Two artificial satellites, 1 and 2 orbit the Earth in circular orbits having radii [tex]R_{1}[/tex] and [tex]R_{2}[/tex], respectively, as shown above.
1. If R2 = 2R1, the accelerations [tex]a_{2}[/tex] and [tex]a_{1}[/tex] of the two satellites are related by which of the following?
A.[tex]a_{2}[/tex] = [tex]a_{1} /2[/tex]
B. [tex]a_{2}[/tex] = [tex]4a_{1}[/tex]
C. [tex]a_{2}[/tex] = [tex]a_{1} /4[/tex]
D. [tex]a_{2}[/tex] = [tex]2a_{1}[/tex]
2. What is the ratio of their angular speed? [tex]\omega_{2}[/tex] / [tex]\omega_{1}[/tex]
A. [tex]2^{-3/2}[/tex]
B. 1/2
C. 1/4
D. [tex]2^{-1/2}[/tex]
What is the ratio of their linear speed? [tex]v_{2}[/tex]/[tex]v_{1}[/tex] =
A.1/4
B. [tex]2^{-3/2}[/tex]
C. [tex]2^{-1/2}[/tex]
D. 1/2