Lorentz Contraction: Rocket Traveling at (3/4)1/2c - Which Length?

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Homework Help Overview

The discussion revolves around the concept of Lorentz contraction in the context of a rocket traveling at a significant fraction of the speed of light, specifically (3/4)1/2c. The original poster is attempting to determine how the length of the rocket appears to an observer compared to its stationary length.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the Lorentz contraction formula but expresses uncertainty in arriving at a definitive answer. Other participants encourage sharing specific attempts and areas of confusion to facilitate guidance.

Discussion Status

Some participants have provided insights into the calculation of the gamma factor, with one suggesting a value of two and an observed length of 1/2 based on an assumed original length of 1. However, there is no explicit consensus on the correctness of this approach, and further exploration of the topic is ongoing.

Contextual Notes

The original poster has not provided complete details on their calculations or reasoning process, which may limit the discussion. There is also a lack of clarity regarding the assumptions made in the problem setup.

TheTourist
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A man sees a rocket traveling towards him at (3/4)1/2c. Compared to its length when stationary, its length appears to be:
a)1/4
b)1/2
c)3/4
d)the same


I'v tried thinking about it with Lorentz Contraction, but can't seem to get an answer.
 
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Hi TheTourist! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 
I think I may have it now...
I used the formula to find gamma factor 1/(1-v^2/C^2)^1/2
and got a gamma factor of two, and assuming that the original length is 1, the observed length is 1/2. (Using Lorentz contraction)
 
TheTourist said:
I think I may have it now...
I used the formula to find gamma factor 1/(1-v^2/C^2)^1/2
and got a gamma factor of two, and assuming that the original length is 1, the observed length is 1/2. (Using Lorentz contraction)

Yup! :biggrin:
 

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