Part A Imagine now that another reference frame is moving toward positive x at v
ID: 1980612 • Letter: P
Question
Part A
Imagine now that another reference frame is moving toward positive x at velocity , which is a significant fraction of the speed of light. What is the world line of the origin of this coordinate system if this origin coincides with that of the primary reference frame at ?
Indicate the letter of the graph in the introductory figure and the color of the line (orange, green, black, or blue) that could be the world line of this particle, separated by a comma. For example, if you select the second graph and the color black you would enter b,black.
Part B
Now find the world line of another point, also moving with velocity in the positive x direction, that has position at , where .
Indicate the letter of the graph in the introductory figure and the color of the line (orange, green, black, or blue) that could be the world line of this particle, separated by a comma. For example, if you select the second graph and the color black you would enter b,black.
Explanation / Answer
1. to=0 is
x = vt
Remember that ct is on the vertical axis so the Minkowski coordinates would be...
ct = (c/v)x
So the answer is Graph D, green line.
2. the equation of this moving particle such that at to=0, xo not= 0 is;
ct = - (c/v)xo + (c/v)x
This has same slope as (1) , but does not go through the origin so you end up with Graph D, blue line