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<h2 class="h-slideshow-title">Capitulo 3 enegia y conservacion de masas -
Presentation Transcript</h2>
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<ol class="transcripts h-transcripts"><li>Capitulo 3 EnergÃa y Conservación de
Masas<br />Prof. Franklin Rivera<br />1<br /></li><li>Ley de Conservación<br
/>Estaley dice quelasmasa total en un sistemaaisladopermanececonstante<br
/>Cuandodecimosaislado, quieredecirque nada entra o sale del sistema<br />Un
ejemplo de estoserÃaunabotellasellada con 16 oz de agua.
Estacontendráesamismacantidad. Si transferimos el agua de un botella a
otradebehaberexactamente 16 oz de agua, nimasnimenos<br />Prof. Franklin
Rivera<br />2<br /></li><li>Momentum Linear<br />Definimos el momentum linear como
el producto de la masa de un cuerpo y velocidad<br />Su fórmula de momentum (P) =
(masa) (velocidad)<br />P = m v<br />Decimosquees un vector porquetienevelocidad,
oseaquetienemagnitud y dirección<br />Incorpora la masa con el movimiento<br />Si
un objetoestá en repososuvelocidades cero y su momentum es cero<br
/>Mientrasmasrápidoes la velocidad mayor será el momentum<br />Momentum
tambienesconocidocomoimpulso<br />Prof. Franklin Rivera<br />3<br
/></li><li>Momentum Linear<br />Cálculos de momentum para un objeto en reposo con
masa de 2 Kg y velocidad de cero. <br />Momentum = (2kg x 0 m/s) = 0<br />Un
ciclista con subicicletapesa 80Kg y llevaunavelocidad de 10 m/s, <br />Su momentum
serÃa<br />P = (80Kg x 10m/s ) = 800Kg âl™m/s <br />Prof. Franklin Rivera<br />4<br
/></li><li>Momentum y la Segunda ley de Newton<br />Veremosuna forma alterna de
comoes la segundaley de Newton en términos de momentum donde :<br
/>Decimosqueunafuerzanetaexternaqueactúasobre un objetoigualasurapidez y momentum
linear<br />Fuerza = Cambio en momentum <br />Cambio en tiempo<br />F = Δmv<br
/>Δt<br />Esto se cumplesi y solo si la masaesconstante.<br />Prof. Franklin
Rivera<br />5<br /></li><li>Momentum<br />El momentum es un vector debido a
quetienemagnitud y dirección. El vector de un auto es mayor que el
unabicicletaportener mayor masa, aunque la velocidad sea la misma<br />Prof.
Franklin Rivera<br />6<br /></li><li>Momentum y la Segunda ley de Newton<br />Si la
masaesconstanteentoncespodemosdecirque<br />F = m (Δ v / Δt ) = m a <br />debido
a que    a= Δ v / Δt <br />Dondemes la masa y a la aceleración<br />Si la masa
cambia entonces<br />Usamos la siguiente<br />F = Δmvsidespejamos … Δ (mv) =
FΔt<br />Δt<br />Prof. Franklin Rivera<br />7<br /></li><li>Ley de conservación
de momentum linear<br />Dice que el momentum linear total de un
sistemaaisladopemanececonstante<br />Donde un sistemaaisladoserÃ-
aunodondefuerzasexterna no causaránningunefectosobre el momentum de un
objetodentro de esesistema.<br />El momentum de un objetocambiarÃ-
asiotroobjetoactuasobre el en esesistema<br />Prof. Franklin Rivera<br />8<br
/></li><li>Conservación del momentum linear<br />Cuandouna bola de billaresta en
movimiento, la bola lleva un momentum en el sistemaqueserÃa la mesa de billar. Si
la bola coliciona con otra bola queesta en descansosu momentum sera cambiado.<br
/>El momentum de la segunda bola aumenta y el de la primeradisminuye.<br />Pero la
suma de ambos momentum seráigual al momentum inicial<br />mvántez = total
mvdespues<br />Prof. Franklin Rivera<br />9<br /></li><li>Cónservacin de Momentum
Linear<br />Prof. Franklin Rivera<br />10<br /></li><li>Conservación del momentum
linear<br />Si la ecuaciónesmvantez = mvdespuezentonceslasdefinimoscomom1v1=
m2v2<br />Si despejamoslas variables tendremos<br /> v1   =    m2<br />    v2
m1<br />En el caso de quelos objetosvayan en direccionesopuestasentonces el signo
de la fueza de -m2v2sera negativa.<br />Prof. Franklin Rivera<br />11<br
/></li><li>Trabajo<br />Es la fuerzaactuandosobreunadistancia en direccion a la
fuerza<br />Trabajo = Fuerza x distancia<br />W = F d <br />Donde W estrabajo, F es
la fuerza y d es la distancia<br />Las unidades de trabajo se dan en:<br />
Joules (J), calorias (cal), ergios (erg), Kilowatt-hora (kW-hr), BTU, pies-libras
(ft-lb)<br />Prof. Franklin Rivera<br />12<br /></li><li>Trabajo<br />Prof.
Franklin Rivera<br />13<br /></li><li>Trabajo<br />Si deseamosdeslizarunacajasobre
el suelo y debido a su peso y friccióntuvieramosqueejercerunafuerza de 100 N
paradeslizarla 3 m. Entoncessiguiendo la fórmula, el trabajoejercidoresulta
en…<br />W = Fddonde    W = 100N x 3m = 300N-m<br />N-m se define como Joules (J)
oseaque 300J fue el trabajorequerido<br />Prof. Franklin Rivera<br />14<br
/></li><li>Trabajo<br />Si tuvieramosquelevantarunacaja de 30kg a unaaltura de 1.2
metros. ¿CuantoserÃa el trabajo?<br />si la fuerzaes el peso de la cajaentonces
F=mgdporque F= ma = mg <br />w = 30kg x 9.8m/s2 x 1.2m <br />w = 353 joules<br />El
trabajo de levantar la caja se<br />calcula con la aceleración<br />gravitacional
de 9.8 m/s2<br />Prof. Franklin Rivera<br />15<br /></li><li>Trabajo en Caida
Libre<br />Cuando un objetobaja en caidalibre, la fuerza de gravedades la queactúa
en el objeto.<br />En particular cuando un objetocae a unadistancia d, el
trabajohecho se debepor la fuerza de gravedad<br />W = Fdsi F = W = mg
entonces<br />W = mgd<br />Prof. Franklin Rivera<br />16<br /></li><li>Energy
(E)<br />El Trabajoestacompletado en algocuandoesteganaenergÃa<br />La energÃapuede
ser usadaparahacer un trabajo. <br />Cuandolanzamosuna bola se le proveeenergÃa en
el lanzamiento y esta se mueve<br />EnergÃaes la medida de capacidad de un
sistemaparalograr un trabajo y esteestransferidocuando se logra el trabajo<br
/>Prof. Franklin Rivera<br />17<br /></li><li>EnergÃa (E)<br />Las unidades de
energÃa son lasmismasquetrabajo ( joules)<br />Tanto la enegÃacomo el trabajo son
scalar y no vectores.<br />A mayor trabajohecho en algo, mayor energÃa se esganada
y mayor será el trabajorecuperado<br />Podriamosdecirque la energÃ-
aestrabajoalmacenado<br />Para ser capaz de hacer un trabajodebehaberenergÃ-
aalmacenada<br />Prof. Franklin Rivera<br />18<br /></li><li>Energy (E)<br />Cuando
se lanzaunapelotaustedestatransfiriendosuenergia a la
pelotaparaqueestapuedamoverse<br />Variastipos de energiapueden verse,
comoporejemploenergiaquimica, electrica, nuclear y gravitacionalademas de
otrasasociadascomocalor, sonido, luz y radiacion<br />Prof. Franklin Rivera<br
/>19<br /></li><li>Energia Cinetica (KE)<br />La energiaCineticaes un tipo de
energia de movimiento, la energia del movimiento se debe al movimiento del
cuerpo.<br />La cantidad de energiacineticadepende de sumasa y
velocidaddondedecimos:<br />                   KE = 1/2 mv²<br />La
energiacinetica de un cuerpo en movimientoesproporcional a al cuadrado de
suvelocidad<br />Prof. Franklin Rivera<br />20<br /></li><li>Energia Cinetica
(KE)<br />Otra forma de energiacineticaesporrotacion<br />Al hacerquealgogire se
hace un trabajo<br />Como la tierra y la lunagiran o cuando un bailarin de
patinajegira se tieneenergiacinetica<br />La cantidad de energiacinetica al
girardepende de sumasa, de la rapidez de rotacion y de la distribucion de masa<br /
>Prof. Franklin Rivera<br />21<br /></li><li>Energia Potencial (PE)<br />Energiaque
se tienedebido a suposicion u orientacion. Energiaque el sistemaposeedebido a
suconfiguracion<br />La cantidad de energiapotencialque un sistemaadquiereesigual
al trabajohechoparaponerlo en esaconfiguracion<br />Cuando un objetoeslanzado se le
estadandounaenergiapotencialquepuede ser usadapararealizar un trabajo<br />Este
tipo de trabajoesta dado por la ecuacion PE = trabajohecho = Wd = mgd<br />Prof.
Franklin Rivera<br />22<br /></li><li>Energia Potencial (PE)<br />Una catapulta
cargada con una roca posee energia potencial y al soltarla la energia de la roca se
vuelce cinetica<br />Un resorte comprimido posee energia potencial que al soltarlo
se convierte en energia cinetica<br />La banda o borde de una mesa de billar posee
energia potencial elastica<br />Una persona bajando por una chorrera seria energia
potencial gracitacional que se vuelve energia interna<br />La energia interna se le
conoce a la energia que poseen los atomos y moleculas<br />Prof. Franklin Rivera<br
/>23<br /></li><li>Conservacion de la energia<br />Ley de conservacion de la
energia<br />La energia no puede ser creada no destruida, solo puede ser
transformada o convertida de una forma a otra. La energia total de un
sistemaaisladoesconstante<br />Estaleyindicaque la energiaesunacomodidad y que no
puede se producidapor nada o desaparecidapor nada.<br />Si un trabajocomienza a
darse o una forma de energiaapareceentoncesesaenergia se estautilizando o se
estaconvirtiendo en algo<br />Las estrellasconviertensuenergia nuclear en calor y
radiacion<br />Prof. Franklin Rivera<br />24<br /></li><li>Conservacion de la
E<br />Prof. Franklin Rivera<br />25<br /></li><li>Conservacion de Energia<br
/>Unaplantahidroelectricausadiversostipos de energia y estaestransformada en
cadaetapa del proceso<br />Prof. Franklin Rivera<br />26<br /></li><li>Conservacion
de Enegia<br />Decimos que la energia inicial sera igual a le energia final y que
la energia total es igual a la suma de todas las energias<br />En una caida libre E
= PE + KE<br />Justo antez de tocar suelo la PE=0 y la energia total sera E = KE +
0<br />KE = ½ mv² = mgd<br />Prof. Franklin Rivera<br />27<br /></li><li>Prof.
Franklin Rivera<br />28<br />Conservacion de Enegia<br /></li><li>Prof. Franklin
Rivera<br />29<br />Conservacion de Enegia<br /></li><li>Colisiones<br />Durante
momentum linear hablamos de tipos de colisiones. En algunascolisiones la unica
forma de energiaqueveremosenvueltaantez y despuez sera la cinetica KE. <br />La
energia total en unacolisionessiempreconservada<br />En adicionlascolisiones son
clasificadas en dos categorias<br />Prof. Franklin Rivera<br />30<br /></li><li>La
colision elastica es una en la cual la KE total los cuerpos colisionantes antez
sera igual a la KE despuez de la colicion<br />Una colision Inelastica es una e la
cual la KE total
 los cuerpos colisionantes antez no sera igual a la KE despuez de la colicion. La
KE total antez puede ser mayor que o menor que la KE despuez de colisionar.<br
/>Prof. Franklin Rivera<br />31<br />Colisiones<br /></li><li>Colision
elastica<br />Colision inelastica<br />Prof. Franklin Rivera<br />32<br
/>Colisiones<br /></li><li>Las colisiones son responsables de fenomenoscomo la
presion de los gases y de la temperatura<br />Porejemplolasmolecula de
airecolisionan con lasparedesinternas de un globomanteniendoesteinflado.<br
/>Cuando se tocahielo, lasmoleculas de los dedoscolisionan y pasansuenergia a
lasmoleculas del hielobajando la temperatura de los dedos<br />Prof. Franklin
Rivera<br />33<br />Colisiones<br /></li><li>Poder (Power)<br
/>Yahemosvistovariostipos de trabajosrealizados y tipos de energiastransformadas en
otras<br />Ademas la cantidad de tiempoenvuelta en estosprocesos no se ha tomado en
consideracion<br />En estaseccionestaremoshablandosobre la relacion de trabajo,
distancia y tiempomejorconocidacomopoder o potencia<br />Prof. Franklin Rivera<br /
>34<br /></li><li>Poder (P)<br />Poderes la rapidez de hacertrabajo. <br />Es la
rapidez en la cual la energiaestransformada o transferida<br />Es el
trabajodividido entre el tiempo<br />Es la energiatransferidadividida entre el
tiempo<br />            P = trabajo/ t          P = E / t<br />Power (P) se mide
en watt W, ft lb/s y en caballos de fuerza (hp)<br />Prof. Franklin Rivera<br
/>35<br /></li><li>En el sistemainternacionallasunidades de poderque son usadases
el Watt = Joules / segundo<br />P = work / t = Joules / seg = watt<br
/>Podemosdecirque 1 watt= 1 joule / seg<br />Si vemosunabombilla de 60 watt
decimosqueesta consume energiaelectrica de 60 watt/ seg<br />Prof. Franklin
Rivera<br />36<br />Poder<br /></li><li>Hp o caballos de fuerzaes la
unidadmascomunutilizada en el sistema ingles masauncuandohablamos de motores.<br
/>La conversion de caballos de fuerza a watt seria 1 hp = 550 ft lb/ s = 746
watt<br />La relacion de poder y trabajoseria de la siguiente forma P = work / t
<br />Prof. Franklin Rivera<br />37<br />Poder<br /></li><li>Poder<br />El
podertienesuslimites y los limita el cuanrapido el trabajo se hace y el
tiempo.<br />Porejemplo un auto de 100hp podriaarrojar de 0 a 100 hp, a
medidaqueaceleradebido a quevaaumentando el caballajequetiene el motor.<br />El
cuerpohumanotambientienepodermaximoqueeslimitado, este se usasegun la necesidad de
fuerzarequerida<br />Porejemplo se requieremaspoderparacorrerqueparacaminar. <br
/>Prof. Franklin Rivera<br />38<br /></li><li>Rotacion y momentum angular<br />La
ley de rotacion de momentum angular dice que: El momentum angular total de un
sistema aislado es constante.<br />Para un sistema aislado la ley de conservacion
de momentum angular aplica cuando la unica fuerza neta que actua sobre el objeto
sera hacia afuera de centro<br />La fuerza centripetal mantendra el objeto en
movimiento <br />Prof. Franklin Rivera<br />39<br /></li><li>Rotacion y momentum
angular<br />La fueraque se ejerceadicional a la que se hacehaciafuera de centro se
le conocecomo torque.<br />Tomaremos en consideracionpara momentum angular sumasa,
velocidad y radio de circumferencia.<br />Momentum angular = m v r<br />El radio
determinara la velocidad del spinning del objetodondevelocidadaumentasidisminuye el
radio.<br />Prof. Franklin Rivera<br />40<br /></li></ol>
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Capitulo 3-enegia-y-conservacion-de-masas

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  • 12. </ul> <div class="viewMore action-morefavs" style="display:none"><a href="#" class="ilink" rel="nofollow">more</a></div> </div> </div> <!-- downloader list starts here --> <!-- downloader list ends here --> </div> <div class="slideshow-transcript"> <a rel="nofollow" id="text-version"></a> <h2 class="h-slideshow-title">Capitulo 3 enegia y conservacion de masas - Presentation Transcript</h2> <!-- disable_ad_section_start(weight=0.5) --> <ol class="transcripts h-transcripts"><li>Capitulo 3 EnergÃa y Conservación de Masas<br />Prof. Franklin Rivera<br />1<br /></li><li>Ley de Conservación<br />Estaley dice quelasmasa total en un sistemaaisladopermanececonstante<br />Cuandodecimosaislado, quieredecirque nada entra o sale del sistema<br />Un ejemplo de estoserÃaunabotellasellada con 16 oz de agua. Estacontendráesamismacantidad. Si transferimos el agua de un botella a otradebehaberexactamente 16 oz de agua, nimasnimenos<br />Prof. Franklin Rivera<br />2<br /></li><li>Momentum Linear<br />Definimos el momentum linear como el producto de la masa de un cuerpo y velocidad<br />Su fórmula de momentum (P) = (masa) (velocidad)<br />P = m v<br />Decimosquees un vector porquetienevelocidad, oseaquetienemagnitud y dirección<br />Incorpora la masa con el movimiento<br />Si un objetoestá en repososuvelocidades cero y su momentum es cero<br />Mientrasmasrápidoes la velocidad mayor será el momentum<br />Momentum tambienesconocidocomoimpulso<br />Prof. Franklin Rivera<br />3<br /></li><li>Momentum Linear<br />Cálculos de momentum para un objeto en reposo con masa de 2 Kg y velocidad de cero. <br />Momentum = (2kg x 0 m/s) = 0<br />Un ciclista con subicicletapesa 80Kg y llevaunavelocidad de 10 m/s, <br />Su momentum serÃa<br />P = (80Kg x 10m/s ) = 800Kg âl™m/s <br />Prof. Franklin Rivera<br />4<br /></li><li>Momentum y la Segunda ley de Newton<br />Veremosuna forma alterna de comoes la segundaley de Newton en términos de momentum donde :<br />Decimosqueunafuerzanetaexternaqueactúasobre un objetoigualasurapidez y momentum linear<br />Fuerza = Cambio en momentum <br />Cambio en tiempo<br />F = Δmv<br />Δt<br />Esto se cumplesi y solo si la masaesconstante.<br />Prof. Franklin Rivera<br />5<br /></li><li>Momentum<br />El momentum es un vector debido a quetienemagnitud y dirección. El vector de un auto es mayor que el unabicicletaportener mayor masa, aunque la velocidad sea la misma<br />Prof. Franklin Rivera<br />6<br /></li><li>Momentum y la Segunda ley de Newton<br />Si la masaesconstanteentoncespodemosdecirque<br />F = m (Δ v / Δt ) = m a <br />debido a que a= Δ v / Δt <br />Dondemes la masa y a la aceleración<br />Si la masa cambia entonces<br />Usamos la siguiente<br />F = Δmvsidespejamos … Δ (mv) = FΔt<br />Δt<br />Prof. Franklin Rivera<br />7<br /></li><li>Ley de conservación de momentum linear<br />Dice que el momentum linear total de un sistemaaisladopemanececonstante<br />Donde un sistemaaisladoserÃ- aunodondefuerzasexterna no causaránningunefectosobre el momentum de un objetodentro de esesistema.<br />El momentum de un objetocambiarÃ- asiotroobjetoactuasobre el en esesistema<br />Prof. Franklin Rivera<br />8<br /></li><li>Conservación del momentum linear<br />Cuandouna bola de billaresta en movimiento, la bola lleva un momentum en el sistemaqueserÃa la mesa de billar. Si la bola coliciona con otra bola queesta en descansosu momentum sera cambiado.<br />El momentum de la segunda bola aumenta y el de la primeradisminuye.<br />Pero la suma de ambos momentum seráigual al momentum inicial<br />mvántez = total mvdespues<br />Prof. Franklin Rivera<br />9<br /></li><li>Cónservacin de Momentum Linear<br />Prof. Franklin Rivera<br />10<br /></li><li>Conservación del momentum linear<br />Si la ecuaciónesmvantez = mvdespuezentonceslasdefinimoscomom1v1=
  • 13. m2v2<br />Si despejamoslas variables tendremos<br /> v1 = m2<br /> v2 m1<br />En el caso de quelos objetosvayan en direccionesopuestasentonces el signo de la fueza de -m2v2sera negativa.<br />Prof. Franklin Rivera<br />11<br /></li><li>Trabajo<br />Es la fuerzaactuandosobreunadistancia en direccion a la fuerza<br />Trabajo = Fuerza x distancia<br />W = F d <br />Donde W estrabajo, F es la fuerza y d es la distancia<br />Las unidades de trabajo se dan en:<br /> Joules (J), calorias (cal), ergios (erg), Kilowatt-hora (kW-hr), BTU, pies-libras (ft-lb)<br />Prof. Franklin Rivera<br />12<br /></li><li>Trabajo<br />Prof. Franklin Rivera<br />13<br /></li><li>Trabajo<br />Si deseamosdeslizarunacajasobre el suelo y debido a su peso y friccióntuvieramosqueejercerunafuerza de 100 N paradeslizarla 3 m. Entoncessiguiendo la fórmula, el trabajoejercidoresulta en…<br />W = Fddonde W = 100N x 3m = 300N-m<br />N-m se define como Joules (J) oseaque 300J fue el trabajorequerido<br />Prof. Franklin Rivera<br />14<br /></li><li>Trabajo<br />Si tuvieramosquelevantarunacaja de 30kg a unaaltura de 1.2 metros. ¿CuantoserÃa el trabajo?<br />si la fuerzaes el peso de la cajaentonces F=mgdporque F= ma = mg <br />w = 30kg x 9.8m/s2 x 1.2m <br />w = 353 joules<br />El trabajo de levantar la caja se<br />calcula con la aceleración<br />gravitacional de 9.8 m/s2<br />Prof. Franklin Rivera<br />15<br /></li><li>Trabajo en Caida Libre<br />Cuando un objetobaja en caidalibre, la fuerza de gravedades la queactúa en el objeto.<br />En particular cuando un objetocae a unadistancia d, el trabajohecho se debepor la fuerza de gravedad<br />W = Fdsi F = W = mg entonces<br />W = mgd<br />Prof. Franklin Rivera<br />16<br /></li><li>Energy (E)<br />El Trabajoestacompletado en algocuandoesteganaenergÃa<br />La energÃapuede ser usadaparahacer un trabajo. <br />Cuandolanzamosuna bola se le proveeenergÃa en el lanzamiento y esta se mueve<br />EnergÃaes la medida de capacidad de un sistemaparalograr un trabajo y esteestransferidocuando se logra el trabajo<br />Prof. Franklin Rivera<br />17<br /></li><li>EnergÃa (E)<br />Las unidades de energÃa son lasmismasquetrabajo ( joules)<br />Tanto la enegÃacomo el trabajo son scalar y no vectores.<br />A mayor trabajohecho en algo, mayor energÃa se esganada y mayor será el trabajorecuperado<br />Podriamosdecirque la energÃ- aestrabajoalmacenado<br />Para ser capaz de hacer un trabajodebehaberenergÃ- aalmacenada<br />Prof. Franklin Rivera<br />18<br /></li><li>Energy (E)<br />Cuando se lanzaunapelotaustedestatransfiriendosuenergia a la pelotaparaqueestapuedamoverse<br />Variastipos de energiapueden verse, comoporejemploenergiaquimica, electrica, nuclear y gravitacionalademas de otrasasociadascomocalor, sonido, luz y radiacion<br />Prof. Franklin Rivera<br />19<br /></li><li>Energia Cinetica (KE)<br />La energiaCineticaes un tipo de energia de movimiento, la energia del movimiento se debe al movimiento del cuerpo.<br />La cantidad de energiacineticadepende de sumasa y velocidaddondedecimos:<br /> KE = 1/2 mv²<br />La energiacinetica de un cuerpo en movimientoesproporcional a al cuadrado de suvelocidad<br />Prof. Franklin Rivera<br />20<br /></li><li>Energia Cinetica (KE)<br />Otra forma de energiacineticaesporrotacion<br />Al hacerquealgogire se hace un trabajo<br />Como la tierra y la lunagiran o cuando un bailarin de patinajegira se tieneenergiacinetica<br />La cantidad de energiacinetica al girardepende de sumasa, de la rapidez de rotacion y de la distribucion de masa<br / >Prof. Franklin Rivera<br />21<br /></li><li>Energia Potencial (PE)<br />Energiaque se tienedebido a suposicion u orientacion. Energiaque el sistemaposeedebido a suconfiguracion<br />La cantidad de energiapotencialque un sistemaadquiereesigual al trabajohechoparaponerlo en esaconfiguracion<br />Cuando un objetoeslanzado se le estadandounaenergiapotencialquepuede ser usadapararealizar un trabajo<br />Este tipo de trabajoesta dado por la ecuacion PE = trabajohecho = Wd = mgd<br />Prof. Franklin Rivera<br />22<br /></li><li>Energia Potencial (PE)<br />Una catapulta cargada con una roca posee energia potencial y al soltarla la energia de la roca se vuelce cinetica<br />Un resorte comprimido posee energia potencial que al soltarlo se convierte en energia cinetica<br />La banda o borde de una mesa de billar posee energia potencial elastica<br />Una persona bajando por una chorrera seria energia potencial gracitacional que se vuelve energia interna<br />La energia interna se le conoce a la energia que poseen los atomos y moleculas<br />Prof. Franklin Rivera<br
  • 14. />23<br /></li><li>Conservacion de la energia<br />Ley de conservacion de la energia<br />La energia no puede ser creada no destruida, solo puede ser transformada o convertida de una forma a otra. La energia total de un sistemaaisladoesconstante<br />Estaleyindicaque la energiaesunacomodidad y que no puede se producidapor nada o desaparecidapor nada.<br />Si un trabajocomienza a darse o una forma de energiaapareceentoncesesaenergia se estautilizando o se estaconvirtiendo en algo<br />Las estrellasconviertensuenergia nuclear en calor y radiacion<br />Prof. Franklin Rivera<br />24<br /></li><li>Conservacion de la E<br />Prof. Franklin Rivera<br />25<br /></li><li>Conservacion de Energia<br />Unaplantahidroelectricausadiversostipos de energia y estaestransformada en cadaetapa del proceso<br />Prof. Franklin Rivera<br />26<br /></li><li>Conservacion de Enegia<br />Decimos que la energia inicial sera igual a le energia final y que la energia total es igual a la suma de todas las energias<br />En una caida libre E = PE + KE<br />Justo antez de tocar suelo la PE=0 y la energia total sera E = KE + 0<br />KE = ½ mv² = mgd<br />Prof. Franklin Rivera<br />27<br /></li><li>Prof. Franklin Rivera<br />28<br />Conservacion de Enegia<br /></li><li>Prof. Franklin Rivera<br />29<br />Conservacion de Enegia<br /></li><li>Colisiones<br />Durante momentum linear hablamos de tipos de colisiones. En algunascolisiones la unica forma de energiaqueveremosenvueltaantez y despuez sera la cinetica KE. <br />La energia total en unacolisionessiempreconservada<br />En adicionlascolisiones son clasificadas en dos categorias<br />Prof. Franklin Rivera<br />30<br /></li><li>La colision elastica es una en la cual la KE total los cuerpos colisionantes antez sera igual a la KE despuez de la colicion<br />Una colision Inelastica es una e la cual la KE total los cuerpos colisionantes antez no sera igual a la KE despuez de la colicion. La KE total antez puede ser mayor que o menor que la KE despuez de colisionar.<br />Prof. Franklin Rivera<br />31<br />Colisiones<br /></li><li>Colision elastica<br />Colision inelastica<br />Prof. Franklin Rivera<br />32<br />Colisiones<br /></li><li>Las colisiones son responsables de fenomenoscomo la presion de los gases y de la temperatura<br />Porejemplolasmolecula de airecolisionan con lasparedesinternas de un globomanteniendoesteinflado.<br />Cuando se tocahielo, lasmoleculas de los dedoscolisionan y pasansuenergia a lasmoleculas del hielobajando la temperatura de los dedos<br />Prof. Franklin Rivera<br />33<br />Colisiones<br /></li><li>Poder (Power)<br />Yahemosvistovariostipos de trabajosrealizados y tipos de energiastransformadas en otras<br />Ademas la cantidad de tiempoenvuelta en estosprocesos no se ha tomado en consideracion<br />En estaseccionestaremoshablandosobre la relacion de trabajo, distancia y tiempomejorconocidacomopoder o potencia<br />Prof. Franklin Rivera<br / >34<br /></li><li>Poder (P)<br />Poderes la rapidez de hacertrabajo. <br />Es la rapidez en la cual la energiaestransformada o transferida<br />Es el trabajodividido entre el tiempo<br />Es la energiatransferidadividida entre el tiempo<br /> P = trabajo/ t P = E / t<br />Power (P) se mide en watt W, ft lb/s y en caballos de fuerza (hp)<br />Prof. Franklin Rivera<br />35<br /></li><li>En el sistemainternacionallasunidades de poderque son usadases el Watt = Joules / segundo<br />P = work / t = Joules / seg = watt<br />Podemosdecirque 1 watt= 1 joule / seg<br />Si vemosunabombilla de 60 watt decimosqueesta consume energiaelectrica de 60 watt/ seg<br />Prof. Franklin Rivera<br />36<br />Poder<br /></li><li>Hp o caballos de fuerzaes la unidadmascomunutilizada en el sistema ingles masauncuandohablamos de motores.<br />La conversion de caballos de fuerza a watt seria 1 hp = 550 ft lb/ s = 746 watt<br />La relacion de poder y trabajoseria de la siguiente forma P = work / t <br />Prof. Franklin Rivera<br />37<br />Poder<br /></li><li>Poder<br />El podertienesuslimites y los limita el cuanrapido el trabajo se hace y el tiempo.<br />Porejemplo un auto de 100hp podriaarrojar de 0 a 100 hp, a medidaqueaceleradebido a quevaaumentando el caballajequetiene el motor.<br />El cuerpohumanotambientienepodermaximoqueeslimitado, este se usasegun la necesidad de fuerzarequerida<br />Porejemplo se requieremaspoderparacorrerqueparacaminar. <br />Prof. Franklin Rivera<br />38<br /></li><li>Rotacion y momentum angular<br />La ley de rotacion de momentum angular dice que: El momentum angular total de un
  • 15. sistema aislado es constante.<br />Para un sistema aislado la ley de conservacion de momentum angular aplica cuando la unica fuerza neta que actua sobre el objeto sera hacia afuera de centro<br />La fuerza centripetal mantendra el objeto en movimiento <br />Prof. Franklin Rivera<br />39<br /></li><li>Rotacion y momentum angular<br />La fueraque se ejerceadicional a la que se hacehaciafuera de centro se le conocecomo torque.<br />Tomaremos en consideracionpara momentum angular sumasa, velocidad y radio de circumferencia.<br />Momentum angular = m v r<br />El radio determinara la velocidad del spinning del objetodondevelocidadaumentasidisminuye el radio.<br />Prof. Franklin Rivera<br />40<br /></li></ol> </div> <!-- disable_ad_section_end() --> </div> <div class="column2"> <div class="clearfix details"> <p class="author no-zNominate-only no-lead"> <a href="/solsalir" class="userimage-link j-tooltip-bottom" title="solsalir"><img src="http://public.slidesharecdn.com/images/userImage_SMALL.gif" alt="Franklin Rivera" /><span class="h-username">Franklin Rivera</span></a> <span class="h-section-add-contact potential-contact user-25430538"><a href="#" title="Follow this user" class="followAuthor ctaNormal h-action-add-contact j- tooltip-bottom" rel="nofollow">+ Follow</a></span> </p> <p class="stats"> <span class="stats-text"><span class="h-view-count viewCount">249 views</span><span class="h-other-count">, 1 fav, 2 embeds</span></span> <a href="#" class="ilink h- toggle-description" rel="nofollow">more</a> </p> <!-- disable_ad_section_start(weight=0.5) --> <div class="description h-not-truncated" style="display:none"> <p>Energia y ley de Conservacion</p> </div> <!-- disable_ad_section_end() --> </div> <div class="ad_300x25 lostchild slideview_link1_fill" style="border:0;margin:0;padding:0;width:300px"><!-- <script type="text/javascript"> GA_googleFillSlot("slideview_link"); </script> --></div> <script type="text/javascript"> // <![CDATA[ if (window.slideshare_object && slideshare_object.remove_if_blank) { slideshare_object.remove_if_blank('.slideview_link1_fill'); } // ]]> </script> <div class="column2Sidebar"> <div class="tabsContainer tabbox horzTabs" id="moreRelated"> <div class="tab selected related-tab h-related-tab"> <h2><a href="#relatedList" rel="nofollow">Related</a></h2> <div class="tabContent" id="relatedList"> <ul class="clearfix moreRelated h-related-slideshows"> <li> <a href="/solsalir/capitulo-4-5-physics-of-matter" title="FÃsica de la materia"> <span class="no-docThumbOverlay">
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