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Special Relativity - Lorentz Transformation watch

1. This may seem like a really silly question but do I just need to put the co-ordinates in to the equation given in the question for the first part?

If someone could provide an insight thanks.

question attached its the first part.
2. Anyone?
3. (Original post by mathslover786)
This may seem like a really silly question but do I just need to put the co-ordinates in to the equation given in the question for the first part?

If someone could provide an insight thanks.

question attached its the first part.
1. If , and is half the speed of light, then what is ?

2. Hence calculate the value of

3. Find the numeric values to put in the matrix.

4. Do the matrix multiplys to find the coords of the two different events in the moving frame.

5. Look at the two values of
4. I got v to be 0.5 and to be 1.15? Is that bit correct?
(Original post by atsruser)
1. If , and is half the speed of light, then what is ?

2. Hence calculate the value of

3. Find the numeric values to put in the matrix.

4. Do the matrix multiplys to find the coords of the two different events in the moving frame.

5. Look at the two values of
5. (Original post by mathslover786)
I got v to be 0.5 and to be 1.15? Is that bit correct?
. Always use exact values if possible.
6. (Original post by atsruser)
. Always use exact values if possible.
Then I put these value in to the matrix for each co-ordinate?
7. (Original post by atsruser)
. Always use exact values if possible.
8. (Original post by mathslover786)
Yes. Just post your results here.
9. I have attached my answers for the first and second event. The moving observer will think they are happening at the same place due to the same space component.
Attached Images

11. (Original post by atsruser)
Yes. Just post your results here.
Posted them above sorry.
12. (Original post by mathslover786)
I have attached my answers for the first and second event. The moving observer will think they are happening at the same place due to the same space component.
Your answers appear to be correct, but I think that you've swapped the x and t coords somewhere.
13. (Original post by atsruser)
Your answers appear to be correct, but I think that you've swapped the x and t coords somewhere.
Are the co-ordinates (x,t) or (t,x) I think I used (x,t)
14. (Original post by mathslover786)
Are the co-ordinates (x,t) or (t,x) I think I used (x,t)
They are . Note that we write as a row vector, and this corresponds to as a column vector. So corresponds to .
15. (Original post by atsruser)
They are . Note that we write as a row vector, and this corresponds to as a column vector. So corresponds to .
Oops yeah I clicked on now. So I did get correct answers just wrong way round makes sense now.

How would I tackle parts ii) and iii) in this question?
Attached Images

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