Question

Two artificial satellites, 1 and 2, orbit the Earth in circular orbits having radii R₁ and R₂, respectively, as shown. If R₂ = 2R₁, the accelerations a₂ and a₁ of the two satellites are related by which of the following?

(A) a₂ = 4a₁ 

(B) a₂ = 2a₁ 

(C) a₂ = a₁ 

(D) a₂ = a₁/2 

(E) a₂ = a₁/4

Answer 1

Correct option (E) a₂ = a₁/4

a = g = GM/r2,  if R₂ = 2R₁ then a₂ = ¼a₁