- #1
philcsar
- 1
- 0
hi. i am getting really confused about which should be the primed and unprimed values. id just like to check if what i did was right. thank you. :D
Problem:
A meterstick is glued to the wall with its 100cm end farther to the right in the positive direction. It has a clock at its center and one on each end. You walk by the meterstick in the possitive direction at speed .
(a) when you each the center clock, it reads 0. what do the other two read at this instant in your frame.
(b) you instantly reverse direction. The clock at the center is still reading 0 and so is yours. what do the others read?
(c) How does this relate to the twin paradox?
My solution:
(a) since the person is walking with velocity v, he composes the frame S'
since the meterstick is stationary, it composes the frame S
using Lorentz Transfromation:
t' = γ(-xv/c^2 +t)
x => x/2 since you reached the center clock
t = 0 since the reading is zero
thus, t' = -0.5γxv/c^2 (left clock) and it will be +0.5γxv/c^2 (right clock)
(b) right clock will be -0.5γxv/c^2 and left clock will be +0.5γxv/c^2 (by symmetry)
(c) i don't know
Problem:
A meterstick is glued to the wall with its 100cm end farther to the right in the positive direction. It has a clock at its center and one on each end. You walk by the meterstick in the possitive direction at speed .
(a) when you each the center clock, it reads 0. what do the other two read at this instant in your frame.
(b) you instantly reverse direction. The clock at the center is still reading 0 and so is yours. what do the others read?
(c) How does this relate to the twin paradox?
My solution:
(a) since the person is walking with velocity v, he composes the frame S'
since the meterstick is stationary, it composes the frame S
using Lorentz Transfromation:
t' = γ(-xv/c^2 +t)
x => x/2 since you reached the center clock
t = 0 since the reading is zero
thus, t' = -0.5γxv/c^2 (left clock) and it will be +0.5γxv/c^2 (right clock)
(b) right clock will be -0.5γxv/c^2 and left clock will be +0.5γxv/c^2 (by symmetry)
(c) i don't know