Question

A rocket is used to place a

synchronoussatellite in orbit about the earth. What is the speed of
thesatelliet in orbit?

Answer 1

3073 m/s

Step-by-step 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:

`4\pi^2 r^3 = G MT^2`

`4\pi^2 r^3= 6.67*10^(-11)*6*10^(24)*86400^2`

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