Answer:
3073 m/s
Explanation:
The key is that the period of the satellite is 24 hours because it is synchronized with the rotation of the Earth. You can use Kepler's Third law to find the radius of the orbit:
[tex]4\pi^2 r^3 = G MT^2[/tex]
[tex]4\pi^2 r^3= 6.67\times10^{-11}\times6\times10^{24}\times86400^2[/tex]
r = 4.225 x 10^7 meters
So one complete orbit is a distance of
[2πr = 2× π × 4.225 x 10^7 = 26.55 x 10^7 meters
So the speed is
distance / time = 26.55 x 10^7 meters / 86400 seconds =
= 3073 m/s
