You and your team get a distress call from another shipindicating that there has been an explosion and their propulsionand navigation systems are now off line. A large piece of theirship has been jettisoned into space, and their life support systemsare failing. They need help as soon as possible. You try to trackthem, but are only able to pick up the piece of the craft that hadbeen projected away from them in the explosion. You look up themake and model of their ship, a Galaxy Explorer 5000 (GE 5000),which has a total mass of 52000 kg. The piece heading in yourdirection is the ship’s storage module, and has a mass of 9000kg.
The GE 5000 was at rest with respect to your ship at the time ofthe explosion.
(a) Assuming you received the distress call 20minutes before the jettisoned storage module passed by your ship ata speed of 630 m/s, what is the speed of the damaged craft?
(b) How far away is the Galaxy Explorer 5000 whenits storage module passes by?
(c) In which direction, and how fast must you go,in order to catch up with the GE 5000 before its life supportsystems fail. (The crew had 80 minutes of life support left whenthey made the distress call, so you have 60 minutes to get tothem.)
