Hi there!
The period of an orbit can be found by:
[tex]T = \frac{2\pi r}{v}[/tex]
T = Period (? s)
r = radius of orbit (6400000 m)
v = speed of the satellite (8000 m/s)
This is the same as the distance = vt equation. The total distance traveled by the satellite is the circumference of its circular orbit.
Let's plug in what we know and solve.
[tex]T = \frac{2\pi (6400000)}{8000} = \boxed{5026.55 s}[/tex]
