Description Symbol Value Comment Explicit data Elapsed time on earth Δι See problem This is the dilated time interval for the journey. text. Elapsed time on board the Διο See ship problem This is the proper time interval for the journey, as text. it is measured by the ship. Unknown variable Distance from earth to d ? the planet The speed of the spacecraft is not given, but can be eliminated after writing (1) an expression for the distance d in terms of the speed and the elapsed time Ar on earth and (2) an expression relating the proper and dilated time intervals to the speed v of the ship and the speed cof light in vacuum.
Description Symbol Value Comment Explicit data Elapsed time on earth Δι See problem This is the dilated time interval for the journey. text. Elapsed time on board the Διο See ship problem This is the proper time interval for the journey, as text. it is measured by the ship. Unknown variable Distance from earth to d ? the planet The speed of the spacecraft is not given, but can be eliminated after writing (1) an expression for the distance d in terms of the speed and the elapsed time Ar on earth and (2) an expression relating the proper and dilated time intervals to the speed v of the ship and the speed cof light in vacuum.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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Question
A spaceship travels at a constant speed from earth to a planet orbiting another star. When the spacecraft arrives, 13 years have elapsed on earth, and 7.6 years have elapsed on board the ship. How far away (in meters) is the planet, according to observers on earth? The attached table will set up the unknowns.
Transcribed Image Text:Description
Symbol Value
Comment
Explicit data
Elapsed time on earth
Δι
See
problem
This is the dilated time
interval for the journey.
text.
Elapsed time on board the
Διο
See
ship
problem
This is the proper time
interval for the journey, as
text.
it is measured by the ship.
Unknown variable
Distance from earth to
d
?
the planet
The speed of the
spacecraft is not given,
but can be eliminated
after writing (1) an
expression for the
distance d in terms of the
speed and the elapsed
time Ar on earth and (2)
an expression relating the
proper and dilated time
intervals to the speed v of
the ship and the speed cof
light in vacuum.
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