# soltn2 - Homework 2 Solutions LM L = -;- o+u' l+au'/c' =...

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o +u' L = --------------;- = l+au'/c' 0.90c + 0.70c | + (o.9oc) (0.70c)f cz Homework 2 Solutions = 0.98c LM t-?3 (b) (c) (a) 7-29 (a) [,et event t have coordinates.rt =y1 =a =tl =0 and event 2 have coordinates x2=100 as1, y"= 22= tz =0.kr S' , xi=7@r-vtr)=0, yi =y, =Q, 7i =7, =Q,a1Q | /a\ f ,,2f-v2 ,i = 4,, -l#),, l= o, wtth / Lr - +j ""a * r =[r 1s.7o121-vz 1.40. In system S', x'2 y\$t-atr)=740 m, yi = zi =O, and t r[ t" -( a\'"1- (l 4x{ 70X100 m) {.33 ,,s . ' 'L' \c' ) 'J 3.mxl0' ry's M' x'z- xi =-l4o m Events are not simultaneous in S', event 2 occurs 0.33 /s earlier than event 1. A spaceship, referenct frame S', moves at speed o relative to the Earft, whose reference frame is 5. The space ship then launches a shutde craft with velocity o in the forward direction. The pilot of the shutde craft then fires a probe with velocity a in the forward direction. Use the relativistic compounding of velocities as rvell as its inverse rrarrsfomn tio". ":, = ffifl, and its inverse u, = ffi4.m" uA""u variables are defined as: o is the spaceship's velocity relative to S, z! is the velocity of the shutde craft reLative to S', and r, is the velocity of the shuttle craft relative to S.

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## This note was uploaded on 04/12/2009 for the course PHYSICS 7C taught by Professor Lin during the Fall '08 term at University of California, Berkeley.

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soltn2 - Homework 2 Solutions LM L = -;- o+u' l+au'/c' =...

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