5. An observer on Earth observes Planet X to be 24 light-years away and stationary. An observer An a spaceship passing Earth on its way to Planet X observes Planet X to be 19.2 light-years away. According to the observer in the spaceship, how much time passes between Earth passing by and Planet X passing by? a) 18 years b) 22 years c) 24 years d) 28 years e) 32 years

Applications and Investigations in Earth Science (9th Edition)
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ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
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### Physics Problem on Relativity

**Problem Statement:**
An observer on Earth observes Planet X to be 24 light-years away and stationary. An observer in a spaceship passing Earth on its way to Planet X observes Planet X to be 19.2 light-years away. According to the observer in the spaceship, how much time passes between Earth passing by and Planet X passing by?

**Options:**
a) 18 years  
b) 22 years  
c) 24 years  
d) 28 years  
e) 32 years  

**Correct Answer:**  
e) 32 years

This problem involves the concept of length contraction from special relativity, where distances appear shorter to an observer moving relative to the objects being measured. The observer in the spaceship measures the distance to Planet X as less than the stationary observer on Earth. The task is to calculate the time experienced by the moving observer between two events: passing Earth and passing Planet X.
Transcribed Image Text:### Physics Problem on Relativity **Problem Statement:** An observer on Earth observes Planet X to be 24 light-years away and stationary. An observer in a spaceship passing Earth on its way to Planet X observes Planet X to be 19.2 light-years away. According to the observer in the spaceship, how much time passes between Earth passing by and Planet X passing by? **Options:** a) 18 years b) 22 years c) 24 years d) 28 years e) 32 years **Correct Answer:** e) 32 years This problem involves the concept of length contraction from special relativity, where distances appear shorter to an observer moving relative to the objects being measured. The observer in the spaceship measures the distance to Planet X as less than the stationary observer on Earth. The task is to calculate the time experienced by the moving observer between two events: passing Earth and passing Planet X.
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