How Long Does It Take for a Speeding Train to Pass a Stationary Observer?

In summary, a train with length 15cs and speed 3c/5 takes 3 x 10^8 m to pass a person standing on the ground. This can be solved by considering the perspective of the person and the train. The Lorentz transformations and concepts of time dilation and length contraction can be used to understand this scenario.
  • #1
Tonyt88
62
0
A train of length 15cs moves at speed 3c/5. How much time does it take to a pass a person standing on the ground? [That is, what time elapses on the person's watch between the time when he is next to the front of the train, and the time when he is next to the back of the train?] Solve this by working in the frame of the person, and then again by working in the frame of the train.
 
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  • #2
Do you know the lorentz transformations? Time dilation and length contraction? I'm not familar with the unit cs (usually would mean a centisecond) in this context.
 
  • #3
Oh, sorry.

1 cs equals (3 x 10^8 m/s)(1s) = 3 x 10^8 m

Also, I know a little bit about time dilation, though I didn't really understand my professor's lecture very well.
 

Related to How Long Does It Take for a Speeding Train to Pass a Stationary Observer?

1. What is meant by "solving in multiple frames?"

"Solving in multiple frames" refers to a problem-solving approach where the same problem is viewed from different perspectives or frames of reference. This allows for a more comprehensive understanding of the problem and can lead to more effective solutions.

2. Why is solving in multiple frames important in science?

Solving in multiple frames is important in science because it allows for a more thorough analysis of a problem or phenomenon. By considering different frames or viewpoints, scientists can gain a more complete understanding of the underlying mechanisms and factors at play.

3. What are some common frames used in science to solve problems?

Some common frames used in science to solve problems include mathematical, physical, biological, and social frames. These frames can help scientists approach problems from different angles and consider different variables and factors.

4. How does solving in multiple frames contribute to scientific advancements?

Solving in multiple frames can contribute to scientific advancements by providing a holistic understanding of complex problems. By considering multiple frames, scientists can make connections and identify patterns that may not be apparent when only using one frame. This can lead to new hypotheses and discoveries, ultimately driving scientific progress.

5. What challenges may arise when solving in multiple frames?

One challenge that may arise when solving in multiple frames is the potential for conflicting or contradictory results. Different frames may lead to different interpretations or conclusions, which can make it difficult to determine the most accurate solution. Additionally, considering multiple frames may require more time and resources, making it a more complex and time-consuming approach.

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