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

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To reach Sirius, located 9.50 light-years from Earth, in 15.5 years of ship time, the required speed must be calculated using the principles of special relativity. Previous attempts to solve the problem using speeds of 0.4843c and 0.6129c were deemed incorrect due to misalignment of reference frames and units. The discussion emphasizes the importance of understanding Lorentz transformations and proper reference frames in such calculations. Participants express frustration over the lack of direct answers and the need for guidance rather than simply providing solutions. Ultimately, the focus is on helping the original poster engage with the material to foster deeper understanding.
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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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