Answer: 4.225 * 10^7m
Explanation:
Remember, there exists only one force acting on earth's satellite system
F = GMm/R²
Where F = magnitude of force that acts on the satellite
G = universal gravitational constant
M = mass of the earth
m = mass of the satellite
R = radius of the earth
It is worthy if note that the gravitational force on the satellite, will provide a kind of centripetal acceleration that pulls the satellite inward, holding it still in a circular orbit.
w = 2π/T
w = angular velocity
T = period, which happens to be 24hrs
w = 2π/24*60*60
w = 7.27 * 10^-5 rad/s
R = [GM/w²]^⅓
R = [(5.98*10^24) * (6.67*10^-11)/(7.27 * 10^-5)²]^⅓
R = 4.225 * 10^7m
