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

In summary, the question was asked about the speed needed to reach Sirius in 15.5 years in terms of "c". The incorrect answer of 0.4843c and 0.6129c was given, and it was pointed out that these values were measured in different reference frames. The correct way to solve the problem was discussed, but the original question was not answered directly in order to encourage understanding and independent problem solving.
  • #1
ah011
5
1
Thread moved from the technical forums, so no HH Template is shown.
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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  • #2
You assumed the speed is 0.61 c.
In what reference frame would that speed be?
 
  • #3
From the work, 0.61c was the result of dividing 9.5/15.5.
 
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  • #4
But these values are not measured in the same frame.
 
  • #5
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.
 
  • #6
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,
 
  • #7
Why wasn't this answered ?
 
  • #8
Keiran OConnor said:
Why wasn't this answered ?
@Keiran OConnor,
Who is your question directed at ?
 
  • #9
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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Related to How fast must you travel to get to Sirius in 15.5 years?

1. How far away is Sirius from Earth?

Sirius is approximately 8.6 light years away from Earth.

2. How is the speed of light used to calculate the time it takes to reach Sirius?

The speed of light is used as a constant in the equation for calculating distance, time, and speed. It is used to determine how far light can travel in a specific amount of time, which can then be used to calculate the distance to Sirius.

3. What is the speed of light in miles per hour?

The speed of light is approximately 186,282 miles per second, or 671 million miles per hour.

4. Can humans travel at the speed of light to reach Sirius in 15.5 years?

No, currently it is not possible for humans to travel at the speed of light. The fastest spacecraft has only reached speeds of about 40,000 miles per hour, which is still significantly slower than the speed of light.

5. Are there any other factors that could affect the time it takes to travel to Sirius?

Yes, factors such as the trajectory of the spacecraft, gravitational forces from other objects in space, and the need to slow down upon arrival can all affect the overall time it takes to reach Sirius.

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