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Transcribed Image Text:A futuristic rocket ship of mass m,hip = 6.0 × 10° kg is sent into space carrying one
person with the goal of traveling to nearby stars. The ship uses a newly discovered
matter-antimatter drive that converts matter into energy at 100% efficiency. We
will take Earth as the rest frame.
For part
where it is using its drive to convert matter into the kinetic energy of the ship.
(d) you are interested in the portion of the spaceship's travel
(d) When at the final speed of 0.95c, by what factor is the ship's momentum
greater than its classical momentum at that same speed.
For parts (e) and () you are interested in the portion of the spaceship's travel once it
has reached a constant speed of v, = 0.95c.
(e) If eight years pass for the person inside the ship, then how much distance in
the rest frame does the ship cover? How much distance does the person
inside the ship measure?
(f) How many years would pass for the person on the ship by the time that the
ship covered 100 light years in the rest frame? How much distance does
person inside the ship measure in this time?
(g) If once the ship was 100 light years from Earth as measured in the rest frame,
and then launched a very small rocket with a speed of v' = .56c relative to
the ship, then what distance would that small rocket travel as measured by
the person in the ship by the time a signal sent back to Earth arrived?
Assume the signal was sent by the ship at the moment that the small rocket
was launched.
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