. TRABAJO DE FISICA
¿SI UN SATELITE VIAJA AL ESPACIO COMO SE
MANTIENE?
Un satélite
permanece en órbita alrededor de la Tierra (o de otro cuerpo celeste) cuando la
fuerza de atracción gravitacional
está equilibrada con la fuerza centrífuga. Como la fuerza de gravedad ejercida
por un cuerpo celeste disminuye en proporción inversa al cuadrado de la
distancia, cuanto más alto esté situado el satélite, menor será la fuerza de
atracción gravitacional y menor, por consiguiente, su velocidad orbita.
La fuerza centrífuga
es el movimiento de un cuerpo en un sistema de referencia en rotación, . le
impide permanecer en reposo sobre la plataforma a menos que él mismo aplique
otra fuerza dirigida hacia el eje de rotación. Así, aparentemente, la fuerza
centrífuga tiende a alejar los objetos del eje de rotación
La fuerza centriguga es partícula de masa y en una posición a
Fc=-mw(w*r)
¿ A QUE ALTURA SE MANTIENE UN SATELITE
EN EL ESPACIO?
A 160 km. de distancia de la Tierra, un
satélite necesita, para permanecer en órbita, una velocidad de aproximadamente
28.000 km./h.; a 500 km. de distancia es suficiente una velocidad de unos 27. 000 km./h.; a 5.000 km. de distancia, la
velocidad desciende a 21.000 km./h
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)
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)
LA GRAVEDAD DEL
SATELITE ES EL ESPACIO DE CUANDO ES?
En otras palabras,
es el recorrido que realiza alrededor de la Tierra. Es como flotar alrededor del
Planeta. Pero antes de entrar en este tema, primero necesitamos saber cómo son
enviados al espacio. La respuesta está en los cohetes. Lo primero que necesita
un satélite y su cohete para salir de la Tierra es velocidad, y claro,
muchísimos cálculos matemáticos.
¿Qué TEMPERATURA EXISTE
EN UN SATELITE EN EL ESPACIO? la temperatura puede
llegar hasta -180º C. Ahora bien, si el astronauta se encuentra de cara al astro rey, el
calor se hace insoportable, alcanzándose los 122 ºC. En el universo, la
temperatura absoluta de la radiación cósmica de fondo es de -266,15 ºC.
EN CONCLUSION PODEMOS DECIR QUE LOS
SATELITES TIENE UNA ORBITA PRECISA Y ESTABLE EN LA SUPERFICIE TERRESTRE ESTO
LOS HACE GIRAR EN ORBITAS SIN CAERSE A LA TIERRA GRACIAS A LA FUERZA CENTRIFUGA
HACE QUE EL SATELITE GIRE ALREDOR DEL UNIVERSO.
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