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(A) At rest, a spaceship has length Lo. In motion at speed v, its length is measured by external observers (at rest) to be L. What is the speed v in terms of the speed of light? (B) In the kitchen of the spaceship the chef sets the oven timer for 2 hours to bake a cake. How much time will the cake spend in the oven, as measured by the external observers ?

(A) At rest, a spaceship has length Lo. In motion at speed v, its length is measured by external observers (at rest) to be L. What is the speed v in terms of the speed of light? (B) In the kitchen of the spaceship the chef sets the oven timer for 2 hours to bake a cake. How much time will the cake spend in the oven, as measured by the external observers ?

College Physics
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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### Relativity and Observations from Different Frames of Reference #### (A) Length Contraction At rest, a spaceship has length \( L_0 \). When the spaceship is in motion at speed \( v \), its length is measured by external observers (at rest) to be \( L \). The question posed is: What is the speed \( v \) in terms of the speed of light? - **Given Values**: - Rest length (\( L_0 \)) = 1600 m - Contracted length (\( L \)) = 1250 m #### (B) Time Dilation In the kitchen of the spaceship, the chef sets the oven timer for 2 hours to bake a cake. The question asks: How much time will the cake spend in the oven, as measured by the external observers? This problem involves understanding how time dilation affects the perception of time from different inertial frames due to relativistic speeds. --- These concepts are foundational in the study of special relativity, illustrating how measurements of space and time change based on the observer's relative motion.
Transcribed Image Text:### Relativity and Observations from Different Frames of Reference #### (A) Length Contraction At rest, a spaceship has length \( L_0 \). When the spaceship is in motion at speed \( v \), its length is measured by external observers (at rest) to be \( L \). The question posed is: What is the speed \( v \) in terms of the speed of light? - **Given Values**: - Rest length (\( L_0 \)) = 1600 m - Contracted length (\( L \)) = 1250 m #### (B) Time Dilation In the kitchen of the spaceship, the chef sets the oven timer for 2 hours to bake a cake. The question asks: How much time will the cake spend in the oven, as measured by the external observers? This problem involves understanding how time dilation affects the perception of time from different inertial frames due to relativistic speeds. --- These concepts are foundational in the study of special relativity, illustrating how measurements of space and time change based on the observer's relative motion.
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L subscript o equals 1600 space m L equals 1250 space m


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