hw3 - 28 cHAprER 2. RELATIvIsrrc MEcHANrcs 2.47 o o l newl...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
28 cHAprER 2. RELATIvIsrrc MEcHANrcs 2.47 oo lnewl (a) The radius of the satellite's orbit is .R : h+R.:2.6bgxl0? m. The orbital speed is determined by the condition mu!/R-- GMrnf R2, whence o, : ./dMn: E = gS,?0 -/;1. (b) The error in calculating r as uo At is dr : lu" - clAt x a"hf c: 1160 ;-l 2.48 or [new] (a) As in Problem 2.47, u" :3870 m/s. Hence 7 : lt - (as /c)21-L/2 x 1 + !(u"/c)2. The time for one orbit (measured on earth) is e = 2rr/u": 43200 s. Since e, : 7[, the dference between these is about (error in time) : 2i 3.59 x 10-6 s -7" x (.t - r)r. - ;\;) ,": 2.49 rr [new] (a) As in Problem 2.48, the time for one orbit is T:43200 s. The ftactional shift in frequency is Lf .fsdh l(GM/r2)dh GM / t t\ T:--7_=----_7-=-7-\&-El where .R : 2.658 x 107 m, as in Problem 2.47. Putting in the numbers, Af /f :5.27 x l0-ro. Thereforetheerrorinthetimefromignoringthisshiftis(A'l/flr (b) Error in position : c x (error in time) : l?8rffi]. 2.50 oo [new] (b) Error in position : c x (error in time) : llO8ffil ,h= Y
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
8.29 ooo [new] (a) Under the suggested "radical assumption," with all molecules having the same lu,l and h;11 of iirem moving eu.ct *ay, the number density of molecules moving to the right is ,rn,. in a time At, these molecules move a distance u,At to the right. Therefore the molecules that hit the right wall are precisely those right-moving molecules in the volume to the right of the dashed
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/10/2010 for the course PHSY 70 taught by Professor -1 during the Fall '10 term at Stanford.

Page1 / 3

hw3 - 28 cHAprER 2. RELATIvIsrrc MEcHANrcs 2.47 o o l newl...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online