trabajo y energía..xlsx

31
Posición Tiempo (s) X (cm) Y (cm) 0 0.025 12.8 34.8 1 0.05 12.2 34.4 2 0.075 11.7 33.7 3 0.1 11.1 33.1 4 0.125 10.2 32 5 0.15 9.3 30.7 6 0.175 8.3 29.6 7 0.2 7.1 28.2 8 0.225 6 26.7 9 0.25 4.3 25.3 10 0.275 3.4 23.8 11 0.3 2.3 22.5 12 0.325 1 21.1 13 0.35 -0.2 19.9 14 0.375 -1.3 18.8 15 0.4 -2.4 17.9 16 0.425 -3.4 17.3 17 0.45 -4.3 16.9 18 0.475 -5.2 16.6 19 0.5 -5.9 16.6 20 0.525 -6.5 16.8 21 0.55 -7.1 17.2 22 0.575 -7.4 17.8 23 0.6 -7.7 18.8 24 0.625 -7.9 19.7 25 0.65 -7.9 20.8 26 0.675 -7.8 22 27 0.7 -7.5 23.3 28 0.725 -7.1 24.6 29 0.75 -6.6 26 30 0.775 -5.8 27.3 31 0.8 -5.1 28.6 32 0.825 -4.2 29.8 33 0.85 -3.1 30.9 34 0.875 -2 32.5 35 0.9 -1 33.1 36 0.925 0.2 33.5 37 0.95 1.4 33.7 38 0.975 2.5 33.6 39 1 3.8 33.6 40 1.025 4.9 33.5 41 1.05 6 33 42 1.075 7 32.4 43 1.1 8 31.5

Upload: anaacunamonteza

Post on 20-Feb-2016

224 views

Category:

Documents


0 download

DESCRIPTION

Trabajo y Energía

TRANSCRIPT

Page 1: Trabajo y Energía..xlsx

Posición Tiempo (s) X (cm) Y (cm)0 0.025 12.8 34.81 0.05 12.2 34.42 0.075 11.7 33.73 0.1 11.1 33.14 0.125 10.2 325 0.15 9.3 30.76 0.175 8.3 29.67 0.2 7.1 28.28 0.225 6 26.79 0.25 4.3 25.3

10 0.275 3.4 23.811 0.3 2.3 22.512 0.325 1 21.113 0.35 -0.2 19.914 0.375 -1.3 18.815 0.4 -2.4 17.916 0.425 -3.4 17.317 0.45 -4.3 16.918 0.475 -5.2 16.619 0.5 -5.9 16.620 0.525 -6.5 16.821 0.55 -7.1 17.222 0.575 -7.4 17.823 0.6 -7.7 18.824 0.625 -7.9 19.725 0.65 -7.9 20.826 0.675 -7.8 2227 0.7 -7.5 23.328 0.725 -7.1 24.629 0.75 -6.6 2630 0.775 -5.8 27.331 0.8 -5.1 28.632 0.825 -4.2 29.833 0.85 -3.1 30.934 0.875 -2 32.535 0.9 -1 33.136 0.925 0.2 33.537 0.95 1.4 33.738 0.975 2.5 33.639 1 3.8 33.640 1.025 4.9 33.541 1.05 6 3342 1.075 7 32.443 1.1 8 31.544 1.125 8.9 30.545 1.15 9.6 29.346 1.175 10.4 28.1

Page 2: Trabajo y Energía..xlsx

47 1.2 10.9 26.748 1.225 11.3 25.4

Page 3: Trabajo y Energía..xlsx

Posición Tiempo X0 0.025 12.81 0.05 12.22 0.075 11.73 0.1 11.14 0.125 10.25 0.15 9.36 0.175 8.37 0.2 7.18 0.225 69 0.25 4.3

10 0.275 3.411 0.3 2.312 0.325 113 0.35 -0.214 0.375 -1.315 0.4 -2.416 0.425 -3.417 0.45 -4.318 0.475 -5.219 0.5 -5.920 0.525 -6.521 0.55 -7.122 0.575 -7.423 0.6 -7.724 0.625 -7.925 0.65 -7.926 0.675 -7.827 0.7 -7.528 0.725 -7.129 0.75 -6.630 0.775 -5.831 0.8 -5.132 0.825 -4.233 0.85 -3.134 0.875 -235 0.9 -136 0.925 0.237 0.95 1.438 0.975 2.539 1 3.840 1.025 4.941 1.05 642 1.075 743 1.1 844 1.125 8.945 1.15 9.646 1.175 10.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

-10

-5

0

5

10

15

f(x) = − 139.31489 x⁴ + 349.50723 x³ − 224.13587 x² + 5.0455949 x + 12.532052

X

XPolynomial (X)

Page 4: Trabajo y Energía..xlsx

47 1.2 10.948 1.225 11.3

Page 5: Trabajo y Energía..xlsx

0 0.2 0.4 0.6 0.8 1 1.2 1.4

-10

-5

0

5

10

15

f(x) = − 139.31489 x⁴ + 349.50723 x³ − 224.13587 x² + 5.0455949 x + 12.532052

X

XPolynomial (X)

Page 6: Trabajo y Energía..xlsx

Posición Tiempo (s) Y (cm)0 0.025 34.81 0.05 34.42 0.075 33.73 0.1 33.14 0.125 325 0.15 30.76 0.175 29.67 0.2 28.28 0.225 26.79 0.25 25.3

10 0.275 23.811 0.3 22.512 0.325 21.113 0.35 19.914 0.375 18.815 0.4 17.916 0.425 17.317 0.45 16.918 0.475 16.619 0.5 16.620 0.525 16.821 0.55 17.222 0.575 17.823 0.6 18.824 0.625 19.725 0.65 20.826 0.675 2227 0.7 23.328 0.725 24.629 0.75 2630 0.775 27.331 0.8 28.632 0.825 29.833 0.85 30.934 0.875 32.535 0.9 33.136 0.925 33.537 0.95 33.738 0.975 33.639 1 33.640 1.025 33.541 1.05 3342 1.075 32.443 1.1 31.5

0 0.2 0.4 0.6 0.8 1 1.2 1.40

5

10

15

20

25

30

35

40

f(x) = 300.489 x⁶ − 795.461 x⁵ + 386.361 x⁴ + 420.791 x³ − 328.109 x² + 15.4862 x + 34.4057

Y (cm)

Page 7: Trabajo y Energía..xlsx

44 1.125 30.545 1.15 29.346 1.175 28.147 1.2 26.748 1.225 25.4

Page 8: Trabajo y Energía..xlsx

0 0.2 0.4 0.6 0.8 1 1.2 1.40

5

10

15

20

25

30

35

40

f(x) = 300.489 x⁶ − 795.461 x⁵ + 386.361 x⁴ + 420.791 x³ − 328.109 x² + 15.4862 x + 34.4057

Y (cm)

Page 9: Trabajo y Energía..xlsx

Posición Tiempo (s) Y y0 0.025 34.8 1.76068359375E-06 -0.001553631 0.05 34.4 0.000056341875 -0.024858132 0.075 33.7 0.0004278461132812 -0.125844263 0.1 33.1 0.00180294 -0.397734 0.125 32 0.0055021362304688 -0.971020515 0.15 30.7 0.013691075625 -2.013508136 0.175 29.6 0.0295918091601562 -3.730272387 0.2 28.2 0.05769408 -6.363688 0.225 26.7 0.103966605527344 -10.19338499 0.25 25.3 0.176068359375 -15.5363281

10 0.275 23.8 0.283559853457031 -22.74673811 0.3 22.5 0.43811442 -32.2161312 0.325 21.1 0.653729493574219 -44.373306813 0.35 19.9 0.946937893125 -59.684358114 0.375 18.8 1.33701910400391 -78.652661115 0.4 17.9 1.84621056 -101.8188816 0.425 17.3 2.49991892537109 -129.76096617 0.45 16.9 3.326931376875 -163.09415818 0.475 16.6 4.35962688580078 -202.47098219 0.5 16.6 5.6341875 -248.5812520 0.525 16.8 7.19080962591797 -302.15206321 0.55 17.2 9.073915310625 -363.94780822 0.575 17.8 11.3323635238477 -434.7701623 0.6 18.8 14.01966144 -515.4580824 0.625 19.7 17.1941757202148 -606.88781725 0.65 20.8 20.919343794375 -709.97290826 0.675 22 25.2638851431445 -825.66417627 0.7 23.3 30.30201258 -954.9497328 0.725 24.6 36.1136435332617 -1098.8549729 0.75 26 42.784611328125 -1258.4425830 0.775 27.3 50.4068764686914 -1434.8125331 0.8 28.6 59.07873792 -1629.1020832 0.825 29.8 68.9050443900586 -1842.4857833 0.85 30.9 79.997405611875 -2076.1754634 0.875 32.5 92.4744036254883 -2331.4202435 0.9 33.1 106.46180406 -2609.5065336 0.925 33.5 122.092767415605 -2911.7580337 0.95 33.7 139.508060345625 -3239.5357138 0.975 33.6 158.856266938535 -3594.2378539 1 33.6 180.294 -3977.340 1.025 33.5 203.986112334902 -4390.1950141 1.05 33 230.105908029375 -4834.4330142 1.075 32.4 258.835353732832 -5311.5614143 1.1 31.5 290.36528994 -5823.1649344 1.125 30.5 324.895642272949 -6370.8655545 1.15 29.3 362.635632763125 -6956.3225646 1.175 28.1 403.803991133379 -7581.23252

Page 10: Trabajo y Energía..xlsx

47 1.2 26.7 448.62916608 -8247.3292848 1.225 25.4 497.349536554746 -8956.38399

Page 11: Trabajo y Energía..xlsx

en m potencia0.0241475 0.78898125 -16.4055 15.486 -0.13207062 -0.00132071 1.74426492295161E-06

0.19318 3.155925 -32.811 15.486 -14.0006968 -0.14000697 0.01960195104130070.6519825 7.10083125 -49.2165 15.486 -26.1031027 -0.26103103 0.0681371968567209

1.54544 12.6237 -65.622 15.486 -36.3627871 -0.36362787 0.132225228277093.0184375 19.7245313 -82.0275 15.486 -44.7640496 -0.4476405 0.200382013852346

5.21586 28.403325 -98.433 15.486 -51.327632 -0.51327632 0.2634525811796038.2825925 38.6600812 -114.8385 15.486 -56.1105068 -0.56110507 0.314838897600714

12.36352 50.4948 -131.244 15.486 -59.2056659 -0.59205666 0.35053108770306517.6035275 63.9074813 -147.6495 15.486 -60.7419095 -0.6074191 0.36895795730209

24.1475 78.898125 -164.055 15.486 -60.8836348 -0.60883635 0.37068169822740232.1403225 95.4667313 -180.4605 15.486 -59.8306244 -0.59830624 0.357970361661506

41.72688 113.6133 -196.866 15.486 -57.8178356 -0.57817836 0.33429021111559253.0520575 133.337831 -213.2715 15.486 -55.1151885 -0.55115189 0.303768400496002

66.26074 154.640325 -229.677 15.486 -52.0273552 -0.52027355 0.27068456924237281.4978125 177.520781 -246.0825 15.486 -48.8935483 -0.48893548 0.239057906329219

98.90816 201.9792 -262.488 15.486 -46.0873094 -0.46087309 0.212404009141831118.636667 228.015581 -278.8935 15.486 -44.0162985 -0.44016298 0.193743452989456

140.82822 255.629925 -295.299 15.486 -43.1220817 -0.43122082 0.185951393429198165.627703 284.822231 -311.7045 15.486 -43.8799211 -0.43879921 0.192544747767397

193.18 315.5925 -328.11 15.486 -46.7985625 -0.46798563 0.219010545206641223.629998 347.940731 -344.5155 15.486 -52.4200246 -0.52420025 0.274785898240843

257.12258 381.866925 -360.921 15.486 -61.3193878 -0.61319388 0.376006732192972293.802632 417.371081 -377.3265 15.486 -74.1045826 -0.74104583 0.549148916364889

333.81504 454.4532 -393.732 15.486 -91.4161786 -0.91416179 0.835691770251383377.304688 493.113281 -410.1375 15.486 -113.927173 -1.13927173 1.29794007278569

424.41646 533.351325 -426.543 15.486 -142.342779 -1.42342779 2.0261466827567475.295243 575.167331 -442.9485 15.486 -177.400217 -1.77400217 3.14708368549312

530.08592 618.5613 -459.354 15.486 -219.868497 -2.19868497 4.83421561577286588.933378 663.533231 -475.7595 15.486 -270.548217 -2.70548217 7.31963377081087

651.9825 710.083125 -492.165 15.486 -330.271342 -3.30271342 10.9079159212308719.378173 758.210981 -508.5705 15.486 -399.900998 -3.99900998 15.9920808532611

791.26528 807.9168 -524.976 15.486 -480.331262 -4.80331262 23.0718121331366867.788708 859.200581 -541.3815 15.486 -572.486945 -5.72486945 32.7741302759623

949.09334 912.062325 -557.787 15.486 -677.323388 -6.77323388 45.87669712722551035.32406 966.502031 -574.1925 15.486 -795.826242 -7.95826242 63.33394072685441126.62576 1022.5197 -590.598 15.486 -929.011266 -9.29011266 86.30619322434421223.14332 1080.11533 -607.0035 15.486 -1077.92411 -10.7792411 116.1920385501191325.02162 1139.28892 -623.409 15.486 -1243.6401 -12.436401 154.6640705241091432.40555 1200.04048 -639.8145 15.486 -1427.26405 -14.2726405 203.708265898612

1545.44 1262.37 -656.22 15.486 -1629.93 -16.2993 265.667180491664.26985 1326.27748 -672.6255 15.486 -1852.80107 -18.5280107 343.2871800538681789.03998 1391.76293 -689.031 15.486 -2097.0692 -20.970692 439.7699209019011919.89528 1458.82633 -705.4365 15.486 -2363.95495 -23.6395495 558.8282984472012056.98064 1527.4677 -721.842 15.486 -2654.7073 -26.547073 704.7470848991862200.44094 1597.68703 -738.2475 15.486 -2970.60344 -29.7060344 882.4484802105812350.42106 1669.48432 -754.653 15.486 -3312.94854 -33.1294854 1097.562803108592507.06589 1742.85958 -771.0585 15.486 -3683.07555 -36.8307555 1356.50455162113

Page 12: Trabajo y Energía..xlsx

2670.52032 1817.8128 -787.464 15.486 -4082.34499 -40.8234499 1666.554064938372840.92923 1894.34398 -803.8695 15.486 -7353.07397 -73.5307397 5406.76968572347

Page 13: Trabajo y Energía..xlsx

Posición Tiempo (s) X x0 0.025 12.8 -0.00870688 0.65533125 -11.207 5.0456 -5.514775631 0.05 12.2 -0.069655 2.621325 -22.414 5.0456 -14.816732 0.075 11.7 -0.23508562 5.89798125 -33.621 5.0456 -22.91250443 0.1 11.1 -0.55724 10.4853 -44.828 5.0456 -29.854344 0.125 10.2 -1.08835938 16.3832813 -56.035 5.0456 -35.69447815 0.15 9.3 -1.880685 23.591925 -67.242 5.0456 -40.485166 0.175 8.3 -2.98645812 32.1112312 -78.449 5.0456 -44.27862697 0.2 7.1 -4.45792 41.9412 -89.656 5.0456 -47.127128 0.225 6 -6.34731188 53.0818313 -100.863 5.0456 -49.08288069 0.25 4.3 -8.706875 65.533125 -112.07 5.0456 -50.19815

10 0.275 3.4 -11.5888506 79.2950813 -123.277 5.0456 -50.525169411 0.3 2.3 -15.04548 94.3677 -134.484 5.0456 -50.1161812 0.325 1 -19.1290044 110.750981 -145.691 5.0456 -49.023423113 0.35 -0.2 -23.891665 128.444925 -156.898 5.0456 -47.2991414 0.375 -1.3 -29.3857031 147.449531 -168.105 5.0456 -44.995571915 0.4 -2.4 -35.66336 167.7648 -179.312 5.0456 -42.1649616 0.425 -3.4 -42.7768769 189.390731 -190.519 5.0456 -38.859545617 0.45 -4.3 -50.778495 212.327325 -201.726 5.0456 -35.1315718 0.475 -5.2 -59.7204556 236.574581 -212.933 5.0456 -31.033274419 0.5 -5.9 -69.655 262.1325 -224.14 5.0456 -26.616920 0.525 -6.5 -80.6343694 289.001081 -235.347 5.0456 -21.934688121 0.55 -7.1 -92.710805 317.180325 -246.554 5.0456 -17.0388822 0.575 -7.4 -105.936548 346.670231 -257.761 5.0456 -11.981716923 0.6 -7.7 -120.36384 377.4708 -268.968 5.0456 -6.8154424 0.625 -7.9 -136.044922 409.582031 -280.175 5.0456 -1.5922906225 0.65 -7.9 -153.032035 443.003925 -291.382 5.0456 3.6354926 0.675 -7.8 -171.377421 477.736481 -302.589 5.0456 8.8156606227 0.7 -7.5 -191.13332 513.7797 -313.796 5.0456 13.8959828 0.725 -7.1 -212.351974 551.133581 -325.003 5.0456 18.824206929 0.75 -6.6 -235.085625 589.798125 -336.21 5.0456 23.548130 0.775 -5.8 -259.386513 629.773331 -347.417 5.0456 28.015418131 0.8 -5.1 -285.30688 671.0592 -358.624 5.0456 32.1739232 0.825 -4.2 -312.898967 713.655731 -369.831 5.0456 35.971364433 0.85 -3.1 -342.215015 757.562925 -381.038 5.0456 39.3555134 0.875 -2 -373.307266 802.780781 -392.245 5.0456 42.274115635 0.9 -1 -406.22796 849.3093 -403.452 5.0456 44.6749436 0.925 0.2 -441.029339 897.148481 -414.659 5.0456 46.505741937 0.95 1.4 -477.763645 946.298325 -425.866 5.0456 47.7142838 0.975 2.5 -516.483118 996.758831 -437.073 5.0456 48.248313139 1 3.8 -557.24 1048.53 -448.28 5.0456 48.055640 1.025 4.9 -600.086532 1101.61183 -459.487 5.0456 47.083899441 1.05 6 -645.074955 1156.00433 -470.694 5.0456 45.2809742 1.075 7 -692.257511 1211.70748 -481.901 5.0456 42.594570643 1.1 8 -741.68644 1268.7213 -493.108 5.0456 38.9724644 1.125 8.9 -793.413984 1327.04578 -504.315 5.0456 34.362396945 1.15 9.6 -847.492385 1386.68092 -515.522 5.0456 28.7121446 1.175 10.4 -903.973883 1447.62673 -526.729 5.0456 21.9694481

Page 14: Trabajo y Energía..xlsx

47 1.2 10.9 -962.91072 1509.8832 -537.936 5.0456 14.0820848 1.225 11.3 -1024.35514 1573.45033 -549.143 5.0456 4.99779438

Page 15: Trabajo y Energía..xlsx

en m potencia SUMA P 1/2m ek-0.05514776 0.00304128 0.00304302 0.05516357 0.473 0.00143935

-0.1481673 0.02195355 0.0415555 0.20385166 0.473 0.01965575-0.22912504 0.05249829 0.12063548 0.34732619 0.473 0.05706058

-0.2985434 0.08912816 0.22135339 0.47048208 0.473 0.10470015-0.35694478 0.12740958 0.32779159 0.57253086 0.473 0.15504542

-0.4048516 0.16390482 0.4273574 0.65372578 0.473 0.20214005-0.44278627 0.19605968 0.51089858 0.7147717 0.473 0.24165503

-0.4712712 0.22209654 0.57262763 0.75672163 0.473 0.27085287-0.49082881 0.24091292 0.60987087 0.7809423 0.473 0.28846892

-0.5019815 0.25198543 0.62266712 0.7890926 0.473 0.29452155-0.50525169 0.25527927 0.61324964 0.78310257 0.473 0.29006708

-0.5011618 0.25116315 0.58545336 0.76514924 0.473 0.27691944-0.49023423 0.2403296 0.544098 0.73762999 0.473 0.25735835

-0.4729914 0.22372086 0.49440543 0.7031397 0.473 0.23385377-0.44995572 0.20246015 0.44151806 0.66446825 0.473 0.20883804

-0.4216496 0.17778839 0.39019239 0.62465382 0.473 0.184561-0.38859546 0.15100643 0.34474988 0.58715405 0.473 0.16306669

-0.3513157 0.12342272 0.30937411 0.55621409 0.473 0.14633396-0.31033274 0.09630641 0.28885116 0.53744875 0.473 0.1366266

-0.266169 0.07084594 0.28985648 0.53838321 0.473 0.13710212-0.21934688 0.04811305 0.32289895 0.56824198 0.473 0.1527312

-0.1703888 0.02903234 0.40503908 0.6364268 0.473 0.19158348-0.11981717 0.01435615 0.56350507 0.75066975 0.473 0.2665379

-0.0681544 0.00464502 0.84033679 0.91669886 0.473 0.3974793-0.01592291 0.00025354 1.29819361 1.139383 0.473 0.61404558

0.0363549 0.00132168 2.02746836 1.42389198 0.473 0.958992530.08815661 0.00777159 3.15485527 1.77619123 0.473 1.49224654

0.1389598 0.01930983 4.85352544 2.20307182 0.473 2.295717530.18824207 0.03543508 7.35506885 2.71202302 0.473 3.47894756

0.235481 0.0554513 10.9633672 3.31109759 0.473 5.18567270.28015418 0.07848637 16.0705672 4.0088112 0.473 7.60137829

0.3217392 0.10351611 23.1753282 4.81407605 0.473 10.96193030.35971364 0.12939391 32.9035242 5.73615936 0.473 15.5633669

0.3935551 0.15488562 46.0315827 6.78465789 0.473 21.77293860.42274116 0.17871009 63.5126508 7.96948247 0.473 30.0414838

0.4467494 0.19958503 86.5057783 9.30084825 0.473 40.91723310.46505742 0.2162784 116.408317 10.7892686 0.473 55.0611339

0.4771428 0.22766525 154.891736 12.4455508 0.473 73.2637910.48248313 0.23278997 203.941056 14.2807933 0.473 96.4641194

0.480556 0.23093407 265.898115 16.3063826 0.473 125.7698080.47083899 0.22168936 343.508869 18.5339923 0.473 162.479695

0.4528097 0.20503662 439.974958 20.97558 0.473 208.1081550.42594571 0.18142974 559.009728 23.6433866 0.473 264.411601

0.3897246 0.15188526 704.89897 26.5499335 0.473 333.4172130.34362397 0.11807743 882.566558 29.7080218 0.473 417.453982

0.2871214 0.0824387 1097.64524 33.1307296 0.473 519.1861990.21969448 0.04826567 1356.55282 36.8314107 0.473 641.649483

Page 16: Trabajo y Energía..xlsx

0.1408208 0.0198305 1666.5739 40.8236928 0.473 788.2894530.04997794 0.00249779 5406.77218 73.5307567 0.473 2557.40324

Page 17: Trabajo y Energía..xlsx

e.p. gravitatoria. e.p. elástica28.6237 2.88813133 9.28026 0.2680261 12.8 -11.8 163.8429.0237 2.92849133 9.28026 0.27177161 12.2 -11.4 148.8429.7237 2.99912133 9.28026 0.27832626 11.7 -10.7 136.8930.3237 3.05966133 9.28026 0.28394453 11.1 -10.1 123.2131.4237 3.17065133 9.28026 0.29424469 10.2 -9 104.0432.7237 3.30182133 9.28026 0.3064176 9.3 -7.7 86.4933.8237 3.41281133 9.28026 0.31671776 8.3 -6.6 68.8935.2237 3.55407133 9.28026 0.32982706 7.1 -5.2 50.4136.7237 3.70542133 9.28026 0.34387273 6 -3.7 3638.1237 3.84668133 9.28026 0.35698203 4.3 -2.3 18.4939.6237 3.99803133 9.28026 0.3710277 3.4 -0.8 11.5640.9237 4.12920133 9.28026 0.38320062 2.3 0.5 5.2942.3237 4.27046133 9.28026 0.39630991 1 1.9 143.5237 4.39154133 9.28026 0.40754645 -0.2 3.1 0.0444.6237 4.50253133 9.28026 0.41784661 -1.3 4.2 1.6945.5237 4.59334133 9.28026 0.42627402 -2.4 5.1 5.7646.1237 4.65388133 9.28026 0.43189229 -3.4 5.7 11.5646.5237 4.69424133 9.28026 0.4356378 -4.3 6.1 18.4946.8237 4.72451133 9.28026 0.43844694 -5.2 6.4 27.0446.8237 4.72451133 9.28026 0.43844694 -5.9 6.4 34.8146.6237 4.70433133 9.28026 0.43657418 -6.5 6.2 42.2546.2237 4.66397133 9.28026 0.43282867 -7.1 5.8 50.4145.6237 4.60343133 9.28026 0.4272104 -7.4 5.2 54.7644.6237 4.50253133 9.28026 0.41784661 -7.7 4.2 59.2943.7237 4.41172133 9.28026 0.40941921 -7.9 3.3 62.4142.6237 4.30073133 9.28026 0.39911905 -7.9 2.2 62.4141.4237 4.17965133 9.28026 0.38788251 -7.8 1 60.8440.1237 4.04848133 9.28026 0.37570959 -7.5 -0.3 56.2538.8237 3.91731133 9.28026 0.36353668 -7.1 -1.6 50.4137.4237 3.77605133 9.28026 0.35042738 -6.6 -3 43.5636.1237 3.64488133 9.28026 0.33825446 -5.8 -4.3 33.6434.8237 3.51371133 9.28026 0.32608155 -5.1 -5.6 26.0133.6237 3.39263133 9.28026 0.31484501 -4.2 -6.8 17.6432.5237 3.28164133 9.28026 0.30454485 -3.1 -7.9 9.6130.9237 3.12020133 9.28026 0.2895628 -2 -9.5 430.3237 3.05966133 9.28026 0.28394453 -1 -10.1 129.9237 3.01930133 9.28026 0.28019901 0.2 -10.5 0.0429.7237 2.99912133 9.28026 0.27832626 1.4 -10.7 1.9629.8237 3.00921133 9.28026 0.27926264 2.5 -10.6 6.2529.8237 3.00921133 9.28026 0.27926264 3.8 -10.6 14.4429.9237 3.01930133 9.28026 0.28019901 4.9 -10.5 24.0130.4237 3.06975133 9.28026 0.2848809 6 -10 3631.0237 3.13029133 9.28026 0.29049917 7 -9.4 4931.9237 3.22110133 9.28026 0.29892658 8 -8.5 6432.9237 3.32200133 9.28026 0.30829036 8.9 -7.5 79.2134.1237 3.44308133 9.28026 0.3195269 9.6 -6.3 92.1635.3237 3.56416133 9.28026 0.33076344 10.4 -5.1 108.16

Page 18: Trabajo y Energía..xlsx

36.7237 3.70542133 9.28026 0.34387273 10.9 -3.7 118.8138.0237 3.83659133 9.28026 0.35604565 11.3 -2.4 127.69

Page 19: Trabajo y Energía..xlsx

e.p. elástica Eptotal etotal ek139.24 0.030308 0.0357185 0.00108256 0.26910865 0.270548 0.00143935129.96 0.02788 0.0357185 0.00099583 0.27276744 0.29242319 0.01965575114.49 0.025138 0.0357185 0.00089789 0.27922415 0.33628473 0.05706058102.01 0.022522 0.0357185 0.00080445 0.28474898 0.38944913 0.10470015

81 0.018504 0.0357185 0.00066094 0.29490562 0.44995104 0.1550454259.29 0.014578 0.0357185 0.0005207 0.30693831 0.50907836 0.2021400543.56 0.011245 0.0357185 0.00040165 0.31711942 0.55877445 0.2416550327.04 0.007745 0.0357185 0.00027664 0.3301037 0.60095657 0.2708528713.69 0.004969 0.0357185 0.00017749 0.34405022 0.63251914 0.28846892

5.29 0.002378 0.0357185 8.49386E-05 0.35706697 0.65158852 0.294521550.64 0.00122 0.0357185 4.35766E-05 0.37107128 0.66113836 0.290067080.25 0.000554 0.0357185 1.9788E-05 0.38322041 0.66013985 0.276919443.61 0.000461 0.0357185 1.64662E-05 0.39632638 0.65368474 0.257358359.61 0.000965 0.0357185 3.44684E-05 0.40758092 0.40758092 0.23385377

17.64 0.001933 0.0357185 6.90439E-05 0.41791566 0.41791566 0.2088380426.01 0.003177 0.0357185 0.00011348 0.4263875 0.4263875 0.18456132.49 0.004405 0.0357185 0.00015734 0.43204963 0.43204963 0.1630666937.21 0.00557 0.0357185 0.00019895 0.43583675 0.43583675 0.1463339640.96 0.0068 0.0357185 0.00024289 0.43868982 0.43868982 0.136626640.96 0.007577 0.0357185 0.00027064 0.43871757 0.43871757 0.1371021238.44 0.008069 0.0357185 0.00028821 0.43686239 0.43686239 0.152731233.64 0.008405 0.0357185 0.00030021 0.43312888 0.43312888 0.1915834827.04 0.00818 0.0357185 0.00029218 0.42750257 0.42750257 0.266537917.64 0.007693 0.0357185 0.00027478 0.4181214 0.4181214 0.397479310.89 0.00733 0.0357185 0.00026182 0.40968103 0.40968103 0.61404558

4.84 0.006725 0.0357185 0.00024021 0.39935926 0.39935926 0.958992531 0.006184 0.0357185 0.00022088 0.38810339 0.38810339 1.49224654

0.09 0.005634 0.0357185 0.00020124 0.37591083 2.67162837 2.295717532.56 0.005297 0.0357185 0.0001892 0.36372588 3.84267344 3.47894756

9 0.005256 0.0357185 0.00018774 0.35061512 5.53628781 5.185672718.49 0.005213 0.0357185 0.0001862 0.33844066 7.93981896 7.6013782931.36 0.005737 0.0357185 0.00020492 0.32628646 11.2882167 10.961930346.24 0.006388 0.0357185 0.00022817 0.31507318 15.8784401 15.563366962.41 0.007202 0.0357185 0.00025724 0.30480209 22.0777407 21.772938690.25 0.009425 0.0357185 0.00033665 0.28989944 30.3313833 30.0414838

102.01 0.010301 0.0357185 0.00036794 0.28431246 41.2015456 40.9172331110.25 0.011029 0.0357185 0.00039394 0.28059295 55.3417269 55.0611339114.49 0.011645 0.0357185 0.00041594 0.2787422 73.5425332 73.263791112.36 0.011861 0.0357185 0.00042366 0.27968629 96.7438057 96.4641194112.36 0.01268 0.0357185 0.00045291 0.27971555 126.049524 125.769808110.25 0.013426 0.0357185 0.00047956 0.28067857 162.760374 162.479695

100 0.0136 0.0357185 0.00048577 0.28536668 208.393522 208.10815588.36 0.013736 0.0357185 0.00049063 0.2909898 264.702591 264.41160172.25 0.013625 0.0357185 0.00048666 0.29941324 333.716626 333.41721356.25 0.013546 0.0357185 0.00048384 0.3087742 417.762756 417.45398239.69 0.013185 0.0357185 0.00047095 0.31999785 519.506197 519.18619926.01 0.013417 0.0357185 0.00047924 0.33124267 641.980725 641.649483

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

Column AV

Page 20: Trabajo y Energía..xlsx

13.69 0.01325 0.0357185 0.00047327 0.344346 788.633799 788.2894535.76 0.013345 0.0357185 0.00047666 0.35652231 2557.75977 2557.40324

Page 21: Trabajo y Energía..xlsx

ek Eptotal Eptotal0.05516357 0.00143935 0.26910865 0.05516357 0.269108650.20385166 0.01965575 0.27276744 0.20385166 0.272767440.34732619 0.05706058 0.27922415 0.34732619 0.279224150.47048208 0.10470015 0.28474898 0.47048208 0.284748980.57253086 0.15504542 0.29490562 0.57253086 0.294905620.65372578 0.20214005 0.30693831 0.65372578 0.306938310.7147717 0.24165503 0.31711942 0.7147717 0.31711942

0.75672163 0.27085287 0.3301037 0.75672163 0.33010370.7809423 0.28846892 0.34405022 0.7809423 0.344050220.7890926 0.29452155 0.35706697 0.7890926 0.35706697

0.78310257 0.29006708 0.37107128 0.78310257 0.371071280.76514924 0.27691944 0.38322041 0.76514924 0.383220410.73762999 0.25735835 0.39632638 0.73762999 0.396326380.7031397 0.23385377 0.40758092 0.7031397 0.40758092

0.66446825 0.20883804 0.41791566 0.66446825 0.417915660.62465382 0.184561 0.4263875 0.62465382 0.42638750.58715405 0.16306669 0.43204963 0.58715405 0.432049630.55621409 0.14633396 0.43583675 0.55621409 0.435836750.53744875 0.1366266 0.43868982 0.53744875 0.438689820.53838321 0.13710212 0.43871757 0.53838321 0.438717570.56824198 0.1527312 0.43686239 0.56824198 0.436862390.6364268 0.19158348 0.43312888 0.6364268 0.43312888

0.75066975 0.2665379 0.42750257 0.75066975 0.427502570.91669886 0.3974793 0.4181214 0.91669886 0.4181214

1.139383 0.61404558 0.40968103 1.139383 0.409681031.42389198 0.95899253 0.39935926 1.42389198 0.399359261.77619123 1.49224654 0.38810339 1.77619123 0.388103392.20307182 2.29571753 0.37591083 2.20307182 0.375910832.71202302 3.47894756 0.36372588 2.71202302 0.363725883.31109759 5.1856727 0.35061512 3.31109759 0.350615124.0088112 7.60137829 0.33844066 4.0088112 0.33844066

4.81407605 10.9619303 0.32628646 4.81407605 0.326286465.73615936 15.5633669 0.31507318 5.73615936 0.315073186.78465789 21.7729386 0.30480209 6.78465789 0.304802097.96948247 30.0414838 0.28989944 7.96948247 0.289899449.30084825 40.9172331 0.28431246 9.30084825 0.2843124610.7892686 55.0611339 0.28059295 10.7892686 0.2805929512.4455508 73.263791 0.2787422 12.4455508 0.278742214.2807933 96.4641194 0.27968629 14.2807933 0.2796862916.3063826 125.769808 0.27971555 16.3063826 0.2797155518.5339923 162.479695 0.28067857 18.5339923 0.28067857

20.97558 208.108155 0.28536668 20.97558 0.2853666823.6433866 264.411601 0.2909898 23.6433866 0.290989826.5499335 333.417213 0.29941324 26.5499335 0.2994132429.7080218 417.453982 0.3087742 29.7080218 0.308774233.1307296 519.186199 0.31999785 33.1307296 0.3199978536.8314107 641.649483 0.33124267 36.8314107 0.33124267

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

Column AV

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

0.5

Column BB

Page 22: Trabajo y Energía..xlsx

40.8236928 788.289453 0.344346 40.8236928 0.34434673.5307567 2557.40324 0.35652231 73.5307567 0.35652231

Page 23: Trabajo y Energía..xlsx

etotal0.05516357 0.270548 0.055163570.20385166 0.29242319 0.203851660.34732619 0.33628473 0.347326190.47048208 0.38944913 0.470482080.57253086 0.44995104 0.572530860.65372578 0.50907836 0.65372578

0.7147717 0.55877445 0.71477170.75672163 0.60095657 0.75672163

0.7809423 0.63251914 0.78094230.7890926 0.65158852 0.7890926

0.78310257 0.66113836 0.783102570.76514924 0.66013985 0.765149240.73762999 0.65368474 0.73762999

0.7031397 0.64143469 0.70313970.66446825 0.6267537 0.664468250.62465382 0.6109485 0.624653820.58715405 0.59511632 0.587154050.55621409 0.58217071 0.556214090.53744875 0.57531642 0.537448750.53838321 0.57581969 0.538383210.56824198 0.5895936 0.56824198

0.6364268 0.62471236 0.63642680.75066975 0.69404047 0.750669750.91669886 0.8156007 0.91669886

1.139383 1.0237266 1.1393831.42389198 1.35835179 1.423891981.77619123 1.88034994 1.776191232.20307182 2.67162837 2.203071822.71202302 3.84267344 2.712023023.31109759 5.53628781 3.31109759

4.0088112 7.93981896 4.00881124.81407605 11.2882167 4.814076055.73615936 15.8784401 5.736159366.78465789 22.0777407 6.784657897.96948247 30.3313833 7.969482479.30084825 41.2015456 9.3008482510.7892686 55.3417269 10.789268612.4455508 73.5425332 12.445550814.2807933 96.7438057 14.280793316.3063826 126.049524 16.306382618.5339923 162.760374 18.5339923

20.97558 208.393522 20.9755823.6433866 264.702591 23.643386626.5499335 333.716626 26.549933529.7080218 417.762756 29.708021833.1307296 519.506197 33.130729636.8314107 641.980725 36.8314107

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

0.5

Column BB

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

Column BH

Page 24: Trabajo y Energía..xlsx

40.8236928 788.633799 40.823692873.5307567 2557.75977 73.5307567

Page 25: Trabajo y Energía..xlsx

Posición Tiempo (s) x0 0.025 12.8 -0.00870688 0.65533125 -11.207 5.04561 0.05 12.2 -0.069655 2.621325 -22.414 5.04562 0.075 11.7 -0.23508562 5.89798125 -33.621 5.04563 0.1 11.1 -0.55724 10.4853 -44.828 5.04564 0.125 10.2 -1.08835938 16.3832813 -56.035 5.04565 0.15 9.3 -1.880685 23.591925 -67.242 5.04566 0.175 8.3 -2.98645812 32.1112312 -78.449 5.04567 0.2 7.1 -4.45792 41.9412 -89.656 5.04568 0.225 6 -6.34731188 53.0818313 -100.863 5.04569 0.25 4.3 -8.706875 65.533125 -112.07 5.0456

10 0.275 3.4 -11.5888506 79.2950813 -123.277 5.045611 0.3 2.3 -15.04548 94.3677 -134.484 5.045612 0.325 1 -19.1290044 110.750981 -145.691 5.045613 0.35 -0.2 -23.891665 128.444925 -156.898 5.045614 0.375 -1.3 -29.3857031 147.449531 -168.105 5.045615 0.4 -2.4 -35.66336 167.7648 -179.312 5.045616 0.425 -3.4 -42.7768769 189.390731 -190.519 5.045617 0.45 -4.3 -50.778495 212.327325 -201.726 5.045618 0.475 -5.2 -59.7204556 236.574581 -212.933 5.045619 0.5 -5.9 -69.655 262.1325 -224.14 5.045620 0.525 -6.5 -80.6343694 289.001081 -235.347 5.045621 0.55 -7.1 -92.710805 317.180325 -246.554 5.045622 0.575 -7.4 -105.936548 346.670231 -257.761 5.045623 0.6 -7.7 -120.36384 377.4708 -268.968 5.045624 0.625 -7.9 -136.044922 409.582031 -280.175 5.045625 0.65 -7.9 -153.032035 443.003925 -291.382 5.045626 0.675 -7.8 -171.377421 477.736481 -302.589 5.045627 0.7 -7.5 -191.13332 513.7797 -313.796 5.045628 0.725 -7.1 -212.351974 551.133581 -325.003 5.045629 0.75 -6.6 -235.085625 589.798125 -336.21 5.045630 0.775 -5.8 -259.386513 629.773331 -347.417 5.045631 0.8 -5.1 -285.30688 671.0592 -358.624 5.045632 0.825 -4.2 -312.898967 713.655731 -369.831 5.045633 0.85 -3.1 -342.215015 757.562925 -381.038 5.045634 0.875 -2 -373.307266 802.780781 -392.245 5.045635 0.9 -1 -406.22796 849.3093 -403.452 5.045636 0.925 0.2 -441.029339 897.148481 -414.659 5.045637 0.95 1.4 -477.763645 946.298325 -425.866 5.045638 0.975 2.5 -516.483118 996.758831 -437.073 5.045639 1 3.8 -557.24 1048.53 -448.28 5.045640 1.025 4.9 -600.086532 1101.61183 -459.487 5.045641 1.05 6 -645.074955 1156.00433 -470.694 5.045642 1.075 7 -692.257511 1211.70748 -481.901 5.045643 1.1 8 -741.68644 1268.7213 -493.108 5.045644 1.125 8.9 -793.413984 1327.04578 -504.315 5.045645 1.15 9.6 -847.492385 1386.68092 -515.522 5.045646 1.175 10.4 -903.973883 1447.62673 -526.729 5.0456

Page 26: Trabajo y Energía..xlsx

47 1.2 10.9 -962.91072 1509.8832 -537.936 5.045648 1.225 11.3 -1024.35514 1573.45033 -549.143 5.0456

Page 27: Trabajo y Energía..xlsx

-5.51477563-14.81673

-22.9125044-29.85434

-35.6944781-40.48516

-44.2786269-47.12712

-49.0828806-50.19815

-50.5251694-50.11618

-49.0234231-47.29914

-44.9955719-42.16496

-38.8595456-35.13157

-31.0332744-26.6169

-21.9346881-17.03888

-11.9817169-6.81544

-1.592290623.63549

8.8156606213.89598

18.824206923.5481

28.015418132.17392

35.971364439.35551

42.274115644.67494

46.505741947.71428

48.248313148.0556

47.083899445.28097

42.594570638.97246

34.362396928.71214

21.9694481

Page 28: Trabajo y Energía..xlsx

14.082084.99779438