506 1.9E-050.159 0.093 0 159 -96 -0.093 0.1600718 7E-05

0.16 0.093 0 160 -95 0.093 -3.842325 3.09E-06

0.161 0.093 0 161 -94 -0.093 5.2514196 1.12E-05

0.162 0.103 0 162 -93 0.103 2.4933899 1.08E-05

0.163 0.103 0 163 -92 -0.103 -8.097461 3.2E-05

0.164 0.112 0 164 -91 0.112 4.0280875 1.51E-05

0.165 0.112 0 165 -90 -0.112 -2.9792631 1.48E-05

0.166 0.112 0 166 -89 0.112 5.4426692 2.81E-05

0.167 0.122 0 167 -88 -0.122 4.4584064 5.33E-060.168 0.132 0 168 -87 0.132 -0.131657 3.39E-05

0.169 0.132 0 169 -86 -0.132 -4.240545 1.16E-05

0.17 0.142 0 170 -85 0.142 -5.149804 1.76E-05

0.171 0.142 0 171 -84 -0.142 0.1527654 5.12E-05

0.172 0.161 0 172 -83 0.161 5.6904980 1.2E-05

0.173 0.161 0 173 -82 -0.161 6.0915542 1.51E-05

0.174 0.171 0 174 -81 0.171 -0.116099 2.63E-05

0.175 0.171 0 175 -80 -0.171 7.0182166 1.3E-05

0.176 0.19 0 176 -79 0.19 4.4110166 4.15E-06

0.177 0.2 0 177 -78 -0.2 -8.814429 4.31E-05

0.178 0.21 0 178 -77 0.21 0.1060428 2.34E-05

0.179 0.22 0 179 -76 -0.22 6.3130995 2.08E-05

0.18 0.229 0 180 -75 0.229 -0.113644 2.75E-05

0 181 0 229 0 181 74 0 229 5 1856281 5 04E 07



0.199 0.591 0 199 -56 -0.591 -7.313417 8.42E-06

0.2 0.63 0 200 -55 0.63 6.6604843 1.2E-05

0.201 0.659 0 201 -54 -0.659 7.0783575 1.58E-050.202 0.698 0 202 -53 0.698 -3.889237 1.3E-05

0.203 0.737 0 203 -52 -0.737 1.0097856 3.72E-05

0.204 0.776 0 204 -51 0.776 2.7890079 1.52E-06

0.205 0.825 0 205 -50 -0.825 0.2545537 0.000132

0.206 0.874 0 206 -49 0.874 -0.110189 4.28E-05

0.207 0.923 0 207 -48 -0.923 -4.557793 1.46E-05

0.208 0.972 0 208 -47 0.972 -4.416631 6.63E-05

0.209 1.03 0 209 -46 -1.03 0.1091026 2.63E-05

0.21 1.099 0 210 -45 1.099 -4.893083 5.42E-050.211 1.167 0 211 -44 -1.167 -3.702983 1.38E-05

0.212 1.235 0 212 -43 1.235 7.9660742 8.54E-06

0.213 1.294 0 213 -42 -1.294 -3.229628 3E-05

0.214 1.372 0 214 -41 1.372 -0.100574 2.19E-05

0.215 1.45 0 215 -40 -1.45 4.8194647 1.08E-05

0.216 1.548 0 216 -39 1.548 -9.918214 3.22E-05

0.217 1.626 0 217 -38 -1.626 -1.711939 5.87E-06

0.218 1.714 0 218 -37 1.714 -4.075864 1.38E-05

0.219 1.831 0 219 -36 -1.831 -2.691139 1.82E-050.22 1.939 0 220 -35 1.939 -5.319683 7.68E-06

0.221 2.056 0 221 -34 -2.056 5.4115483 2.81E-06

0.222 2.183 0 222 -33 2.183 -4.943187 1.33E-05

0.223 2.31 0 223 -32 -2.31 -3.585115 2.4E-05

0.224 2.437 0 224 -31 2.437 5.8191531 2.54E-05

0.225 2.573 0 225 -30 -2.573 6.6776609 9.44E-05

0.226 2.73 0 226 -29 2.73 -1.527417 3.31E-06

0.227 2.876 0 227 -28 -2.876 0.1145996 3.95E-05

0.228 3.032 0 228 -27 3.032 -0.129415 4.03E-05

0.229 3.189 0 229 -26 -3.189 -4.320643 3.78E-06

0.23 3.355 0 230 -25 3.355 -2.539438 2.02E-05

0.231 3.521 0 231 -24 -3.521 1.3599989 8.65E-06

0.232 3.687 0 232 -23 3.687 0.1489007 9.96E-05

0 233 3 862 0 233 22 3 862 9 1955817 2 63E 05



0.251 6.157 0 251 -4 -6.157 -119.5269 28.5366

0.252 6.177 0 252 -3 6.177 166.43311 54.77531

0.253 6.178 0.253 253 -2 -6.178 -224.0055 98.528680.254 6.177 0 254 -1 6.177 287.30327 161.5227

0.255 6.157 0 255 0 -6.157 -346.1016 234.0048

0.256 6.118 0 256 1 6.118 371.565 269.6495

0.257 6.07 0 257 2 -6.07 -346.1016 234.0048

0.258 6.011 0 258 3 6.011 287.30327 161.5227

0.259 5.943 0 259 4 -5.943 -224.0055 98.52868

0.26 5.845 0 260 5 5.845 166.43311 54.77531

0.261 5.757 0 261 6 -5.757 -119.5269 28.5366

0.262 5.64 0 262 7 5.64 83.478217 14.161880.263 5.523 0 263 8 -5.523 -56.73758 6.685043

0.264 5.396 0 264 9 5.396 37.488651 3.020335

0.265 5.249 0 265 10 -5.249 -24.19203 1.313301

0.266 5.103 0 266 11 5.103 15.064360 0.539552

0.267 4.956 0 267 12 -4.956 -9.335792 0.222416

0.268 4.81 0 268 13 4.81 5.4450507 0.084159

0.269 4.653 0 269 14 -4.653 -2.993596 0.029178

0.27 4.497 0 270 15 4.497 1.5420654 0.0088

0.271 4.351 0 271 16 -4.351 -0.884560 0.0034060.272 4.185 0 272 17 4.185 0.3314256 0.000739

0.273 4.019 0 273 18 -4.019 -0.232806 0.000114

0.274 3.862 0 274 19 3.862 0.1957777 7.83E-05

0.275 3.706 0 275 20 -3.706 -0.1362411 3.63E-05

0.276 3.55 0 276 21 3.55 0.1452258 4.77E-05

0.277 3.394 0 277 22 -3.394 -9.332991 1.87E-05

0.278 3.247 0 278 23 3.247 0.1066942 8.33E-05

0.279 3.101 0 279 24 -3.101 9.1955817 2.63E-05

0.28 2.954 0 280 25 2.954 0.1489007 9.96E-05

0.281 2.817 0 281 26 -2.817 1.3599989 8.65E-06

0.282 2.691 0 282 27 2.691 -2.539438 2.02E-05

0.283 2.554 0 283 28 -2.554 -4.320643 3.78E-06

0.284 2.437 0 284 29 2.437 -0.129415 4.03E-05

0 285 2 319 0 285 30 2 319 0 1145996 3 95E 05



0.303 0.903 0 303 48 -0.903 0.1091026 2.63E-05

0.304 0.864 0 304 49 0.864 -4.416631 6.63E-05

0.305 0.825 0 305 50 -0.825 -4.557793 1.46E-05

0.306 0.786 0 306 51 0.786 -0.110189 4.28E-05

0.307 0.737 0 307 52 -0.737 0.2545537 0.000132

0.308 0.708 0 308 53 0.708 2.7890079 1.52E-06

0.309 0.659 0 309 54 -0.659 1.0097856 3.72E-05

0.31 0.64 0 310 55 0.64 -3.889237 1.3E-05

0.311 0.61 0 311 56 -0.61 7.0783575 1.58E-05

0.312 0.581 0 312 57 0.581 6.6604843 1.2E-05

0.313 0.552 0 313 58 -0.552 -7.313417 8.42E-06

0.314 0.522 0 314 59 0.522 -7.161270 1.08E-050.315 0.513 0 315 60 -0.513 6.5439762 1.61E-05

0.316 0.483 0 316 61 0.483 -3.052609 3.05E-06

0.317 0.444 0 317 62 -0.444 -1.627679 1.93E-05

0.318 0.435 0 318 63 0.435 -1.026017 6.98E-05

0.319 0.415 0 319 64 -0.415 7.4510983 3.22E-05

0.32 0.396 0 320 65 0.396 3.6999999 3.45E-06

0.321 0.376 0 321 66 -0.376 2.2299390 2.32E-06

0.322 0.366 0 322 67 0.366 -6.475852 8.31E-06

0.323 0.347 0 323 68 -0.347 -2.300739 3.88E-050.324 0.327 0 324 69 0.327 -2.410666 4.51E-05

0.325 0.308 0 325 70 -0.308 -3.512244 7.25E-05

0.326 0.298 0 326 71 0.298 8.6229127 1.48E-05

0.327 0.288 0 327 72 -0.288 -2.9372571 2.98E-06

0.328 0.278 0 328 73 0.278 4.4743292 3.93E-06

0.329 0.269 0 329 74 -0.269 -0.128839 3.48E-05

0.33 0.249 0 330 75 0.249 3.1805934 8.71E-06

0.331 0.239 0 331 76 -0.239 -5.1856281 5.04E-07

0.332 0.229 0 332 77 0.229 -0.113644 2.75E-05

0.333 0.22 0 333 78 -0.22 6.3130995 2.08E-05

0.334 0.21 0 334 79 0.21 0.1060428 2.34E-05

0.335 0.21 0 335 80 -0.21 -8.814429 4.31E-05

0.336 0.19 0 336 81 0.19 4.4110166 4.15E-06

0 337 0 19 0 337 82 0 19 7 0182166 1 3E 05



0.355 0.093 0 355 100 -0.093 0.1334887 4.34E-05

0.356 0.093 0 356 101 0.093 0.1643599 5.41E-05

0.357 0.083 0 357 102 -0.083 -7.591666 1.7E-05

0.358 0.083 0 358 103 0.083 9.0049313 9.67E-06

0.359 0.083 0 359 104 -0.083 -0.112509 4.46E-05

0.36 0.083 0 360 105 0.083 3.3558892 2.2E-06

0.361 0.083 0 361 106 -0.083 -6.254165 1.51E-05

0.362 0.073 0 362 107 0.073 0.1063003 2.31E-05

0.363 0.073 0 363 108 -0.073 -1.935901 8.1E-07

0.364 0.063 0 364 109 0.063 -0.152311 4.65E-05

0.365 0.063 0 365 110 -0.063 -1.3193641 2.35E-06

0.366 0.063 0 366 111 0.063 -4.0323901 4.46E-060.367 0.063 0 367 112 -0.063 -8.557006 1.59E-05

0.368 0.063 0 368 113 0.063 0.1143374 4.54E-05

0.369 0.063 0 369 114 -0.063 5.9762243 3.99E-06

0.37 0.054 0 370 115 0.054 -9.209743 3.01E-05

0.371 0.054 0 371 116 -0.054 -8.019566 2.42E-05

0.372 0.054 0 372 117 0.054 1.6286251 3.49E-06

0.373 0.054 0 373 118 -0.054 6.9357321 4.6E-05

0.374 0.054 0 374 119 0.054 1.2537307 1.1E-05

0.375 0.044 0 375 120 -0.044 5.0136355 1.74E-050.376 0.044 0 376 121 0.044 -0.149840 4.7E-05

0.377 0.044 0 377 122 -0.044 -3.735745 3.19E-06

0.378 0.044 0 378 123 0.044 0.1524344 4.75E-05

0.379 0.044 0 379 124 -0.044 4.8217812 8.21E-06

0.38 0.044 0 380 125 0.044 0.1471896 5.59E-05

0.381 0.044 0 381 126 -0.044 5.5066395 4.58E-06

0.382 0.044 0 382 127 0.044 -5.599534 6.77E-06

0.383 0.044 0 383 128 -0.044 -3.084191 1.53E-05

0.384 0.044 0 384 129 0.044 4.4999999 1.77E-05

0.385 0.034 0 385 130 -0.034 -2.457584 1.88E-05

0.386 0.034 0 386 131 0.034 -7.578885 2.89E-06

0.387 0.034 0 387 132 -0.034 -6.961690 1.31E-05

0.388 0.034 0 388 133 0.034 -2.486106 1.98E-06

0 389 0 034 0 389 134 0 034 7 3501532 1 1E 05



0.407 0.015 0 407 152 -0.015 0.1088512 2.68E-05

0.408 0.024 0 408 153 0.024 -7.2776031 1.68E-05

0.409 0.024 0 409 154 -0.024 -2.457180 9.14E-06

0.41 0.015 0 410 155 0.015 9.0705715 5.31E-05

0.411 0.024 0 411 156 -0.024 1.5131074 5.68E-05

0.412 0.024 0 412 157 0.024 -1.355978 4.23E-07

0.413 0.015 0 413 158 -0.015 -0.118463 3.24E-05

0.414 0.024 0 414 159 0.024 -6.7205341 9.56E-06

0.415 0.015 0 415 160 -0.015 5.9156571 7.33E-06

0.416 0.024 0 416 161 0.024 5.0262824 7.41E-08

0.417 0.015 0 417 162 -0.015 -3.673557 2.2E-05

0.418 0.005 0 418 163 0.005 -9.218573 2.66E-050.419 0.015 0 419 164 -0.015 -1.945329 1.17E-05

0.42 0.024 0 420 165 0.024 -3.169485 7.81E-06

0.421 0.015 0 421 166 -0.015 0.1106687 2.43E-05

0.422 0.015 0 422 167 0.015 -1.302072 3.08E-05

0.423 0.015 0 423 168 -0.015 -6.172893 2.14E-05

0.424 0.015 0 424 169 0.015 5.0941685 1.5E-05

0.425 0.015 0 425 170 -0.015 -7.326371 1.6E-05

0.426 0.015 0 426 171 0.015 -6.9981051 3.1E-05

0.427 0.015 0 427 172 -0.015 8.5617920 1.45E-050.428 0.015 0 428 173 0.015 -8.859115 2.14E-06

0.429 0.015 0 429 174 -0.015 4.2807268 3.7E-06

0.43 0.015 0 430 175 0.015 9.7669708 1.06E-06

0.431 0.005 0 431 176 -0.005 -3.724842 2.96E-06

0.432 0.005 0 432 177 0.005 -2.631158 1.45E-06

0.433 0.015 0 433 178 -0.015 4.3377933 1.98E-05

0.434 0.015 0 434 179 0.015 -8.627810 1.44E-05

0.435 0.015 0 435 180 -0.015 -9.805925 1.89E-05

0.436 0.005 0 436 181 0.005 -4.420666 5.44E-06

0.437 0.005 0 437 182 -0.005 -0.119828 2.85E-05

0.438 0.015 0 438 183 0.015 -1.861185 1.58E-05

0.439 0.015 0 439 184 -0.015 -4.544923 5.18E-05

0.44 0.005 0 440 185 0.005 -1.249803 3.21E-05

0 441 0 005 0 441 186 0 005 2 2677126 1 38E 06



0.459 0.005 0 459 204 -0.005 2.1093889 5.35E-06

0.46 0.005 0 460 205 0.005 -6.401114 8.38E-06

0.461 0.005 0 461 206 -0.005 -8.086818 5.39E-05

0.462 0.005 0 462 207 0.005 6.0485022 8.62E-06

0.463 0.005 0 463 208 -0.005 -9.701925 1.85E-05

0.464 0.005 0 464 209 0.005 0.1177504 2.94E-05

0.465 0.005 0 465 210 -0.005 1.7188084 1.39E-06

0.466 0.005 0 466 211 0.005 -9.597045 4.19E-05

0.467 0.005 0 467 212 -0.005 -6.774501 5.68E-06

0.468 0.005 0 468 213 0.005 -6.624017 1.24E-05

0.469 0.005 0 469 214 -0.005 3.3719563 6.98E-06

0.47 0.005 0 470 215 0.005 8.0935741 2.24E-050.471 0.005 0 471 216 -0.005 -1.1683301 9.48E-07

0.472 0.005 0 472 217 0.005 4.1970162 3.58E-06

0.473 0.005 0 473 218 -0.005 3.7941967 5.11E-06

0.474 0.005 0 474 219 0.005 5.2987695 2.76E-05

0.475 0.005 0 475 220 -0.005 -4.569627 6.92E-06

0.476 0.005 0 476 221 0.005 3.2450105 1.1E-05

0.477 -0.005 0 477 222 0.005 -0.105645 2.49E-05

0.478 0.005 0 478 223 0.005 -3.419765 8.24E-06

0.479 0.005 0 479 224 -0.005 4.2492650 9.39E-060.48 0.005 0 480 225 0.005 2.7205438 4.6E-06

0.481 0.005 0 481 226 -0.005 4.3883061 1.57E-05

0.482 0.005 0 482 227 0.005 -8.454754 1.4E-05

0.483 0.005 0 483 228 -0.005 2.2091627 3.45E-05

0.484 0.005 0 484 229 0.005 -5.347678 1.03E-05

0.485 0.005 0 485 230 -0.005 0.1124904 3.66E-05

0.486 0.005 0 486 231 0.005 -7.6031781 4.83E-07

0.487 0.005 0 487 232 -0.005 5.6992592 6.99E-06

0.488 0.005 0 488 233 0.005 4.3407765 5.33E-07

0.489 0.005 0 489 234 -0.005 1.1115104 7.38E-06

0.49 0.005 0 490 235 0.005 -2.414798 2.95E-06

0.491 0.005 0 491 236 -0.005 -3.917972 2.91E-05

0.492 0.005 0 492 237 0.005 -5.382232 1.2E-05

0 493 0 005 0 493 238 0 005 6 6597129 7 98E 06



0.511 0 511 256 0 -3.255642 6.8E-06



s

ollision between a moving magnet and a fixed magnet.

g magnet floats on an air track and approaches the fixed magnet.

e through their magnetic fields and never touch each other.

g magnet reverses direction after it reaches its closest point of approach.

magnet is mounted on a force sensor.

The area under the curve (integral) of Force versus Timeis the impulse during the collision.

orce (N)

6.178 Impulse-Momentum theorem:

Impulse produces a change in momentum.

at time

0.253 s

where p is the momentum

and F is the force.

The left side of the equation is the impulse .

ò D=2

1)(

t

t pdt t F



-1

0

1

2

3

4

5

6

7

0 0.1 0.2 0.3 0.4 0.5 0.6

F o r c e ( N )

Time (s)

Collision Bewteen 2 Magnets



1E-08

0.0000001

0.000001

0.00001

0.0001

0.001

0.01

0.1

1

10

100

1000

-300 -200 -100 0 100 200 300

P S D

Data Point

PSD

Documents

Collision Temp