88:@0.058599:0.966559:0.074760:0.966559:0.074760:0.950779:0.058599:0.950779:0.000000:0.000000
Ejemplo 1:@0.404318:0.084003:0.477253:0.084003:0.477253:0.067794:0.404318:0.067794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular el trabajo realizado por una persona que tira de una caja una :@0.404318:0.101071:0.895910:0.101071:0.895910:0.084574:0.404318:0.084574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distancia por medio de un cable. La tensión en el cable es de 50 N y :@0.404318:0.118422:0.896089:0.118422:0.896089:0.101924:0.404318:0.101924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su inclinación es de 60º respecto al eje horizontal.:@0.404318:0.135773:0.754462:0.135773:0.754462:0.119275:0.404318:0.119275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.513373:0.224173:0.521615:0.224173:0.521615:0.209576:0.513373:0.209576:0.000000
y:@0.496487:0.561804:0.503456:0.561804:0.503456:0.547206:0.496487:0.547206:0.000000
x:@0.607940:0.644220:0.614692:0.644220:0.614692:0.629622:0.607940:0.629622:0.000000
N:@0.465294:0.601119:0.475764:0.601119:0.475764:0.586522:0.465294:0.586522:0.000000
F:@0.544851:0.612033:0.551820:0.612033:0.551820:0.597435:0.544851:0.597435:0.000000
W:@0.522302:0.691544:0.536542:0.691544:0.536542:0.676947:0.522302:0.676947:0.000000
30º:@0.532047:0.629775:0.552284:0.629775:0.552284:0.615177:0.532047:0.615177:0.000000:0.000000:0.000000
30º:@0.578178:0.465175:0.598415:0.465175:0.598415:0.450578:0.578178:0.450578:0.000000:0.000000:0.000000
d:@0.672350:0.424130:0.680592:0.424130:0.680592:0.409533:0.672350:0.409533:0.000000
y:@0.749294:0.562558:0.756263:0.562558:0.756263:0.547961:0.749294:0.547961:0.000000
x:@0.856643:0.641919:0.863394:0.641919:0.863394:0.627322:0.856643:0.627322:0.000000
N:@0.742643:0.585428:0.753113:0.585428:0.753113:0.570831:0.742643:0.570831:0.000000
F:@0.806319:0.623147:0.813288:0.623147:0.813288:0.608550:0.806319:0.608550:0.000000
P:@0.702906:0.700710:0.710981:0.700710:0.710981:0.686113:0.702906:0.686113:0.000000
P:@0.710395:0.624329:0.718469:0.624329:0.718469:0.609732:0.710395:0.609732:0.000000
x:@0.718469:0.627044:0.722405:0.627044:0.722405:0.618534:0.718469:0.618534:0.000000
P:@0.770552:0.689317:0.778627:0.689317:0.778627:0.674719:0.770552:0.674719:0.000000
y:@0.778627:0.692030:0.782690:0.692030:0.782690:0.683520:0.778627:0.683520:0.000000
30º:@0.742661:0.662969:0.762898:0.662969:0.762898:0.648371:0.742661:0.648371:0.000000:0.000000:0.000000
Ejemplo 2 :@0.404318:0.304125:0.481104:0.304125:0.481104:0.287916:0.404318:0.287916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular el trabajo realizado por una persona que empuja una caja :@0.404318:0.321193:0.895968:0.321193:0.895968:0.304696:0.404318:0.304696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por una rampa que tiene una inclinación de 30º. La caja tiene un peso :@0.404318:0.338544:0.896073:0.338544:0.896073:0.322046:0.404318:0.322046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de 50 N y la distancia que recorre es de 3m.:@0.404318:0.355895:0.710769:0.355895:0.710769:0.339397:0.404318:0.339397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404318:0.373246:0.408460:0.373246:0.408460:0.356748:0.404318:0.356748:0.000000
Dibujamos el diagrama de cuerpo libre de la caja para facilitar el :@0.404318:0.517286:0.895927:0.517286:0.895927:0.500788:0.404318:0.500788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cálculo. Hacemos coincidir el desplazamiento con el eje de las  .:@0.404318:0.534636:0.856237:0.534636:0.856237:0.518139:0.404318:0.518139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.846007:0.534752:0.853482:0.534752:0.853482:0.518283:0.846007:0.518283:0.000000
Calculamos la fuerza que ejerce la persona  sobre la caja::@0.404318:0.754340:0.814132:0.754336:0.814132:0.737838:0.404318:0.737843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F  :@0.707937:0.754456:0.724722:0.754452:0.724722:0.737983:0.707937:0.737987:0.000000:0.000000:0.000000
p:@0.715177:0.757681:0.720580:0.757681:0.720580:0.748080:0.715177:0.748080:0.000000
∑:@0.404322:0.772222:0.417172:0.772222:0.417172:0.753815:0.404322:0.753815:0.000000
 F:@0.417172:0.771802:0.428866:0.771802:0.428866:0.755334:0.417172:0.755334:0.000000:0.000000
p :@0.428554:0.775032:0.436371:0.775032:0.436371:0.765431:0.428554:0.765431:0.000000:0.000000
= :@0.436371:0.771687:0.451320:0.771687:0.451320:0.755189:0.436371:0.755189:0.000000:0.000000
0  ó    F:@0.451320:0.771802:0.509097:0.771802:0.509097:0.755334:0.451320:0.755334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∑:@0.484553:0.772222:0.497403:0.772222:0.497403:0.753815:0.484553:0.753815:0.000000
x :@0.509096:0.775032:0.515869:0.775032:0.515869:0.765431:0.509096:0.765431:0.000000:0.000000
= :@0.515869:0.771687:0.530819:0.771687:0.530819:0.755189:0.515869:0.755189:0.000000:0.000000
0:@0.530819:0.771802:0.538891:0.771802:0.538891:0.755334:0.530819:0.755334:0.000000
P   sin(30) – F  = 0:@0.404323:0.789153:0.532305:0.789153:0.532305:0.772684:0.404323:0.772684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.417250:0.789572:0.423666:0.789572:0.423666:0.771166:0.417250:0.771166:0.000000
p:@0.499661:0.792383:0.505064:0.792383:0.505064:0.782782:0.499661:0.782782:0.000000
F  = 25  sin(30):@0.404326:0.806504:0.513944:0.806504:0.513944:0.790035:0.404326:0.790035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.411562:0.809734:0.416964:0.809734:0.416964:0.800132:0.411562:0.800132:0.000000
⋅ :@0.456420:0.806923:0.467652:0.806923:0.467652:0.788517:0.456420:0.788517:0.000000:0.000000
F  = 12,5 [N]:@0.404327:0.823855:0.490115:0.823855:0.490115:0.807386:0.404327:0.807386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.411562:0.827084:0.416964:0.827084:0.416964:0.817483:0.411562:0.817483:0.000000
Finalmente, calculamos el trabajo realizado por la persona::@0.404327:0.858440:0.817158:0.858440:0.817158:0.841943:0.404327:0.841943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T F:@0.404327:0.875907:0.432492:0.875907:0.432492:0.859438:0.404327:0.859438:0.000000:0.000000:0.000000
=:@0.414133:0.875791:0.424940:0.875791:0.424940:0.859294:0.414133:0.859294:0.000000
∙ :@0.432484:0.879381:0.444648:0.879381:0.444648:0.868650:0.432484:0.868650:0.000000:0.000000
⋅:@0.444648:0.876326:0.451063:0.876326:0.451063:0.857920:0.444648:0.857920:0.000000
 :@0.451063:0.875791:0.455205:0.875791:0.455205:0.859294:0.451063:0.859294:0.000000
d:@0.455205:0.875907:0.464376:0.875907:0.464376:0.859438:0.455205:0.859438:0.000000
T  = F d:@0.404326:0.893258:0.471768:0.893258:0.471768:0.876789:0.404326:0.876789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.412410:0.896487:0.417812:0.896487:0.417812:0.886886:0.412410:0.886886:0.000000
p :@0.444224:0.896487:0.452041:0.896487:0.452041:0.886886:0.444224:0.886886:0.000000:0.000000
⋅:@0.452041:0.893677:0.458456:0.893677:0.458456:0.875271:0.452041:0.875271:0.000000
 :@0.458456:0.893142:0.462598:0.893142:0.462598:0.876644:0.458456:0.876644:0.000000
T  = 12,5 [N]  3 [m]:@0.404321:0.910608:0.543537:0.910608:0.543537:0.894140:0.404321:0.894140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.412410:0.913838:0.417812:0.913838:0.417812:0.904237:0.412410:0.904237:0.000000
⋅:@0.495105:0.911028:0.501520:0.911028:0.501520:0.892621:0.495105:0.892621:0.000000
 :@0.501520:0.910493:0.505662:0.910493:0.505662:0.893995:0.501520:0.893995:0.000000
T  = 37,5 [Nm] = 37,5 [J]:@0.404327:0.927959:0.572703:0.927960:0.572703:0.911491:0.404327:0.911490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.412410:0.931189:0.417812:0.931189:0.417812:0.921587:0.412410:0.921587:0.000000
 :@0.520804:0.927844:0.524946:0.927844:0.524946:0.911346:0.520804:0.911346:0.000000
cos:@0.721565:0.170061:0.741002:0.170061:0.741002:0.155239:0.721565:0.155239:0.000000:0.000000:0.000000
60:@0.747694:0.169905:0.762432:0.169905:0.762432:0.155109:0.747694:0.155109:0.000000:0.000000
° =:@0.762120:0.169931:0.791500:0.169931:0.791500:0.154276:0.762120:0.154276:0.000000:0.000000:0.000000
(:@0.740599:0.171229:0.747344:0.171229:0.747344:0.152600:0.740599:0.152600:0.000000
):@0.768497:0.171229:0.775242:0.171229:0.775242:0.152600:0.768497:0.152600:0.000000
F:@0.796858:0.160367:0.803655:0.160367:0.803655:0.145545:0.796858:0.145545:0.000000
paralela:@0.802746:0.162326:0.831869:0.162326:0.831869:0.153747:0.802746:0.153747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.811179:0.180140:0.817975:0.180140:0.817975:0.165318:0.811179:0.165318:0.000000
F:@0.721188:0.197927:0.727985:0.197927:0.727985:0.183105:0.721188:0.183105:0.000000
paralela:@0.727077:0.199880:0.756200:0.199880:0.756200:0.191301:0.727077:0.191301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.761520:0.197797:0.775009:0.197797:0.775009:0.182142:0.761520:0.182142:0.000000
F cos:@0.778997:0.197927:0.808802:0.197927:0.808802:0.183105:0.778997:0.183105:0.000000:0.000000:0.000000:0.000000:0.000000
60:@0.815495:0.197771:0.830233:0.197771:0.830233:0.182975:0.815495:0.182975:0.000000:0.000000
°:@0.829921:0.197797:0.836839:0.197797:0.836839:0.182142:0.829921:0.182142:0.000000
(:@0.808399:0.199094:0.815144:0.199094:0.815144:0.180465:0.808399:0.180465:0.000000
):@0.836297:0.199094:0.843042:0.199094:0.843042:0.180465:0.836297:0.180465:0.000000
T:@0.720811:0.219851:0.729637:0.219851:0.729637:0.205029:0.720811:0.205029:0.000000
p:@0.729244:0.221804:0.734072:0.221804:0.734072:0.213225:0.729244:0.213225:0.000000
=:@0.739468:0.219720:0.752958:0.219720:0.752958:0.204066:0.739468:0.204066:0.000000
F:@0.756946:0.219851:0.763743:0.219851:0.763743:0.205029:0.756946:0.205029:0.000000
paralela:@0.762838:0.221804:0.791962:0.221804:0.791962:0.213225:0.762838:0.213225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.794217:0.219720:0.799037:0.219720:0.799037:0.204066:0.794217:0.204066:0.000000
d:@0.799592:0.219851:0.807845:0.219851:0.807845:0.205029:0.799592:0.205029:0.000000
T:@0.720822:0.242727:0.729647:0.242727:0.729647:0.227906:0.720822:0.227906:0.000000
p:@0.729244:0.244683:0.734072:0.244683:0.734072:0.236104:0.729244:0.236104:0.000000
=:@0.739468:0.242599:0.752958:0.242599:0.752958:0.226945:0.739468:0.226945:0.000000
F cos:@0.756946:0.242730:0.786751:0.242730:0.786751:0.227908:0.756946:0.227908:0.000000:0.000000:0.000000:0.000000:0.000000
60:@0.793444:0.242573:0.808182:0.242573:0.808182:0.227778:0.793444:0.227778:0.000000:0.000000
°:@0.807870:0.242599:0.814788:0.242599:0.814788:0.226945:0.807870:0.226945:0.000000
(:@0.786350:0.243898:0.793095:0.243898:0.793095:0.225268:0.786350:0.225268:0.000000
):@0.814248:0.243898:0.820993:0.243898:0.820993:0.225268:0.814248:0.225268:0.000000
⋅:@0.820697:0.242599:0.825518:0.242599:0.825518:0.226945:0.820697:0.226945:0.000000
d:@0.826072:0.242730:0.834326:0.242730:0.834326:0.227908:0.826072:0.227908:0.000000
T:@0.720809:0.265606:0.729634:0.265606:0.729634:0.250785:0.720809:0.250785:0.000000
p:@0.729244:0.267562:0.734072:0.267562:0.734072:0.258983:0.729244:0.258983:0.000000
=:@0.739468:0.265479:0.752958:0.265479:0.752958:0.249824:0.739468:0.249824:0.000000
(50  ):@0.756946:0.265453:0.797276:0.265453:0.797276:0.250657:0.756946:0.250657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N cos:@0.780977:0.265609:0.819018:0.265609:0.819018:0.250787:0.780977:0.250787:0.000000:0.000000:0.000000:0.000000:0.000000
60 (5 m):@0.825711:0.265453:0.888704:0.265453:0.888704:0.250657:0.825711:0.250657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
°:@0.840137:0.265479:0.847055:0.265479:0.847055:0.249824:0.840137:0.249824:0.000000
(:@0.818623:0.266777:0.825368:0.266777:0.825368:0.248148:0.818623:0.248148:0.000000
):@0.846521:0.266777:0.853266:0.266777:0.853266:0.248148:0.846521:0.248148:0.000000
T:@0.720831:0.287536:0.729656:0.287536:0.729656:0.272714:0.720831:0.272714:0.000000
p:@0.729244:0.289487:0.734072:0.289487:0.734072:0.280908:0.729244:0.280908:0.000000
=:@0.739468:0.287403:0.752958:0.287403:0.752958:0.271749:0.739468:0.271749:0.000000
125 :@0.756235:0.287377:0.782295:0.287377:0.782295:0.272581:0.756235:0.272581:0.000000:0.000000:0.000000:0.000000
Nm:@0.782104:0.287533:0.805876:0.287533:0.805876:0.272712:0.782104:0.272712:0.000000:0.000000
=:@0.809292:0.287403:0.822781:0.287403:0.822781:0.271749:0.809292:0.271749:0.000000
125 :@0.826058:0.287377:0.852118:0.287377:0.852118:0.272581:0.826058:0.272581:0.000000:0.000000:0.000000:0.000000
J:@0.851927:0.287533:0.855569:0.287533:0.855569:0.272712:0.851927:0.272712:0.000000
Archivo editorial:@0.402048:0.232728:0.402048:0.186424:0.390580:0.186424:0.390580:0.232728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo editorial:@0.907002:0.707075:0.907002:0.660770:0.895534:0.660770:0.895534:0.707075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo editorial:@0.907002:0.473805:0.907002:0.427500:0.895534:0.427500:0.895534:0.473805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo editorial:@0.402129:0.707075:0.402129:0.660770:0.390660:0.660770:0.390660:0.707075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.414103:0.248484:0.416985:0.248484:0.416985:0.237008:0.414103:0.237008:0.000000
Figura 3.3.:@0.416985:0.248484:0.465553:0.248484:0.465553:0.237008:0.416985:0.237008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.414103:0.485995:0.416985:0.485995:0.416985:0.474518:0.414103:0.474518:0.000000
Figura 3.4.:@0.416985:0.485995:0.465553:0.485995:0.465553:0.474518:0.416985:0.474518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.414103:0.722171:0.416985:0.722171:0.416985:0.710694:0.414103:0.710694:0.000000
Figura 3.5.:@0.416985:0.722171:0.465553:0.722171:0.465553:0.710694:0.416985:0.710694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.674169:0.722171:0.677051:0.722171:0.677051:0.710694:0.674169:0.710694:0.000000
Figura 3.6.:@0.677051:0.722171:0.725619:0.722171:0.725619:0.710694:0.677051:0.710694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las funciones trigonomé-:@0.196083:0.119022:0.361499:0.119022:0.361499:0.103959:0.196083:0.103959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tricas, seno, coseno, tangente :@0.153339:0.134864:0.345504:0.134864:0.345504:0.119801:0.153339:0.119801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del ángulo, que se obtienen :@0.153339:0.150706:0.335042:0.150706:0.335042:0.135643:0.153339:0.135643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a partir del triángulo rectán-:@0.153339:0.166548:0.335870:0.166548:0.335870:0.151485:0.153339:0.151485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gulo son muy empleadas en :@0.153339:0.182390:0.339246:0.182390:0.339246:0.167327:0.153339:0.167327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la solución de problemas que :@0.153339:0.198232:0.347723:0.198232:0.347723:0.183169:0.153339:0.183169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
implican el cálculo del trabajo :@0.153339:0.214074:0.350924:0.214074:0.350924:0.199011:0.153339:0.199011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que realiza una persona sobre :@0.153339:0.229916:0.349396:0.229916:0.349396:0.214853:0.153339:0.214853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un cuerpo.:@0.153339:0.245758:0.223082:0.245758:0.223082:0.230695:0.153339:0.230695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.195568:0.083927:0.297840:0.083927:0.297840:0.067718:0.195568:0.067718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.195568:0.096499:0.283634:0.096499:0.283634:0.080290:0.195568:0.080290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 35778439:@0.139964:0.368489:0.139964:0.303642:0.128495:0.303642:0.128495:0.368489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.196294:0.568237:0.293917:0.568237:0.293917:0.552764:0.196294:0.552764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
socioemocional:@0.196294:0.580805:0.306669:0.580805:0.306669:0.565332:0.196294:0.565332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La honestidad académica :@0.199880:0.605278:0.365117:0.605278:0.365117:0.590215:0.199880:0.590215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asegura que todos los procesos :@0.153337:0.621120:0.354595:0.621120:0.354595:0.606057:0.153337:0.606057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sean transparentes. Cuando des :@0.153337:0.636962:0.356848:0.636962:0.356848:0.621899:0.153337:0.621899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una prueba de física, no copies a :@0.153337:0.652804:0.361633:0.652804:0.361633:0.637741:0.153337:0.637741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nadie; cuando hagas una consul-:@0.153337:0.668646:0.359191:0.668646:0.359191:0.653583:0.153337:0.653583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ta, cita la fuente. Actúa de forma :@0.153337:0.684488:0.363005:0.684488:0.363005:0.669425:0.153337:0.669425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
honesta y responsable.:@0.153337:0.700330:0.296552:0.700330:0.296552:0.685267:0.153337:0.685267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿La corrupción solo existe a nivel :@0.153344:0.841771:0.363207:0.841771:0.363207:0.826708:0.153344:0.826708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del Estado, o también hay en la :@0.153344:0.857613:0.353566:0.857613:0.353566:0.842550:0.153344:0.842550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vida personal de los ciudadanos?:@0.153344:0.873455:0.359599:0.873455:0.359599:0.858392:0.153344:0.858392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 1967011792:@0.139964:0.824236:0.139964:0.752736:0.128495:0.752736:0.128495:0.824236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000