Suppose a spaceship starts from rest from Space Station Alpha floating in deep space and accelerates at a constant rate of (relative to the station) for 1.0 Ms (≈ 12 days), decelerates for the same amount of time to arrive at rest at Space Station Beta (which floats at rest relative to Alpha), and then repeats the same acceleration and deceleration processes in the opposite direction to get back to space station Alpha. (a) Find the spaceship’s top speed. Is it small compared to the speed of light? (b) About how much less time has elapsed on the spaceship compared to clocks on Station Alpha? (Hint: Divide the trip into four pieces, and use the binomial approximation to convert the integral to two simpler integrals for each piece.

Suppose a spaceship starts from rest from Space Station Alpha floating in deep space and accelerates at a constant rate of (relative to the station) for 1.0 Ms (≈ 12 days), decelerates for the same amount of time to arrive at rest at Space Station Beta (which floats at rest relative to Alpha), and then repeats the same acceleration and deceleration processes in the opposite direction to get back to space station Alpha. (a) Find the spaceship’s top speed. Is it small compared to the speed of light? (b) About how much less time has elapsed on the spaceship compared to clocks on Station Alpha? (Hint: Divide the trip into four pieces, and use the binomial approximation to convert the integral to two simpler integrals for each piece.

Name: Suppose a spaceship starts from rest from Space Station Alpha floating
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Description: Suppose a spaceship starts from rest from Space Station Alpha floating in deep space and accelerates at a constant rate of (relative to the station) for 1.0 Ms (≈ 12 days), decelerates for the same amount of time to arrive at rest at Space Station Be

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 1P

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