The starship Enterprise is passing the planet Vondor when it is discovered that a Klingon spy has planted a bomb on board the ship. Mr. Spock has determined that the bomb will explode in one day (in the ship's frame). It can be defused only by the galaxy's leading bomb expert, who is at Star Base 23. Star Base 23 is at rest relative to Vondor, and a distance of seven light days away from Vondor. (A light day is the distance traveled by light in one day.) Captain Kirk orders the ship to head towards Star Base 23 at maximum speed. Scotty is repairing the warp drive engines, so only the impulse engines (maximum speed 0.99c) are working. The ship already is moving towards Star Base 23 at a speed of 0.99c, so it just continues with that constant velocity. Will the Enterprise make it to Star Base 23 before the bomb explodes? (a) Show why or why not as explained in the ship's frame. (b) Show why or why not the ship will make it as explained in the reference frame of Star Base 23.

The starship Enterprise is passing the planet Vondor when it is discovered that a Klingon spy has planted a bomb on board the ship. Mr. Spock has determined that the bomb will explode in one day (in the ship's frame). It can be defused only by the galaxy's leading bomb expert, who is at Star Base 23. Star Base 23 is at rest relative to Vondor, and a distance of seven light days away from Vondor. (A light day is the distance traveled by light in one day.) Captain Kirk orders the ship to head towards Star Base 23 at maximum speed. Scotty is repairing the warp drive engines, so only the impulse engines (maximum speed 0.99c) are working. The ship already is moving towards Star Base 23 at a speed of 0.99c, so it just continues with that constant velocity. Will the Enterprise make it to Star Base 23 before the bomb explodes? (a) Show why or why not as explained in the ship's frame. (b) Show why or why not the ship will make it as explained in the reference frame of Star Base 23.