27:@0.922865:0.966558:0.939026:0.966558:0.939026:0.950778:0.922865:0.950778:0.000000:0.000000
Si se aplican a un bloque las fuerzas dadas en el gráfico, ¿el bloque lograría levantarse del piso en el :@0.143847:0.151790:0.843207:0.151790:0.843207:0.135292:0.143847:0.135292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
caso de que no existiera gravedad? :@0.143847:0.169140:0.393039:0.169140:0.393039:0.152643:0.143847:0.152643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Explica:@0.393039:0.169603:0.447731:0.169603:0.447731:0.152657:0.393039:0.152657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 tu respuesta.:@0.447731:0.169140:0.542033:0.169140:0.542033:0.152643:0.447731:0.152643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.106794:0.147319:0.118216:0.147319:0.118216:0.126689:0.106794:0.126689:0.000000
Sean los puntos P = (0, 2) y Q = (−3, 5). :@0.143847:0.458650:0.426505:0.458650:0.426505:0.442153:0.143847:0.442153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encuentra:@0.426505:0.459113:0.505261:0.459113:0.505261:0.442167:0.426505:0.442167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el vector que va de P a Q y el vector que va de :@0.505263:0.458650:0.842151:0.458650:0.842151:0.442153:0.505263:0.442153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q a P.:@0.143847:0.476001:0.183264:0.476001:0.183264:0.459503:0.143847:0.459503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.106794:0.454180:0.118216:0.454180:0.118216:0.433550:0.106794:0.433550:0.000000
68º:@0.483460:0.344416:0.505902:0.344416:0.505902:0.328229:0.483460:0.328229:0.000000:0.000000:0.000000
41º:@0.393301:0.354581:0.415743:0.354581:0.415743:0.338393:0.393301:0.338393:0.000000:0.000000:0.000000
30 N:@0.556100:0.375496:0.588332:0.375496:0.588332:0.359308:0.556100:0.359308:0.000000:0.000000:0.000000:0.000000
50 N:@0.335097:0.413044:0.367330:0.413044:0.367330:0.396856:0.335097:0.396856:0.000000:0.000000:0.000000:0.000000
80 N:@0.430699:0.198864:0.462932:0.198864:0.462932:0.182676:0.430699:0.182676:0.000000:0.000000:0.000000:0.000000
Es importante que haya tiem-:@0.638503:0.788502:0.837302:0.788502:0.837302:0.773386:0.638503:0.773386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
po suficiente para que realicen :@0.638503:0.804344:0.846132:0.804344:0.846132:0.789228:0.638503:0.789228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su trabajo y sus desplazamien-:@0.638503:0.820186:0.841031:0.820186:0.841031:0.805070:0.638503:0.805070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tos aquellas personas que :@0.638503:0.836028:0.812870:0.836028:0.812870:0.820912:0.638503:0.820912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puedan tener dificultades en :@0.638503:0.851870:0.834206:0.851870:0.834206:0.836754:0.638503:0.836754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su motricidad.:@0.638503:0.867712:0.733875:0.867712:0.733875:0.852596:0.638503:0.852596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Diversidad :@0.679106:0.743121:0.769569:0.743121:0.769569:0.725439:0.679106:0.725439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funcional en el aula:@0.679106:0.759461:0.834719:0.759461:0.834719:0.741779:0.679106:0.741779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trabajo colaborativo:@0.144299:0.757145:0.314625:0.757145:0.314625:0.739342:0.144299:0.739342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En equipos, :@0.144299:0.773732:0.230124:0.773732:0.230124:0.757235:0.144299:0.757235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resuelvan:@0.230124:0.774195:0.303523:0.774195:0.303523:0.757249:0.230124:0.757249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el siguiente problema.:@0.303527:0.773732:0.462675:0.773732:0.462675:0.757235:0.303527:0.757235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un día de carnaval, dos niñas luchan por un cubo lleno de agua. :@0.144299:0.798211:0.590671:0.798211:0.590671:0.781714:0.144299:0.781714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La primera niña tira el cubo con una fuerza de 42,7 N en dirección :@0.144299:0.815562:0.590731:0.815562:0.590731:0.799064:0.144299:0.799064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N 36° E, y la otra niña lo tira con una fuerza de 30 N en dirección :@0.144299:0.832913:0.590814:0.832913:0.590814:0.816415:0.144299:0.816415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N:@0.144299:0.850379:0.156205:0.850379:0.156205:0.833911:0.144299:0.833911:0.000000
 75°  .:@0.156205:0.850264:0.201402:0.850264:0.201402:0.833766:0.156205:0.833766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
O:@0.186741:0.850379:0.198647:0.850379:0.198647:0.833911:0.186741:0.833911:0.000000
11:@0.102005:0.749993:0.123911:0.749993:0.123911:0.729363:0.102005:0.729363:0.000000:0.000000
a):@0.144321:0.881205:0.158866:0.881205:0.158866:0.864490:0.144321:0.864490:0.000000:0.000000
 ¿Qué niña ejerce la mayor fuerza?:@0.158867:0.880988:0.399680:0.880988:0.399680:0.864490:0.158867:0.864490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.144321:0.905684:0.160330:0.905684:0.160330:0.888969:0.144321:0.888969:0.000000:0.000000
 :@0.160331:0.905467:0.164473:0.905467:0.164473:0.888970:0.160331:0.888970:0.000000
Calculen:@0.163317:0.905930:0.230360:0.905930:0.230360:0.888984:0.163317:0.888984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el vector resultante (fuerza y dirección) sin considerar el peso de la cubeta.:@0.230360:0.905467:0.762611:0.905467:0.762611:0.888970:0.230360:0.888970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.144321:0.930163:0.158654:0.930163:0.158654:0.913449:0.144321:0.913449:0.000000:0.000000
 :@0.158654:0.929946:0.162796:0.929946:0.162796:0.913448:0.158654:0.913448:0.000000
Grafiquen:@0.163317:0.930409:0.240859:0.930409:0.240859:0.913463:0.163317:0.913463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el diagrama de fuerzas en su cuaderno.:@0.240859:0.929946:0.518855:0.929946:0.518855:0.913448:0.240859:0.913448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dados los vectores   = (2, −3)  y    = (4, 8). :@0.143847:0.537729:0.453840:0.537729:0.453840:0.521232:0.143847:0.521232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.281513:0.537845:0.292783:0.537845:0.292783:0.521376:0.281513:0.521376:0.000000
B:@0.382867:0.537845:0.392057:0.537845:0.392057:0.521376:0.382867:0.521376:0.000000
Encuentra:@0.453840:0.538192:0.532597:0.538192:0.532597:0.521246:0.453840:0.521246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.532601:0.537729:0.535356:0.537729:0.535356:0.521232:0.532601:0.521232:0.000000
9:@0.106794:0.533259:0.118216:0.533259:0.118216:0.512629:0.106794:0.512629:0.000000
Sea A = (5, 2) y B = (–3, 5), :@0.143847:0.672096:0.336422:0.672096:0.336422:0.655598:0.143847:0.655598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calcula:@0.336422:0.672559:0.390267:0.672559:0.390267:0.655613:0.336422:0.655613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el vector A – B.:@0.390269:0.672096:0.502468:0.672096:0.502468:0.655598:0.390269:0.655598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.101083:0.667626:0.123927:0.667626:0.123927:0.646996:0.101083:0.646996:0.000000:0.000000
a):@0.144797:0.569669:0.159342:0.569669:0.159342:0.552955:0.144797:0.552955:0.000000:0.000000
   + :@0.159341:0.569452:0.194154:0.569452:0.194154:0.552955:0.159341:0.552955:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.163792:0.569568:0.203344:0.569568:0.203344:0.553099:0.163792:0.553099:0.000000:0.000000:0.000000
b):@0.144797:0.594148:0.160806:0.594148:0.160806:0.577434:0.144797:0.577434:0.000000:0.000000
   – :@0.160805:0.593931:0.193846:0.593931:0.193846:0.577433:0.160805:0.577433:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.163792:0.594046:0.203036:0.594046:0.203036:0.577578:0.163792:0.577578:0.000000:0.000000:0.000000
c):@0.144797:0.618627:0.159130:0.618627:0.159130:0.601912:0.144797:0.601912:0.000000:0.000000
 B + A:@0.159130:0.618410:0.203922:0.618410:0.203922:0.601913:0.159130:0.601913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El bloque logra levantarse del piso ya que 80 N :@0.648002:0.394704:0.851562:0.394704:0.851562:0.384662:0.648002:0.384662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es mayor que 48,96 N.:@0.648002:0.404764:0.742823:0.404764:0.742823:0.394722:0.648002:0.394722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A + B = (6, 5) :@0.236560:0.566352:0.296917:0.566352:0.296917:0.556310:0.236560:0.556310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A − B = (−2, −11):@0.236560:0.591497:0.312725:0.591497:0.312725:0.581455:0.236560:0.581455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B + A = (6, 5):@0.236560:0.616642:0.294396:0.616642:0.294396:0.606600:0.236560:0.606600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A – B = (8, –3) :@0.143849:0.689049:0.210409:0.689049:0.210409:0.679007:0.143849:0.679007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fr = 42,47 N:@0.774005:0.903998:0.826482:0.903998:0.826482:0.893956:0.774005:0.893956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
PQ = (–3, 3)          QP = (3, –3):@0.144799:0.491957:0.276067:0.491957:0.276067:0.481915:0.144799:0.481915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
���⃗:@0.145901:0.496262:0.158026:0.496262:0.158026:0.484171:0.145901:0.484171:0.000000:0.000000:0.000000:0.000000
���⃗:@0.224059:0.496262:0.236267:0.496262:0.236267:0.484171:0.224059:0.484171:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000