- #1
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draw a minkowski space-time diagram for s and s' showing x- and ctaxis as well ass the x'- and ct'-axis. the x-axis and ct axis will span from 0-5m. everwhere x'-axis ct'=0 and likewise for ct'-axis x'=0. [(v=0.6c)(t=t'=0, x=x'=0)]
so any way I start out with drawing ct and x. like a normal x&y diagram.
Then i have the formulas x'=gamma(x-vt)
t'=gamma(t-(vx/c^2))
gamma= yeah you know. =)
oki so i can get ct' by using the formula tan(theta) = c/v
then i can get x' by taking 45(angle for c)-[(tan^-1(c/v))-45(angle for c)]
.
okey i done that. now i have to calibrate the x'- and ct'-axis by using the relations x^2 - (ct)^2 = 1..
now how do I do that? and did I do it correctly in the first part?
so any way I start out with drawing ct and x. like a normal x&y diagram.
Then i have the formulas x'=gamma(x-vt)
t'=gamma(t-(vx/c^2))
gamma= yeah you know. =)
oki so i can get ct' by using the formula tan(theta) = c/v
then i can get x' by taking 45(angle for c)-[(tan^-1(c/v))-45(angle for c)]
.
okey i done that. now i have to calibrate the x'- and ct'-axis by using the relations x^2 - (ct)^2 = 1..
now how do I do that? and did I do it correctly in the first part?