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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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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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