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## Homework Statement

find the speed of a satillite in orbit 1000km above the earths surface.

mass of earth 5.98*10^24kg

mass of satellite = 50.0kg

radius of earth=6.38*10^6m

## Homework Equations

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 earths surface***

i get V= 7.353*10^3m/s

ok now my real question is if i DECREASE the distance above the earth lets 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?