﻿13:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Física:@0.840817:0.956142:0.879897:0.956142:0.879897:0.943479:0.840817:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748005:0.068322:0.791649:0.068322:0.791649:0.048070:0.748005:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En primer lugar, para resolver el ejercicio realizamos un gráfico de las condiciones :@0.096359:0.100406:0.716541:0.100406:0.716541:0.084017:0.096359:0.084017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del problema. Luego hacemos el diagrama de cuerpo libre en cada condición, y apli-:@0.096359:0.116753:0.712596:0.116753:0.712596:0.100364:0.096359:0.100364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
camos la segunda ley de Newton de la siguiente manera::@0.096359:0.133100:0.514751:0.133100:0.514751:0.116711:0.096359:0.116711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∑:@0.098838:0.446871:0.122865:0.446871:0.122865:0.420734:0.098838:0.420734:0.000000
=:@0.139295:0.441263:0.153059:0.441263:0.153059:0.425291:0.139295:0.425291:0.000000
−:@0.219610:0.441263:0.233374:0.441263:0.233374:0.425291:0.219610:0.425291:0.000000
=:@0.263624:0.441263:0.277388:0.441263:0.277388:0.425291:0.263624:0.425291:0.000000
=⋅ =:@0.108991:0.472491:0.168396:0.472491:0.168396:0.456519:0.108991:0.456519:0.000000:0.000000:0.000000:0.000000
⋅:@0.215948:0.472491:0.220866:0.472491:0.220866:0.456519:0.215948:0.456519:0.000000
=:@0.262988:0.472491:0.276751:0.472491:0.276751:0.456519:0.262988:0.456519:0.000000
F:@0.124170:0.441396:0.131105:0.441396:0.131105:0.426273:0.124170:0.426273:0.000000
F peso:@0.210217:0.441396:0.263111:0.441396:0.263111:0.426273:0.210217:0.426273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.098731:0.472624:0.105666:0.472624:0.105666:0.457501:0.098731:0.457501:0.000000
m g:@0.124011:0.472624:0.151537:0.472624:0.151537:0.457501:0.124011:0.457501:0.000000:0.000000:0.000000
kg:@0.198028:0.472624:0.212198:0.472624:0.212198:0.457501:0.198028:0.457501:0.000000:0.000000
m:@0.247384:0.464286:0.260971:0.464286:0.260971:0.449163:0.247384:0.449163:0.000000
s:@0.247685:0.483259:0.253541:0.483259:0.253541:0.468136:0.247685:0.468136:0.000000
N:@0.320358:0.472624:0.331291:0.472624:0.331291:0.457501:0.320358:0.457501:0.000000
0:@0.155830:0.441290:0.163632:0.441290:0.163632:0.426141:0.155830:0.426141:0.000000
0:@0.280159:0.441290:0.287960:0.441290:0.287960:0.426141:0.280159:0.426141:0.000000
2,8:@0.170807:0.472521:0.191328:0.472521:0.191328:0.457372:0.170807:0.457372:0.000000:0.000000:0.000000
9,8:@0.223524:0.472521:0.244063:0.472521:0.244063:0.457372:0.223524:0.457372:0.000000:0.000000:0.000000
27,44:@0.277657:0.472521:0.314011:0.472521:0.314011:0.457372:0.277657:0.457372:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.130450:0.443596:0.134942:0.443596:0.134942:0.433973:0.130450:0.433973:0.000000
2:@0.253777:0.475965:0.258742:0.475965:0.258742:0.466324:0.253777:0.466324:0.000000
Existen tres casos que son::@0.096359:0.512100:0.289460:0.512100:0.289460:0.495711:0.096359:0.495711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.124848:0.539138:0.142889:0.539138:0.142889:0.522238:0.124848:0.522238:0.000000:0.000000:0.000000
Sometido a una fuerza igual al peso de la masa de 2,8 kg.:@0.153337:0.539138:0.570016:0.539138:0.570016:0.522749:0.153337:0.522749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.124848:0.559054:0.142889:0.559054:0.142889:0.542153:0.124848:0.542153:0.000000:0.000000:0.000000
Bajo una fuerza igual al peso de la masa de 3,8 kg.:@0.153337:0.559054:0.517184:0.559054:0.517184:0.542665:0.153337:0.542665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.124848:0.578970:0.142889:0.578970:0.142889:0.562069:0.124848:0.562069:0.000000:0.000000:0.000000
Al aplicar la fuerza de 30 N junto con la fuerza de peso de la masa de 3,8 kg. :@0.153337:0.578970:0.708888:0.578970:0.708888:0.562581:0.153337:0.562581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para hallar la constante del resorte, se usará la ley de Hooke::@0.096359:0.615219:0.532403:0.615219:0.532403:0.598830:0.096359:0.598830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=−:@0.127798:0.651028:0.159254:0.651028:0.159254:0.634390:0.127798:0.634390:0.000000:0.000000
=− =−:@0.128165:0.680456:0.200825:0.680456:0.200825:0.663818:0.128165:0.663818:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.201931:0.691216:0.216268:0.691216:0.216268:0.674578:0.201931:0.674578:0.000000
=:@0.266004:0.680456:0.280340:0.680456:0.280340:0.663818:0.266004:0.663818:0.000000
F:@0.117108:0.651164:0.124332:0.651164:0.124332:0.635411:0.117108:0.635411:0.000000
kx:@0.160874:0.651164:0.175671:0.651164:0.175671:0.635411:0.160874:0.635411:0.000000:0.000000
k:@0.117477:0.680595:0.125364:0.680595:0.125364:0.664842:0.117477:0.664842:0.000000
F:@0.160819:0.671895:0.168042:0.671895:0.168042:0.656143:0.160819:0.656143:0.000000
x:@0.161556:0.691341:0.168706:0.691341:0.168706:0.675588:0.161556:0.675588:0.000000
N:@0.249456:0.671895:0.260844:0.671895:0.260844:0.656143:0.249456:0.656143:0.000000
cm:@0.243338:0.691341:0.263977:0.691341:0.263977:0.675588:0.243338:0.675588:0.000000:0.000000
N:@0.316422:0.671895:0.327810:0.671895:0.327810:0.656143:0.316422:0.656143:0.000000
m:@0.312386:0.691341:0.326539:0.691341:0.326539:0.675588:0.312386:0.675588:0.000000
27,44:@0.204953:0.671785:0.242822:0.671785:0.242822:0.656004:0.204953:0.656004:0.000000:0.000000:0.000000:0.000000:0.000000
3,5:@0.216102:0.691230:0.236685:0.691230:0.236685:0.675450:0.216102:0.675450:0.000000:0.000000:0.000000
784:@0.284689:0.680470:0.308922:0.680470:0.308922:0.664690:0.284689:0.664690:0.000000:0.000000:0.000000
Como sabemos, la constante del resorte es la misma para todos los casos al cumplir :@0.096359:0.732555:0.716630:0.732555:0.716630:0.716166:0.096359:0.716166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la ley de proporcionalidad de Hooke, es decir, sin fuerzas que se opongan al movi-:@0.096359:0.748903:0.712502:0.748903:0.712502:0.732514:0.096359:0.732514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
miento. Por lo tanto, para el segundo y tercer caso, la deformación es: :@0.096359:0.765250:0.607241:0.765250:0.607241:0.748861:0.096359:0.748861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.100034:0.825507:0.107509:0.825507:0.107509:0.809038:0.100034:0.809038:0.000000
2:@0.108200:0.827568:0.113642:0.827568:0.113642:0.817651:0.108200:0.817651:0.000000
=:@0.121603:0.825362:0.136592:0.825362:0.136592:0.807968:0.121603:0.807968:0.000000
3,8 :@0.162698:0.808896:0.190228:0.808896:0.190228:0.791762:0.162698:0.791762:0.000000:0.000000:0.000000:0.000000
kg:@0.189612:0.809084:0.205063:0.809084:0.205063:0.792615:0.189612:0.792615:0.000000:0.000000
9,8:@0.215678:0.808896:0.238488:0.808896:0.238488:0.791762:0.215678:0.791762:0.000000:0.000000:0.000000
m:@0.243998:0.800278:0.258794:0.800278:0.258794:0.783810:0.243998:0.783810:0.000000
s:@0.244576:0.820116:0.250953:0.820116:0.250953:0.803647:0.244576:0.803647:0.000000
2:@0.251277:0.811931:0.256718:0.811931:0.256718:0.802014:0.251277:0.802014:0.000000
784:@0.190234:0.836516:0.215664:0.836516:0.215664:0.819382:0.190234:0.819382:0.000000:0.000000:0.000000
N/m:@0.220384:0.836704:0.253058:0.836704:0.253058:0.820236:0.220384:0.820236:0.000000:0.000000:0.000000
=:@0.271798:0.825362:0.286787:0.825362:0.286787:0.807968:0.271798:0.807968:0.000000
0,0475 :@0.293934:0.825319:0.346991:0.825319:0.346991:0.808185:0.293934:0.808185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.346374:0.825507:0.361170:0.825507:0.361170:0.809038:0.346374:0.809038:0.000000
=:@0.367258:0.825362:0.382246:0.825362:0.382246:0.807968:0.367258:0.807968:0.000000
4,75 :@0.404246:0.825319:0.440176:0.825319:0.440176:0.808185:0.404246:0.808185:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.439559:0.825507:0.461156:0.825507:0.461156:0.809038:0.439559:0.809038:0.000000:0.000000
x:@0.100009:0.883617:0.107484:0.883617:0.107484:0.867149:0.100009:0.867149:0.000000
2:@0.108200:0.885679:0.113642:0.885679:0.113642:0.875762:0.108200:0.875762:0.000000
=:@0.121603:0.883473:0.136592:0.883473:0.136592:0.866079:0.121603:0.866079:0.000000
3,8 :@0.162698:0.867006:0.190228:0.867006:0.190228:0.849872:0.162698:0.849872:0.000000:0.000000:0.000000:0.000000
kg:@0.189612:0.867194:0.205063:0.867194:0.205063:0.850725:0.189612:0.850725:0.000000:0.000000
9,8:@0.215678:0.867006:0.238488:0.867006:0.238488:0.849872:0.215678:0.849872:0.000000:0.000000:0.000000
m:@0.243998:0.858388:0.258794:0.858388:0.258794:0.841920:0.243998:0.841920:0.000000
s:@0.244576:0.878226:0.250953:0.878226:0.250953:0.861757:0.244576:0.861757:0.000000
2:@0.251277:0.870041:0.256718:0.870041:0.256718:0.860124:0.251277:0.860124:0.000000
+:@0.264102:0.867049:0.279091:0.867049:0.279091:0.849655:0.264102:0.849655:0.000000
30:@0.283522:0.867006:0.300938:0.867006:0.300938:0.849872:0.283522:0.849872:0.000000:0.000000
N:@0.305658:0.867194:0.317563:0.867194:0.317563:0.850725:0.305658:0.850725:0.000000
784:@0.219330:0.894622:0.244760:0.894622:0.244760:0.877489:0.219330:0.877489:0.000000:0.000000:0.000000
N/m:@0.249480:0.894810:0.282154:0.894810:0.282154:0.878342:0.249480:0.878342:0.000000:0.000000:0.000000
=:@0.329961:0.883473:0.344949:0.883473:0.344949:0.866079:0.329961:0.866079:0.000000
0,0858 :@0.352097:0.883430:0.405577:0.883430:0.405577:0.866296:0.352097:0.866296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.404961:0.883618:0.419756:0.883618:0.419756:0.867149:0.404961:0.867149:0.000000
=:@0.425844:0.883473:0.440833:0.883473:0.440833:0.866079:0.425844:0.866079:0.000000
8,58 :@0.462828:0.883430:0.497929:0.883430:0.497929:0.866296:0.462828:0.866296:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.497312:0.883618:0.518909:0.883618:0.518909:0.867149:0.497312:0.867149:0.000000:0.000000
a:@0.099301:0.941729:0.108278:0.941729:0.108278:0.925260:0.099301:0.925260:0.000000
=:@0.116890:0.941585:0.131878:0.941585:0.131878:0.924190:0.116890:0.924190:0.000000
F:@0.143110:0.932736:0.150662:0.932736:0.150662:0.916267:0.143110:0.916267:0.000000
m:@0.140548:0.952935:0.155343:0.952935:0.155343:0.936466:0.140548:0.936466:0.000000
=:@0.162960:0.941585:0.177948:0.941585:0.177948:0.924190:0.162960:0.924190:0.000000
3,8 :@0.190085:0.925116:0.217615:0.925116:0.217615:0.907982:0.190085:0.907982:0.000000:0.000000:0.000000:0.000000
kg:@0.216999:0.925304:0.232450:0.925304:0.232450:0.908835:0.216999:0.908835:0.000000:0.000000
9,8:@0.243058:0.925117:0.265868:0.925117:0.265868:0.907983:0.243058:0.907983:0.000000:0.000000:0.000000
m:@0.271378:0.916499:0.286174:0.916499:0.286174:0.900031:0.271378:0.900031:0.000000
s:@0.271956:0.936337:0.278333:0.936337:0.278333:0.919868:0.271956:0.919868:0.000000
2:@0.278657:0.928152:0.284098:0.928152:0.284098:0.918235:0.278657:0.918235:0.000000
+:@0.291482:0.925160:0.306471:0.925160:0.306471:0.907766:0.291482:0.907766:0.000000
30:@0.310902:0.925117:0.328318:0.925117:0.328318:0.907983:0.310902:0.907983:0.000000:0.000000
N:@0.333038:0.925305:0.344944:0.925305:0.344944:0.908836:0.333038:0.908836:0.000000
3,8 :@0.246132:0.952734:0.273662:0.952734:0.273662:0.935600:0.246132:0.935600:0.000000:0.000000:0.000000:0.000000
kg:@0.273046:0.952922:0.288496:0.952922:0.288496:0.936453:0.273046:0.936453:0.000000:0.000000
=:@0.355036:0.941585:0.370024:0.941585:0.370024:0.924190:0.355036:0.924190:0.000000
17,69:@0.375977:0.941541:0.414816:0.941541:0.414816:0.924407:0.375977:0.924407:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.420326:0.932736:0.435122:0.932736:0.435122:0.916267:0.420326:0.916267:0.000000
s:@0.420904:0.952935:0.427281:0.952935:0.427281:0.936466:0.420904:0.936466:0.000000
2:@0.427596:0.944734:0.433037:0.944734:0.433037:0.934816:0.427596:0.934816:0.000000
Figura 1.2:@0.107519:0.400570:0.165324:0.400570:0.165324:0.387161:0.107519:0.387161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.177050:0.257219:0.183801:0.257219:0.183801:0.242621:0.177050:0.242621:0.000000
1:@0.183801:0.259932:0.188128:0.259932:0.188128:0.251422:0.183801:0.251422:0.000000
F:@0.325125:0.198000:0.332094:0.198000:0.332094:0.183402:0.325125:0.183402:0.000000
e1:@0.332092:0.200713:0.340296:0.200713:0.340296:0.192203:0.332092:0.192203:0.000000:0.000000
P:@0.326510:0.234137:0.334585:0.234137:0.334585:0.219540:0.326510:0.219540:0.000000
1:@0.334585:0.236851:0.338911:0.236851:0.338911:0.228340:0.334585:0.228340:0.000000
P:@0.511592:0.266867:0.519667:0.266867:0.519667:0.252270:0.511592:0.252270:0.000000
1:@0.519667:0.269582:0.523994:0.269582:0.523994:0.261072:0.519667:0.261072:0.000000
30 N:@0.665833:0.346666:0.694899:0.346666:0.694899:0.332068:0.665833:0.332068:0.000000:0.000000:0.000000:0.000000
F:@0.504742:0.202026:0.511711:0.202026:0.511711:0.187428:0.504742:0.187428:0.000000
e2:@0.511706:0.204740:0.519910:0.204740:0.519910:0.196230:0.511706:0.196230:0.000000:0.000000
F:@0.668416:0.236554:0.675385:0.236554:0.675385:0.221956:0.668416:0.221956:0.000000
e3:@0.675387:0.239267:0.683591:0.239267:0.683591:0.230757:0.675387:0.230757:0.000000:0.000000
x:@0.180985:0.275227:0.187737:0.275227:0.187737:0.260630:0.180985:0.260630:0.000000
2:@0.187735:0.277940:0.192062:0.277940:0.192062:0.269430:0.187735:0.269430:0.000000
3,5 cm:@0.179999:0.244746:0.220841:0.244746:0.220841:0.230149:0.179999:0.230149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Caso 1:@0.278469:0.162682:0.319982:0.162682:0.319982:0.148085:0.278469:0.148085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Caso 2:@0.427783:0.162682:0.469296:0.162682:0.469296:0.148085:0.427783:0.148085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Caso 3:@0.581838:0.162682:0.623351:0.162682:0.623351:0.148085:0.581838:0.148085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2,8  kg:@0.281205:0.262723:0.312606:0.262723:0.312606:0.251045:0.281205:0.251045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1  kg:@0.439616:0.296841:0.462747:0.296841:0.462747:0.285163:0.439616:0.285163:0.000000:0.000000:0.000000:0.000000:0.000000
1  kg:@0.594622:0.318577:0.617754:0.318577:0.617754:0.306900:0.594622:0.306900:0.000000:0.000000:0.000000:0.000000:0.000000
2,8  kg:@0.431668:0.276946:0.463069:0.276946:0.463069:0.265268:0.431668:0.265268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2,8  kg:@0.586688:0.297616:0.618089:0.297616:0.618089:0.285938:0.586688:0.285938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escucha el enunciado del :@0.754711:0.158039:0.927914:0.158039:0.927914:0.143140:0.754711:0.143140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problema planteado en  :@0.754711:0.171869:0.919872:0.171869:0.919872:0.156970:0.754711:0.156970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el video::@0.754711:0.185700:0.810195:0.185700:0.810195:0.170801:0.754711:0.170801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/13fsc02:@0.754711:0.203088:0.857404:0.203088:0.857404:0.187963:0.754711:0.187963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resuelve el problema  :@0.754711:0.220477:0.893570:0.220477:0.893570:0.205603:0.754711:0.205603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y luego compáralo con la :@0.754711:0.234307:0.918196:0.234307:0.918196:0.219433:0.754711:0.219433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solución del video.:@0.754711:0.248137:0.870318:0.248137:0.870318:0.233263:0.754711:0.233263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.806485:0.125598:0.856955:0.125598:0.856955:0.108697:0.806485:0.108697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La gastronomía :@0.754293:0.502772:0.861273:0.502772:0.861273:0.487873:0.754293:0.487873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuatoriana es una de las :@0.754293:0.516602:0.925971:0.516602:0.925971:0.501703:0.754293:0.501703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más variadas en cuanto a :@0.754293:0.530433:0.926169:0.530433:0.926169:0.515534:0.754293:0.515534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
platillos tradicionales; :@0.754293:0.544263:0.900625:0.544263:0.900625:0.529364:0.754293:0.529364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
además, aprovecha la :@0.754293:0.558093:0.901680:0.558093:0.901680:0.543194:0.754293:0.543194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayoría de los recursos :@0.754293:0.571924:0.914075:0.571924:0.914075:0.557025:0.754293:0.557025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
naturales producidos :@0.754293:0.585754:0.898931:0.585754:0.898931:0.570855:0.754293:0.570855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
localmente en cada :@0.754293:0.599584:0.889315:0.599584:0.889315:0.584685:0.754293:0.584685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
región.:@0.754293:0.613415:0.800462:0.613415:0.800462:0.598516:0.754293:0.598516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las balanzas de muelle  :@0.754293:0.752573:0.914797:0.752573:0.914797:0.737674:0.754293:0.737674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o balanzas de resorte :@0.754293:0.766403:0.899333:0.766403:0.899333:0.751504:0.754293:0.751504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguen siendo muy :@0.754293:0.780233:0.885028:0.780233:0.885028:0.765334:0.754293:0.765334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utilizadas en la :@0.754293:0.794064:0.855511:0.794064:0.855511:0.779165:0.754293:0.779165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gastronomía. :@0.754293:0.807894:0.845409:0.807894:0.845409:0.792995:0.754293:0.792995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga y responde: :@0.754293:0.825282:0.877522:0.825282:0.877522:0.810408:0.754293:0.810408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿qué relación existe entre  :@0.754293:0.839113:0.917742:0.839113:0.917742:0.824239:0.754293:0.824239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la fuerza aplicada sobre  :@0.754293:0.852943:0.911075:0.852943:0.911075:0.838069:0.754293:0.838069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un resorte y el peso del :@0.754293:0.866773:0.898613:0.866773:0.898613:0.851899:0.754293:0.851899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuerpo suspendido?:@0.754293:0.880604:0.880237:0.880604:0.880237:0.865730:0.754293:0.865730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cívica:@0.818374:0.470330:0.863225:0.470330:0.863225:0.453429:0.818374:0.453429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.923110:0.725317:0.923110:0.682491:0.911199:0.682491:0.911199:0.725317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.721369:0.373782:0.721369:0.330956:0.709458:0.330956:0.709458:0.373782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000