For this problem, pretend that you do not know about length contraction butyou do know about time dilation.A spaceship whose length in its own rest frame is La moves at velocity Vrelative to earth. Let L be the length of the spaceship as measured in the earth'srest frame, S.(a) A light pulse emitted at the rear of the spaceship (event E1) arrives at thefront (event E2 ). In the spaceship frame, Sf, the time interval between E1 and E2 ist f - t~ = Lo/ c. Find the time interval between the same two events in frame 5, interms of L, V, and c. (See fig. 2.3a. Note that this time interval is not proper ineither fralne.)(b) The light pulse is reflected and arrives at the rear of the spaceship (event£3)' Find the time interval between £2 and E3 in frame S.(c) Applying a proper time argument to the interval between E1 and E3 , showthat Land Lo are related by the length contraction formula: L = Lo~1- V 2/ c2 . 3.6. For this problem, pretend that you do not know about length contraction butyou do know about time dilation.A spaceship whose length in its own rest frame is Lo moves at velocity Vrelative to earth. Let L be the length of the spaceship as measured in the earth'srest frame, S.The Postutates of Retativity(a) A light pulse emitted at the rear of the spaceship (event E) arrives at thefront (event E,). In the spaceship frame, S', the time interval between E, and E, is'- = L/c. Find the time interval between the same two events in frame S, interms of L, V, and c. (See fig. 2.3a. Note that this time interval is not proper ineither frame.)(b) The light pulse is reflected and arrives at the rear of the spaceship (eventE3). Find the time interval between E, and E, in frame S.(c) Applying a proper time argument to the interval between E, and Eg, showthat L and L are related by the length contraction formula: L = L,Vĩ - V/c.

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Answered: (a) A light pulse emitted at the rear…

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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For this problem, pretend that you do not know about length contraction but
you do know about time dilation.
A spaceship whose length in its own rest frame is La moves at velocity V
relative to earth. Let L be the length of the spaceship as measured in the earth's
rest frame, S.

(a) A light pulse emitted at the rear of the spaceship (event E1) arrives at the
front (event E2 ). In the spaceship frame, Sf, the time interval between E1 and E2 is
t f - t~ = L
o/ c. Find the time interval between the same two events in frame 5, in
terms of L, V, and c. (See fig. 2.3a. Note that this time interval is not proper in
either fralne.)
(b) The light pulse is reflected and arrives at the rear of the spaceship (event
£3)' Find the time interval between £2 and E3 in frame S.
(c) Applying a proper time argument to the interval between E1 and E3 , show
that Land Lo are related by the length contraction formula: L = Lo~1- V 2/ c2 .

3.6. For this problem, pretend that you do not know about length contraction but
you do know about time dilation.
A spaceship whose length in its own rest frame is Lo moves at velocity V
relative to earth. Let L be the length of the spaceship as measured in the earth's
rest frame, S.
The Postutates of Retativity
(a) A light pulse emitted at the rear of the spaceship (event E) arrives at the
front (event E,). In the spaceship frame, S', the time interval between E, and E, is
'- = L/c. Find the time interval between the same two events in frame S, in
terms of L, V, and c. (See fig. 2.3a. Note that this time interval is not proper in
either frame.)
(b) The light pulse is reflected and arrives at the rear of the spaceship (event
E3). Find the time interval between E, and E, in frame S.
(c) Applying a proper time argument to the interval between E, and Eg, show
that L and L are related by the length contraction formula: L = L,Vĩ - V/c.

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