Question

A satellite orbiting Earth at an orbital radius
`r` has a velocity
`v`. Which represents the velocity if the satellite is moved to an orbital radius of
`4r`?

A.
`4v`
B.
`(1)/(2)v`
C.
`(1)/(4)v`
D.
`2v`

Answer 1

Answer: C

Step-by-step explanation:

The bigger the satellite, the longer it will take to get around the satellite. Hence, the velocity would get smaller.

r*v=4r*?

r*v/4r=?

r/4r * v=?

1/4 * v=?

?=v/4 ==> C