ࡱ> q` 8bjbjqPqP N::B(((<@@@@T$<. #-------$+0h2V.E(^.].((--*T(2- n@\@a|+-s.0.+622,2-2(2-+^ LYt+++..}+++.<<< @<<<@<<< UNIVERSIDAD DE CASTILLA-LA MANCHA Pruebas de aptitud para el acceso a estudios universitarios (Bachillerato L.O.G.S.E.) FSICA El alumno deber contestar a una de las dos opciones propuestas A o B. Los problemas puntan 3 puntos cada uno y las cuestiones 1 punto cada una. Se penalizar con 075 puntos si se cometen ms de 3 faltas graves de ortografa y un mximo de 050 puntos si se cometen 3 o menos. Se podr utilizar una calculadora y una regla. OPCIN A PROBLEMAS: 1.- Dos esferas conductoras de radios 90 y 45 cm, estn cargadas a un potencial de 10 y 20 V, respectivamente. Las esferas se encuentran en el vaco y sus centros estn separados una distancia de 10 m. Determinar: a) La carga de cada esfera b) La fuerza que se ejercen entre s ambas esferas, Es repulsiva o atractiva? c) La carga que adquirir cada esfera si ambas se unen con un cable conductor de capacidad despreciable. (k = 900(109 Nm2/C2) (3 puntos) 2.- Una onda armnica transversal se propaga en la direccin positiva del eje X con una longitud de onda de 10 cm. El foco emisor vibra con una frecuencia de 50 Hz y una amplitud de 3 cm. Determina: a) La ecuacin de la onda, si en el instante inicial t = 0 s en el origen de coordenadas la elongacin de la onda es nula b) La velocidad mxima de vibracin de un punto cualquiera del medio de propagacin c) El instante en que un punto que se encuentra a 30cm del origen, alcanza por primera vez velocidad de vibracin nula. (3 puntos) CUESTIONES: 3.- Un bloque de 10kg de masa pende verticalmente de un muelle como se indica en la figura. En el laboratorio se ha medido cuatro veces el tiempo que tarda el bloque de la figura en realizar 10 oscilaciones completas. Los resultados de la medicin son 102, 97, 96 y 104 s. Estima el valor de la constante elstica del muelle. (1 punto) 4.- Un electrn y un protn describen trayectorias circulares en el seno de un campo magntico uniforme B con la misma velocidad v. Cul ser la relacin entre sus velocidades angulares? ( me=911(10-31kg, mp=167(10-27kg ) (1 punto) 5.- Obtener de forma grfica la imagen de un objeto en un espejo esfrico convexo. Indicar las caractersticas de dicha imagen. (1 punto) 6.- El trabajo de extraccin para el zinc es 431eV, lo iluminamos con luz monocromtica de longitud de onda 4(10-7m . a) Determina la frecuencia umbral; b) Se emitirn electrones? ( h=663(10-34Js, c=30(108m/s, 1eV=160(10-19J ) (1 punto) OPCION B PROBLEMAS: 1.- La aceleracin de la gravedad sobre la superficie de un planeta es 372m/s2 siendo su radio 2536 km. Determina: a) La masa del planeta b) La velocidad que llevar una nave que orbite a 500 km sobre la superficie del planeta c) La velocidad de escape desde la superficie del planeta ( G = 667(10-11 Nm2/kg2 ) (3 puntos) 2.- Dos conductores rectilneos, paralelos y de gran longitud, estn separados por una distancia de 10cm. Por cada uno de ellos circula una corriente elctrica en el mismo sentido de valores I1= 8 A e I2= 2 A . a) Determina la expresin vectorial del campo magntico en el punto P situado entre los dos conductores a 4cm del primero. b) Determina la fuerza que por unidad de longitud ejerce el primer conductor sobre el segundo. Para ello haz un dibujo en el que figuren, la fuerza y los vectores cuyo producto vectorial te permiten determinar la direccin y sentido de dicha fuerza. La fuerza es atractiva o repulsiva? ((0= 4(10-7 Tm/A) (3 puntos) CUESTIONES: 3.- Qu le ocurrir a un electrn si es abandonado en reposo en el punto B de la figura?, y si es abandonado en el punto A, que se encuentra en el punto medio entre las cargas? Las dos partculas cargadas de la figura son positivas e iguales. (1 punto) 4.- La ecuacin de una onda viene dada por la expresin y(t,x)=0,03sen(8t-4x), expresada en S.I. a) Es transversal o longitudinal?; b)Cul es la diferencia de fase entre dos puntos del medio de propagacin separados por una distancia horizontal de 15cm? (1 punto) 5.- Una onda luminosa incide desde el aire sobre una lmina de vidrio con un ngulo de incidencia de 40. La luz se propaga por el vidrio formando un ngulo de 25 con la normal. Calcular la velocidad de propagacin de la luz en el vidrio. ( c = 300(108 m/s ) (1 punto) 6.- El estudio de una momia egipcia demuestra que su actividad radioactiva es las partes de la actividad de un ser vivo. 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