Question

A satellite orbiting Earth at an orbital radius r has a velocity v. What would the velocity be if the satellite is moved to an orbital radius of 6r?(1 point)
Responses

6–√v
6
𝑣
square root of 6 v

6v
6
𝑣
6 v

16v
1
6
𝑣
1 sixth v

16√v
1
6
𝑣
the fraction with numerator 1 and denominator square root of 6 v

Answer 1

v' = v / √6.

Reason: v = √(GM/r), so v' = √(GM/(6r)) = √(GM/r)/√6 = v/√6.