﻿34:@0.058599:0.966559:0.074760:0.966559:0.074760:0.950779:0.058599:0.950779:0.000000:0.000000
Por lo tanto, tenemos que la energía potencial entre dos cargas sepa-:@0.404235:0.083721:0.891759:0.083721:0.891759:0.067223:0.404235:0.067223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radas por una distancia   (Figura 1.21.) será::@0.404235:0.101071:0.708891:0.101071:0.708891:0.084574:0.404235:0.084574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.573345:0.101187:0.579375:0.101187:0.579375:0.084718:0.573345:0.084718:0.000000
E:@0.406799:0.126710:0.414756:0.126710:0.414756:0.110241:0.406799:0.110241:0.000000
e:@0.414914:0.128880:0.419207:0.128880:0.419207:0.119348:0.414914:0.119348:0.000000
=:@0.423761:0.126566:0.438749:0.126566:0.438749:0.109171:0.423761:0.109171:0.000000
k:@0.442025:0.126710:0.450270:0.126710:0.450270:0.110241:0.442025:0.110241:0.000000
Qq:@0.453078:0.117713:0.476235:0.117713:0.476235:0.101244:0.453078:0.101244:0.000000:0.000000
r:@0.461297:0.137908:0.467327:0.137908:0.467327:0.121439:0.461297:0.121439:0.000000
Potencial eléctrico (V) :@0.404235:0.171122:0.587207:0.171122:0.587207:0.153440:0.404235:0.153440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El potencial en determinado punto es igual a la energía potencial en :@0.404235:0.187830:0.895824:0.187830:0.895824:0.171332:0.404235:0.171332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dicho punto por unidad de carga.:@0.404235:0.205181:0.644006:0.205181:0.644006:0.188683:0.404235:0.188683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.406380:0.234423:0.417130:0.234423:0.417130:0.217954:0.406380:0.217954:0.000000
=:@0.420984:0.234279:0.435972:0.234279:0.435972:0.216884:0.420984:0.216884:0.000000
E:@0.440345:0.225386:0.448302:0.225386:0.448302:0.208918:0.440345:0.208918:0.000000
e:@0.448471:0.227557:0.452764:0.227557:0.452764:0.218025:0.448471:0.218025:0.000000
q:@0.443130:0.245621:0.452300:0.245621:0.452300:0.229152:0.443130:0.229152:0.000000
V:@0.406380:0.278390:0.417130:0.278390:0.417130:0.261921:0.406380:0.261921:0.000000
=:@0.420984:0.278245:0.435972:0.278245:0.435972:0.260851:0.420984:0.260851:0.000000
3,6:@0.442657:0.269223:0.464427:0.269223:0.464427:0.252783:0.442657:0.252783:0.000000:0.000000:0.000000
×:@0.467471:0.269252:0.482459:0.269252:0.482459:0.251858:0.467471:0.251858:0.000000
10:@0.484116:0.269223:0.500491:0.269223:0.500491:0.252783:0.484116:0.252783:0.000000:0.000000
−:@0.500770:0.261223:0.509445:0.261223:0.509445:0.251155:0.500770:0.251155:0.000000
4:@0.509356:0.261206:0.514196:0.261206:0.514196:0.251691:0.509356:0.251691:0.000000
2:@0.449466:0.289414:0.457827:0.289414:0.457827:0.272974:0.449466:0.272974:0.000000
×:@0.460871:0.289443:0.475859:0.289443:0.475859:0.272049:0.460871:0.272049:0.000000
10:@0.477516:0.289414:0.493892:0.289414:0.493892:0.272974:0.477516:0.272974:0.000000:0.000000
−:@0.494173:0.281419:0.502848:0.281419:0.502848:0.271351:0.494173:0.271351:0.000000
9:@0.502759:0.281402:0.507599:0.281402:0.507599:0.271887:0.502759:0.271887:0.000000
V:@0.524275:0.278390:0.535025:0.278390:0.535025:0.261921:0.524275:0.261921:0.000000
V:@0.406372:0.311269:0.417122:0.311269:0.417122:0.294801:0.406372:0.294801:0.000000
=:@0.420975:0.311125:0.435964:0.311125:0.435964:0.293731:0.420975:0.293731:0.000000
180 000:@0.438044:0.311096:0.492758:0.311096:0.492758:0.294656:0.438044:0.294656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.497381:0.311269:0.508131:0.311269:0.508131:0.294801:0.497381:0.294801:0.000000
Las unidades de potencial se expresan en joules por coulomb, y se :@0.404235:0.269221:0.895921:0.269221:0.895921:0.252724:0.404235:0.252724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocen como voltio ( ).:@0.404235:0.286572:0.586850:0.286572:0.586850:0.270075:0.404235:0.270075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.567392:0.286688:0.578142:0.286688:0.578142:0.270219:0.567392:0.270219:0.000000
Ejemplo de aplicación :@0.404235:0.321556:0.569379:0.321556:0.569379:0.305347:0.404235:0.305347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una carga positiva de +2 nC está separada 20 cm de otra carga po-:@0.404235:0.338624:0.891753:0.338624:0.891753:0.322127:0.404235:0.322127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sitiva de +4 μC. ¿Cuál es la energía potencial de la carga q y cuál es el :@0.404235:0.355975:0.895961:0.355975:0.895961:0.339478:0.404235:0.339478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potencial eléctrico en ese punto? :@0.404235:0.373326:0.642157:0.373326:0.642157:0.356828:0.404235:0.356828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+Q:@0.492523:0.447726:0.532731:0.447726:0.532731:0.418699:0.492523:0.418699:0.000000:0.000000
+q:@0.754983:0.447726:0.790394:0.447726:0.790394:0.418699:0.754983:0.418699:0.000000:0.000000
0,2 metros:@0.600201:0.504417:0.664865:0.504417:0.664865:0.489819:0.600201:0.489819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Datos:@0.404235:0.572321:0.447116:0.572321:0.447116:0.556112:0.404235:0.556112:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.404235:0.589505:0.413405:0.589505:0.413405:0.573036:0.404235:0.573036:0.000000
 = 2 × 10  :@0.413405:0.589389:0.492291:0.589389:0.492291:0.572892:0.413405:0.572892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–9:@0.477074:0.583036:0.488148:0.583036:0.488148:0.573418:0.477074:0.573418:0.000000:0.000000
C:@0.492291:0.589505:0.502328:0.589505:0.502328:0.573036:0.492291:0.573036:0.000000
Q:@0.404229:0.606856:0.416116:0.606856:0.416116:0.590387:0.404229:0.590387:0.000000
 = 4 × 10  :@0.416116:0.606740:0.495007:0.606740:0.495007:0.590242:0.416116:0.590242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–6:@0.479791:0.600387:0.490866:0.600387:0.490866:0.590769:0.479791:0.590769:0.000000:0.000000
C:@0.495007:0.606856:0.505044:0.606856:0.505044:0.590387:0.495007:0.590387:0.000000
Reemplazamos los datos en la ecuación de la energía potencial: :@0.404229:0.624091:0.855608:0.624091:0.855608:0.607593:0.404229:0.607593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.406799:0.649730:0.414756:0.649730:0.414756:0.633261:0.406799:0.633261:0.000000
e:@0.414914:0.651900:0.419207:0.651900:0.419207:0.642368:0.414914:0.642368:0.000000
=:@0.423761:0.649585:0.438749:0.649585:0.438749:0.632191:0.423761:0.632191:0.000000
k:@0.442025:0.649730:0.450270:0.649730:0.450270:0.633261:0.442025:0.633261:0.000000
Qq:@0.453078:0.640733:0.476235:0.640733:0.476235:0.624264:0.453078:0.624264:0.000000:0.000000
r:@0.461297:0.660927:0.467327:0.660927:0.467327:0.644459:0.461297:0.644459:0.000000
Tenemos::@0.404235:0.691105:0.471950:0.691105:0.471950:0.674607:0.404235:0.674607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.406799:0.719377:0.414756:0.719377:0.414756:0.702908:0.406799:0.702908:0.000000
e:@0.414914:0.721547:0.419207:0.721547:0.419207:0.712015:0.414914:0.712015:0.000000
= ×:@0.423761:0.719232:0.468013:0.719232:0.468013:0.701838:0.423761:0.701838:0.000000:0.000000:0.000000
9:@0.442025:0.719203:0.450386:0.719203:0.450386:0.702763:0.442025:0.702763:0.000000
10:@0.469670:0.719203:0.486046:0.719203:0.486046:0.702763:0.469670:0.702763:0.000000:0.000000
9:@0.487001:0.711191:0.491841:0.711191:0.491841:0.701675:0.487001:0.701675:0.000000
2:@0.498257:0.710205:0.506618:0.710205:0.506618:0.693765:0.498257:0.693765:0.000000
×:@0.509662:0.710234:0.524651:0.710234:0.524651:0.692839:0.509662:0.692839:0.000000
10:@0.526308:0.710205:0.542683:0.710205:0.542683:0.693765:0.526308:0.693765:0.000000:0.000000
−:@0.542964:0.702210:0.551640:0.702210:0.551640:0.692142:0.542964:0.692142:0.000000
9:@0.551551:0.702193:0.556390:0.702193:0.556390:0.692678:0.551551:0.692678:0.000000
⋅ ×:@0.559769:0.710234:0.595159:0.710234:0.595159:0.692839:0.559769:0.692839:0.000000:0.000000:0.000000
4:@0.568766:0.710205:0.577127:0.710205:0.577127:0.693765:0.568766:0.693765:0.000000
10:@0.596816:0.710205:0.613191:0.710205:0.613191:0.693765:0.596816:0.693765:0.000000:0.000000
−:@0.613482:0.702210:0.622157:0.702210:0.622157:0.692142:0.613482:0.692142:0.000000
6:@0.622068:0.702193:0.626908:0.702193:0.626908:0.692678:0.622068:0.692678:0.000000
0,2:@0.552703:0.730401:0.574472:0.730401:0.574472:0.713961:0.552703:0.713961:0.000000:0.000000:0.000000
E:@0.406799:0.752538:0.414756:0.752538:0.414756:0.736069:0.406799:0.736069:0.000000
e:@0.414914:0.754708:0.419207:0.754708:0.419207:0.745176:0.414914:0.745176:0.000000
=:@0.423761:0.752393:0.438749:0.752393:0.438749:0.734999:0.423761:0.734999:0.000000
3,6:@0.441620:0.752365:0.463390:0.752365:0.463390:0.735925:0.441620:0.735925:0.000000:0.000000:0.000000
×:@0.466434:0.752393:0.481422:0.752393:0.481422:0.734999:0.466434:0.734999:0.000000
10:@0.483079:0.752365:0.499454:0.752365:0.499454:0.735925:0.483079:0.735925:0.000000:0.000000
−:@0.499723:0.744369:0.508398:0.744369:0.508398:0.734301:0.499723:0.734301:0.000000
4:@0.508309:0.744352:0.513149:0.744352:0.513149:0.734837:0.508309:0.734837:0.000000
J:@0.517523:0.752538:0.521568:0.752538:0.521568:0.736069:0.517523:0.736069:0.000000
El potencial eléctrico en la posición que ocupa la carga q generado :@0.404235:0.791060:0.895840:0.791060:0.895840:0.774563:0.404235:0.774563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por la carga Q es: :@0.404235:0.808411:0.530536:0.808411:0.530536:0.791914:0.404235:0.791914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404235:0.924040:0.408377:0.924040:0.408377:0.907542:0.404235:0.907542:0.000000
V:@0.410522:0.841217:0.421272:0.841217:0.421272:0.824748:0.410522:0.824748:0.000000
=:@0.425125:0.841072:0.440113:0.841072:0.440113:0.823678:0.425125:0.823678:0.000000
E:@0.444486:0.832180:0.452443:0.832180:0.452443:0.815711:0.444486:0.815711:0.000000
e:@0.452612:0.834351:0.456905:0.834351:0.456905:0.824819:0.452612:0.824819:0.000000
q:@0.447273:0.852415:0.456443:0.852415:0.456443:0.835947:0.447273:0.835947:0.000000
V:@0.410522:0.885183:0.421272:0.885183:0.421272:0.868715:0.410522:0.868715:0.000000
=:@0.425125:0.885039:0.440113:0.885039:0.440113:0.867645:0.425125:0.867645:0.000000
3,6:@0.446798:0.876016:0.468568:0.876016:0.468568:0.859576:0.446798:0.859576:0.000000:0.000000:0.000000
×:@0.471612:0.876045:0.486600:0.876045:0.486600:0.858651:0.471612:0.858651:0.000000
10:@0.488257:0.876016:0.504632:0.876016:0.504632:0.859576:0.488257:0.859576:0.000000:0.000000
−:@0.504911:0.868018:0.513587:0.868018:0.513587:0.857950:0.504911:0.857950:0.000000
4:@0.513497:0.868001:0.518337:0.868001:0.518337:0.858486:0.513497:0.858486:0.000000
2:@0.453607:0.896207:0.461968:0.896207:0.461968:0.879767:0.453607:0.879767:0.000000
×:@0.465012:0.896236:0.480001:0.896236:0.480001:0.878842:0.465012:0.878842:0.000000
10:@0.481657:0.896207:0.498033:0.896207:0.498033:0.879767:0.481657:0.879767:0.000000:0.000000
−:@0.498316:0.888213:0.506991:0.888213:0.506991:0.878145:0.498316:0.878145:0.000000
9:@0.506902:0.888196:0.511742:0.888196:0.511742:0.878681:0.506902:0.878681:0.000000
V:@0.528417:0.885183:0.539167:0.885183:0.539167:0.868715:0.528417:0.868715:0.000000
V:@0.410513:0.918063:0.421263:0.918063:0.421263:0.901594:0.410513:0.901594:0.000000
=:@0.425116:0.917918:0.440105:0.917918:0.440105:0.900524:0.425116:0.900524:0.000000
180 000:@0.442185:0.917889:0.496899:0.917889:0.496899:0.901450:0.442185:0.901450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.501522:0.918063:0.512272:0.918063:0.512272:0.901594:0.501522:0.901594:0.000000
Archivo editorial:@0.906920:0.520543:0.906920:0.474238:0.895452:0.474238:0.895452:0.520543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.414020:0.536299:0.416901:0.536299:0.416901:0.524823:0.414020:0.524823:0.000000
Figura 1.22.:@0.416901:0.536299:0.471380:0.536299:0.471380:0.524823:0.416901:0.524823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pixabay, 2154417:@0.143289:0.394339:0.143289:0.347673:0.131820:0.347673:0.131820:0.394339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para el cálculo de la :@0.196083:0.123089:0.326474:0.123089:0.326474:0.108026:0.196083:0.108026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
energía potencial y potencial :@0.153339:0.138931:0.342891:0.138931:0.342891:0.123868:0.153339:0.123868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eléctrico es necesario trabajar :@0.153339:0.154773:0.347830:0.154773:0.347830:0.139710:0.153339:0.139710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con cantidades expresadas en :@0.153339:0.170615:0.350308:0.170615:0.350308:0.155552:0.153339:0.155552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
notación científica. Por ello, es :@0.153339:0.186457:0.352507:0.186457:0.352507:0.171394:0.153339:0.171394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conveniente que revises estos :@0.153339:0.202299:0.348020:0.202299:0.348020:0.187236:0.153339:0.187236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
procesos o emplees una calcu-:@0.153339:0.218141:0.352314:0.218141:0.352314:0.203078:0.153339:0.203078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ladora que te permita realizar :@0.153339:0.233983:0.347304:0.233983:0.347304:0.218920:0.153339:0.218920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
este tipo de operaciones.:@0.153339:0.249825:0.315269:0.249825:0.315269:0.234762:0.153339:0.234762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde:@0.153344:0.421677:0.220133:0.421677:0.220133:0.406416:0.153344:0.406416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con tus palabras, :@0.220133:0.421479:0.336069:0.421479:0.336069:0.406416:0.220133:0.406416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿qué es la energía potencial? :@0.153344:0.437321:0.337967:0.437321:0.337967:0.422258:0.153344:0.422258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribe:@0.153344:0.456926:0.201470:0.456926:0.201470:0.441665:0.153344:0.441665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un ejemplo.:@0.201470:0.456728:0.281749:0.456728:0.281749:0.441665:0.201470:0.441665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.195568:0.084938:0.297840:0.084938:0.297840:0.068729:0.195568:0.068729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.195568:0.097510:0.283634:0.097510:0.283634:0.081301:0.195568:0.081301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.196294:0.609221:0.293917:0.609221:0.293917:0.593748:0.196294:0.593748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
socioemocional:@0.196294:0.621789:0.306669:0.621789:0.306669:0.606316:0.196294:0.606316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El poder de la palabra :@0.199880:0.646263:0.344062:0.646263:0.344062:0.631200:0.199880:0.631200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede cambiar tu estado de :@0.153337:0.662105:0.340247:0.662105:0.340247:0.647042:0.153337:0.647042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ánimo e impulsarte a actuar; :@0.153337:0.677947:0.341514:0.677947:0.341514:0.662884:0.153337:0.662884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por ello, cuando te presentes  :@0.153337:0.693789:0.348231:0.693789:0.348231:0.678726:0.153337:0.678726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a un examen ofrécete palabras :@0.153337:0.709631:0.354810:0.709631:0.354810:0.694568:0.153337:0.694568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de aliento y, sobre todo, trabaja :@0.153337:0.725473:0.359840:0.725473:0.359840:0.710410:0.153337:0.710410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y prepárate muy bien para que :@0.153337:0.741315:0.356060:0.741315:0.356060:0.726252:0.153337:0.726252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tengas excelentes resultados.:@0.153337:0.757157:0.339188:0.757157:0.339188:0.742094:0.153337:0.742094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pixabay, 297729:@0.143289:0.901641:0.143289:0.858302:0.131820:0.858302:0.131820:0.901641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000