3 3 1 1 2 v2 v2 2 va vi i b 2 jackson 111 d v2

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: hagoras's theorem 2 2 t t c = d2 + v 2 2 1 2d t = (15) 2 /c2 c 1-v 3 d' v t1 (b) v t2 ct1 t1 Similarly, = = d + vt1 d c-v (16) d ct2 = d - vt2 t2 = v+c Using (16) and (17) we get tb = t1 + t2 = d (17) 1 1 2d 1 + = c-v c+v c 1 - v 2 /c2 (18) Suppose that the observer can "hear" the ticks but does not know the clock's orientation. Demand that the clock is not "pathological": ta = tb where a and b refer to the time between clicks when the clock is stationary, and moving respectively. Hence, (19) d = 1 - v 2 /c2 d 3 Carts on carts... Using the 1d velocity addition formula, vi+1 = vi + u ; c1 1 + vi u (20) Define i by vi = tanhi and by v = tanh. Then, tanh (i+1 ) = = tanh i + tanh 1 + tanh i tanh tanh (i + ) 4 (21) This implies i+1 = i + , v0 = 0 0 = 0. Thus n = n. Hence, vn = = = = tanh(n) tanh ntanh-1 (v) n...
View Full Document

This note was uploaded on 04/26/2013 for the course PHYS 6561 taught by Professor Csaki, c during the Fall '09 term at Cornell.

Ask a homework question - tutors are online