An Astronaut Is on a 100-M Lifeline Outside a Spaceship,circling

Multiple Choice

An astronaut is on a 100-m lifeline outside a spaceship,circling the ship with an angular speed of 0.100 rad/s.How far inward can she be pulled before the centripetal acceleration reaches 4g = 39.2 m/s²?

A) 50.0 m
B) 70.6 m
C) 72.7 m
D) 89.9 m