find the speed of a satillite in orbit 1000km above the Earth's surface.
mass of Earth 5.98*10^24kg
mass of satellite = 50.0kg
radius of earth=6.38*10^6m
so i used V= square root of G*mass of earth/r
The Attempt at a Solution
V= square root of (6.673*10^-11)(5.98*10^24)/7.38*10^6)
note***7.38*10^6 is the radius of the Earth plus the 1000km above the Earth's surface***
i get V= 7.353*10^3m/s
ok now my real question is if i DECREASE the distance above the Earth let's say by 100km i know that the velocity or my speed will increase but can someone tell me why this increases? i understand how in figuring out with numbers but why does the speed increase as the distance gets closer to the center?