¿cuál es el desplazamiento, en metros, que recorrerá un “skater” al viajar hacia el este a una velocidad de 37 km/h durante 3 minutos?
Santiago
Chicos, ¿alguien sabe la respuesta?
obtenga ¿cuál es el desplazamiento, en metros, que recorrerá un “skater” al viajar hacia el este a una velocidad de 37 km/h durante 3 minutos? de este sitio.
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Con velocidad constante es d = v . tv = 37 km/h = 10,28 m/s; 3 min = 180 sd = 10,28 m/s . 180 sd = 1850,4 mSaludos.
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PROFESORADO DE QUÍMICA
MECÁNICA Y ÓPTICA GEOMÉTRICA- Prof. S. Calderón
PARCIALES DE AÑOS ANTERIORES
Física Mecánica y óptica geométrica
1er parcial 1.
Un automóvil está detenido frente a un semáforo. Cuando se enciende la luz verde, el auto
arranca con aceleración constante hasta alcanzar una rapidez de 20 m/s en 8s. El auto continúa con
velocidad constante durante 40 m y luego, al aproximarse a un semáforo en rojo, el conductor
frena con aceleración constante de 4 m/s
2 y detiene el auto.
a) dibujar los gráficos x(t), v(t) y a(t) para el movimiento del auto
b) ¿cuánto tiempo estuvo el auto en movimiento?
2. Un jugador de fútbol patea un tiro libre a 29 m del arco. La pelota abandona el pie del jugador
con una rapidez de 19 m/s con un ángulo de 37º . El arquero ataja la pelota justo al momento en
que entraría al arco. ¿A qué altura del suelo el arquero atrapa la pelota?
3. Un tronco de 205 kg se sube por una rampa inclinada 30º con respecto a la horizontal por medio
de una cuerda paralela a la misma. Hallar la tensión de la cuerda sabiendo que el tronco tiene una
aceleración de 0.8 m/s
2
y el coeficiente de fricción cinético entre el tronco y la rampa es 0.9 .
4.
RESOLVER UTILIZANDO EL CONCEPTO DE ENERGÍA
Una piña de pino de 0,25 kg cae de una rama a 20 m sobre el suelo.
a)
¿con que velocidad caería al suelo si no hubiese resistencia del aire?
b)
Si llega al suelo con una rapidez de 9 m/s ¿cuál fue la fuerza promedio que ejerció el aire sobre
la piña?
Física Mecánica y óptica geométrica
RECUPERATORIO 1er parcial
1.
Desde la ventana de un edificio que se encuentra a 22 m de altura, se lanza verticalmente hacia
arriba una moneda con velocidad v = 8,8 m/s. ¿Cuánto tarda la moneda en llegar al suelo?
¿Con qué velocidad llega al suelo?
2.
Se dispara una flecha desde el borde de un faro de 30 m de altura formando un ángulo
ϕ con la
horizontal. Sabiendo que cuando la flecha alcanza la altura máxima se encuentra a 240 m
(medidos horizontalmente) del faro y tiene una velocidad de 30 m/s, hallar la velocidad inicial
con la flecha salió disparada.
3.
Una persona empuja una caja de 3,35 kg apoyada sobre una rampa inclinada 37º respecto de la
horizontal. La persona ejerce la fuerza paralela a la rampa y la caja sube con aceleración de
1,85 m/s 2
. Sabiendo que el coeficiente de rozamiento entre la caja y la superficie es 0,45
a)
confeccionar el diagrama de cuerpo libre de la caja
b)
¿cuál es intensidad de la fuerza que ejerce la persona sobre la caja?
4. (Resolver con consideraciones energéticas) Un niño empuja a su trineo de 8 kg que está sobre
un estanque congelado, provocándole una rapidez inicial de 2 m/s. Sabiendo que el coeficiente
de fricción entre la base del trineo y el hielo es 0,12 ¿qué distancia recorre el trineo antes de
detenerse?
PROFESORADO DE QUÍMICA
MECÁNICA Y ÓPTICA GEOMÉTRICA- Prof. S. Calderón
ALUMNO: ...............................................................................................................
1 (2p) 2 (3p) 3 (3 p) 4 (2p)
a b c a b c a b a b 1.
El gráfico representa la posición en función del tiempo para el movimiento de
dos cuerpos que tienen trayectoria rectilínea. Describir coloquialmente el
movimiento de cada uno, explicitando:
a) cómo se mueve el cuerpo respecto del sistema de referencia elegido en los
intervalos (0,t 1 ) y en (t 1 ,t 2
) y cómo es la posición del cuerpo [1] respecto del [2]
en cada instante del intervalo (0,t
1 ) b)
características de la velocidad en los intervalos (0,t
1 ) y en (t 1 ,t 2
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PROFESORADO DE QUÍMICA
MECÁNICA Y ÓPTICA GEOMÉTRICA- Prof. S. Calderón
CINEMÁTICA EN UNA DIMENSIÓN
1.
Un peatón se mueve 6 km hacia el este y 13 km hacia el norte. Determinar el módulo y la
dirección del desplazamiento.
R:14,3 km; 65,22° 2.
Un vector desplazamiento que se encuentra en el plano xy tiene módulo de 50 m y forma un
ángulo de 120º con el eje x positivo. Determinar las componentes x e y del vector.
R: -25 m; 43,30 m 3.
Hallar el módulo y dirección de la resultante de tres desplazamientos consecutivos
cuyas componentes respectivas son: (3,2)m; (-5,3) m y (6,1) m
R: 7,2 m; 56,3° 4.
Una partícula experimenta los siguientes desplazamientos consecutivos: 3,5 m hacia el sur,
8,2 m hacia el norte y 15,0 m hacia el oeste. ¿Cuál es el desplazamiento resultante?
R: 15,72 m; 17,4° 5.
Una partícula se mueve en el plano xy desde un punto que tiene coordenadas (-3,-5) hasta un
punto de coordenadas (-1,8).
1.
escribir el vector posición de cada lugar
2.
hallar el vector desplazamiento. ¿Qué módulo y dirección tiene?
R: 13,15 ; 81,2° 6.
Un automovilista conduce hacia el norte 35 minutos a 85 km/h y se detiene durante 15
minutos. Luego continúa viaje hacia el norte recorriendo 130 km en 2 horas. ¿Cuál es el
desplazamiento total? ¿Cuál fue la velocidad media?
R: 180 km; 63,5 km/h
7.
En t =1 s, una partícula que se mueve con velocidad constante se encuentra en x = -3m, y en
t = 6s la partícula se localiza en x= 5 m.
1.
confeccionar un gráfico x(t) para el movimiento de la partícula
2.
determinar la velocidad de la partícula
3.
escribir la ecuación horaria x(t)
R: -4,6 m+1,6 m/s.t 8.
Se observó la posición de un carrito de carreras de madera en diferentes instantes y los
resultados se resumen en la siguiente tabla. Encontrar la velocidad media del carrito para:
1. el primer segundo 2.
los últimos 3 segundos
c) durante todo el intervalo de
observación
R: 2,3 m/s; 16,1 m/s; 11,5 m/s
9.
En la figura se muestra la gráfica de posición en función del tiempo para una partícula que se
mueve a lo largo del eje x. Hallar la velocidad media de la partícula en los intervalos de
tiempo: 1. de 0 a 2 s 2. de 0 a 4 s 3. de 2s a 4 s 4. de 4 s a 7 s 5. de 0 a 8 s R:
5 m/s;1,25 m/s;-2,5 m/s;-3,3 m/s; 0
x(m) 0 2,3 9,2 20,7 36,8 57,5
t(s) 0 1,0 2,0 3,0 4,0 5,0
PROFESORADO DE QUÍMICA
MECÁNICA Y ÓPTICA GEOMÉTRICA- Prof. S. Calderón
10.
En la figura, se muestra la gráfica de posición
en función del tiempo para una partícula que se
mueve a lo largo del eje x.
Caracterizar la velocidad en los puntos
marcados indicando si es constante, positiva,
negativa, nula, de magnitud creciente o
decreciente 11.
Responde y explica las respuestas:
1.
La velocidad media y la velocidad instantánea en general son cantidades de diferente valor.
¿Pueden ser iguales para un tipo de movimiento en particular? Explica la respuesta.
2.
Si la velocidad media es distinta de cero en algún intervalo de tiempo, esto significa que la
velocidad instantánea nunca es cero durante ese intervalo?
3.
Es posible tener una situación en la cuál la velocidad y la aceleración tengan signos
opuestos? 4.
Si la velocidad de una partícula es distinta de cero ¿puede ser cero su aceleración?
12.
Una partícula se mueve con una velocidad v
0
= 60 m/s en t=0. Entre t=0 y t=15 s, la velocidad
disminuye a cero de manera uniforme. ¿Cuál fue la aceleración media en ese intervalo de
tiempo? Explica el significado físico de la respuesta.
R: -4 m/s 2 13.
En la figura se muestra la velocidad de una partícula en función del tiempo. En t =0, la
partícula está en x= 0
1.
trazar la gráfica de a = a(t)
2.
determinar la aceleración media de la
partícula en los intervalos de tiempo (5s,
15s) y (0s, 20s) 3.
determinar la aceleración instantánea de
la partícula en t = 10 s
R: 1,6 m/s 2 ; 0,80 m/s 2 ; 1,6 m/s 2 14.
Una partícula se mueve a lo largo del eje x de acuerdo con la ecuación x= 2+3t-t
2 , donde x está
en m y t en s. Hallar la posición, la velocidad y la aceleración de la partícula en t = 3 s.
R: 2 m; -3 m/s; -2 m/s
2 15.
Un cuerpo que se mueve con aceleración constante tiene una velocidad de 12 cm/s cuando su
coordenada de posición es x= 3 cm. Dos segundos más tarde la posición es x= -5 cm. ¿Cuál
es la aceleración del cuerpo?
Chicos, ¿alguien sabe la respuesta?