Travel to the stars requires hundreds or thousands of years, even at the speed of light. Some people have suggested that we can get around this difficulty by accelerating the rocket (and its astronauts) to very high speeds so that they will age less due to time dilation. The fly in this ointment is that it takes a great deal of energy to do this. Suppose you want to go to the immense red giant Betelgeuse, which is about 500 light-years away. You plan to travel at constant speed in a 1000 kg rocket ship (a little over a ton), which, in reality, is far too small for this purpose.

University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
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Chapter5: Relativity
Section: Chapter Questions
Problem 5.3CYU: Check Your Understanding a. A particle travels at 1.90108m/sand lives 2.10108swhen at rest relative...
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Travel to the stars requires hundreds or thousands
light. Some people have suggested that we can get around this difficulty by
accelerating the rocket (and its astronauts) to very high speeds so that they will age
less due to time dilation. The fly in this ointment is that it takes a great deal of
energy to do this. Suppose you want to go to the immense red giant Betelgeuse,
which is about 500 light-years avway. You plan to travel at constant speed in a
1000 kg rocket ship (a little over a ton), which, in reality, is far too small for this
years, even at the speed of
Part H
If the rocket ship's speed is 0.990c, calculate energy needed as a percent of U.S. yearly use (which is 1.0 x 1020 J).
Express your answer as a percentage.
purpose
VO AEO
E =
% of the U.S. yearly use of energy
Submit
Request Answer
Part I
If the rocket ship's speed is 0.9999c, calculate the time for the trip, as measured by people on earth.
Express your answer in years.
?
tEarth =
yr
Submit
Request Answer
Part J
If the rocket ship's speed is 0.9999c, calculate the time for the trip, as measured by astronauts in the rocket ship.
Express your answer
years.
νη ΑΣΦ
?
tRocket =
yr
Submit
Request Answer
Transcribed Image Text:Travel to the stars requires hundreds or thousands light. Some people have suggested that we can get around this difficulty by accelerating the rocket (and its astronauts) to very high speeds so that they will age less due to time dilation. The fly in this ointment is that it takes a great deal of energy to do this. Suppose you want to go to the immense red giant Betelgeuse, which is about 500 light-years avway. You plan to travel at constant speed in a 1000 kg rocket ship (a little over a ton), which, in reality, is far too small for this years, even at the speed of Part H If the rocket ship's speed is 0.990c, calculate energy needed as a percent of U.S. yearly use (which is 1.0 x 1020 J). Express your answer as a percentage. purpose VO AEO E = % of the U.S. yearly use of energy Submit Request Answer Part I If the rocket ship's speed is 0.9999c, calculate the time for the trip, as measured by people on earth. Express your answer in years. ? tEarth = yr Submit Request Answer Part J If the rocket ship's speed is 0.9999c, calculate the time for the trip, as measured by astronauts in the rocket ship. Express your answer years. νη ΑΣΦ ? tRocket = yr Submit Request Answer
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