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
square root of 6 v

1/6v
1 sixth v

6v
6 v

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

Answer 1

For a circular orbit v = sqrt(GM/r). At radius 6r the speed is sqrt(GM/(6r)) = v/√6 ≈ 0.408v.