How fast must you travel to get to Sirius in 15.5 years?

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SUMMARY

To travel to Sirius, located approximately 9.50 light-years from Earth, within a spaceship time frame of 15.5 years, the required speed is approximately 0.61c, where "c" represents the speed of light. However, this calculation must consider the effects of relativistic physics, specifically Lorentz transformations, as the distances and timeframes are measured in different reference frames. The discussion emphasizes the importance of understanding reference frames and the need for guidance rather than direct answers in educational contexts.

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  • Familiarity with light-years (ly) and years (y) as units of measurement
  • Basic knowledge of reference frames in physics
  • Ability to perform calculations involving relativistic speeds
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  • Study the implications of traveling at relativistic speeds on time and distance
  • Explore the concept of time dilation and its effects on space travel
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Students of physics, educators in relativity, and anyone interested in the calculations and implications of interstellar travel.

ah011
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Question:

Sirius is about 9.50 ly from Earth. To reach the star by spaceship in 15.5 y (ship time), how fast must you travel? Answer in terms of "c".

0.4843c and 0.6129c are incorrect

Relevant Equations and Constants:

upload_2016-4-13_10-46-10.png


Attempt at solution:

media%2F4ef%2F4efcbf11-75a5-4d4c-9a78-0ba2e3597fc0%2FphpSgFBWO.png


Can anyone help out I really don't know what else to do with this problem.
 
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You assumed the speed is 0.61 c.
In what reference frame would that speed be?
 
From the work, 0.61c was the result of dividing 9.5/15.5.
 
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But these values are not measured in the same frame.
 
If you are referring to unit of measurement, then I honestly don't know how ly and y should be changed. I thought that this was correct way to solve it.
 
Nothing to do with units. Did you learn about reference frames? The meaning of Lorentz transformations?
I suppose you should have posted this in the homework section, anyway,
 
Why wasn't this answered ?
 
Keiran OConnor said:
Why wasn't this answered ?
@Keiran OConnor,
Who is your question directed at ?
 
Nasu he seemed to know the answer or at least the formula but wouldn't tell him ?
 
  • #11
Keiran OConnor said:
Nasu he seemed to know the answer or at least the formula but wouldn't tell him ?
nasu is attempting to guide ah011 to a solution .
 
  • #12
So on one hand (the rules) conform.
The other hand possibly (assuming) a young enthusiastic student not getting a answer because of bureaucratic procedures.

You made it clear that he was posting in the wrong part of the forum, ok that's fine. Are we just ignoring the question/person now ?
 
  • #13
Keiran OConnor said:
You made it clear that he was posting in the wrong part of the forum, ok that's fine. Are we just ignoring the question/person now ?
Ultimately, simply giving answers rather than guiding the student toward understanding and being able to answer the question (and other similar questions) themself will not benefit the student.

It is now up to the OP (ah011) to engage with the offered guidance in a productive way. If you have further suggested hints or guidance (not direct answers) to offer the OP then you are welcome to join in.
 
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