An Astronaut Goes Out for a "Space-Walk" at a Distance $g / \sqrt { 2 }$

Multiple Choice

An astronaut goes out for a "space-walk" at a distance above the earth equal to the radius of the earth. What is her acceleration due to gravity at that point?

A) g
B) g/4
C) g/2
D) zero
E) $g / \sqrt { 2 }$