One of the primary goals of the Kepler space telescope is to search for Earth-like planets. Data gathered by the telescope indicates the existence of one such planet named Boralis orbiting a star 135 ly from our solar system. Consider an interstellar spaceship leaving Earth to travel to Boralis. The ship can reach 0.86c almost instantly and can also decelerate almost instantly. The ship is 151 m long in its reference frame. (a) What is the length of the moving ship (in m) as measured by observers on Earth? m (b) How much time (in years) will it take for the spaceship to travel from Earth to Boralis, as measured by an observer on Earth? years (c) How much time (in years) will it take for the spaceship to travel from Earth to Boralis, as measured by astronauts in the spaceship? years

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter1: Relativity I
Section: Chapter Questions
Problem 32P: A yet-to-be-built spacecraft starts from Earth moving at constant speed to the yet-to-be-discovered...
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One of the primary goals of the Kepler space telescope is to search for Earth-like planets. Data gathered by the telescope indicates
the existence of one such planet named Boralis orbiting a star 135 ly from our solar system. Consider an interstellar spaceship
leaving Earth to travel to Boralis. The ship can reach 0.86c almost instantly and can also decelerate almost instantly. The ship is 151
m long in its reference frame.
(a) What is the length of the moving ship (in m) as measured by observers on Earth?
m
(b) How much time (in years) will it take for the spaceship to travel from Earth to Boralis, as measured by an observer on Earth?
years
(c) How much time (in years) will it take for the spaceship to travel from Earth to Boralis, as measured by astronauts in the
spaceship?
years
Transcribed Image Text:One of the primary goals of the Kepler space telescope is to search for Earth-like planets. Data gathered by the telescope indicates the existence of one such planet named Boralis orbiting a star 135 ly from our solar system. Consider an interstellar spaceship leaving Earth to travel to Boralis. The ship can reach 0.86c almost instantly and can also decelerate almost instantly. The ship is 151 m long in its reference frame. (a) What is the length of the moving ship (in m) as measured by observers on Earth? m (b) How much time (in years) will it take for the spaceship to travel from Earth to Boralis, as measured by an observer on Earth? years (c) How much time (in years) will it take for the spaceship to travel from Earth to Boralis, as measured by astronauts in the spaceship? years
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