Astronaut Stumblebum wanders too far away from the space shuttle orbiter while repairing a broken communications satellite. Stumblebum realizes that the orbiter is moving away from him at 3m/s. Stumblebum and his maneuvering units have a mass of 100kg, including a pressurized tank of mass 10kg. The tank includes only 2kg of gas that is used to propel him I n space. The gas escapes with a constant velocity of 100m/s.
(a) Will stumblebum run out of gas before he reaches the orbiter?
(b) With what velocity will Stumblebum have to throw the empty tank away to reach the orbiter?