Asatellite originally moves in a circular orbit of radius r around the earth. suppose it is moved into a circular orbit of radius 4r. what happens to the satellite's speed?

The speed of satellite moving into circular orbit of radius 4R will become half of the speed of satellite moving into circular orbit of radius R.

Explanation:

Speed of satellite revolving around the central body in a circular path:

Where :

G = gravitational constant =

M = Mass of body around which satellite is orbiting

R = radius of the orbit from the satellite

A satellite originally moves in a circular orbit of radius R around the Earth.The velocity of satellite will be ;

..[1]

If the same satellite moves in a circular orbit of radius $R around the Earth.The speed of satellite will be :

..[2]

Dividing [1] and [2]:

The speed of satellite moving into circular orbit of radius 4R will become half of the speed of satellite moving into circular orbit of radius R.