contestada

A satellite is in a stable circular orbit around the earth. Another satellite is in a stable circular orbit at a greater altitude must have
A. a smaller speed and a shorter period.
B. a smaller speed and a longer period.
C. a greater speed and a shorter period.
D. a greater speed and a longer period.

Respuesta :

B. a smaller speed and a longer period.

[tex]F_c = m \frac{v^2}{r} = m \frac{4 \pi^2 r}{T^2}[/tex]

[tex]F_c \propto 1/r[/tex],
[tex]F_c \propto 1/T^2[/tex],
[tex]F_c \propto v^2[/tex].

Therefore, increasing the radius decreases [tex]F_c[/tex]
Deceasing [tex]F_c[/tex] increases the period.
Decreasing [tex]F_c[/tex] decreases the speed.

D. a greater speed and a longer period.

Otras preguntas