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Online Homework 10 Solutions

# Online Homework 10 Solutions - Comet The orbit of many...

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Unformatted text preview: Comet The orbit of many comats is an ellipse, the Sun being at one fucus. Consider a comet with an elliptic orbit whose maximum distance to 1113 Sun (aphcliun distance) is r... = E x 1U"; km. The minimum distanca [perihelion distance} is n: = E 1: ll]? km. Find the speed of the unmet at the perihelinn posiﬁun. — —— — - «a P “'F ‘ . REF____ _ _ _______. -—- “I? Cmuélﬁh “ii m‘ﬂfmﬁm ale-w? ﬂaw! mpm Tim. LWT v60}? : ‘Aﬁrn (m 0% DEW-m“. an; mawa Wm (WM ' 1v Mam l' 1"_ G .531.in # e G - aw m 7. 'L l _l_ gym : 1%Mg(7:?j — a) i“ G) ﬂ= 73:5? 1 Y1 26M arr? "' gag—z, : 5 ‘Glrf’ Z (L rink-f? r4: 6% = 1% m r? VALVE,“ 10 Escape Consider a small astemid efradiue BID-1 km whose gravitatienal acceleration at the surface is it") mfg. A small reek ie throw from the surface with a radial speed of 3H4 rate. a. How far from the surfaee does the melt go? 11. 1|Ir‘t’hat initial radial speed would the reel: need to have te escape the asteroid? 'L.___ M _ _ it) Til—girls (3 R - C) 6pm] _ (5,11 3“ e ’L {a Era E “5:” 33 ii We '2 [2. L33 a 13-h “11’ 5’) "2'3 B '1 _.[ = anew-"SK : talcm 23¢ Ka’PJG-l-UDOW Planet X Your starshlp lands on mysten'ous planet X. As chief scienﬁstengineer, you make the following measurements: a stone of mass 3M] kg thrown upward from the giound st ltltl rru's returns to the ground in SJJIJ s; the circumference of the planet 31 the equator is lull} x ltl5 km; and there is no appreciable atmosphere. :1. WI is the mess of the planet? it. If the stership goes into a circular orbit 2mm km shove the surface or the planet, l‘lﬂw more}.r hours will it take the ship to complete one orbit? "s P Two charges and spring Twe charges Q... = 2 WC and (2;; = -3 in: are placed on the :r—axie with at x. = t} and x5 = 22 em. [a] Find lhe fume en Q}, due to Q” . (it) Find the force en 9;, due to Q, . The charges Q" and Q; are new attached to the ends era spring wheee unetretehetl length is an = 22 em. With the charges attached, the spring compresses to an equilibrium length 3] = 12 cm. ,___,_5.1_. . . - . aiii???"1"1*1'l7‘?"l‘i*‘fia . . . . . . . . . . . . . 9a 0e l——! L"*1 {e} Calculate the spring constant Fe of the spring. (em a 1-1, (De 4—): (w) *H” > - «a; c: “Xe : 11W . fﬂgiiﬁl.‘ .--— -'-—| .-. [ it}; 1Tb! he (“Kb-“taf— 4 \{ﬁ _L 1“ l l0 Cn- 'ID : qwlbﬁ E12 : If”: C :- C ( Chum}; rB‘l—rlf—tt'e'u . ,5 :‘H.’ FL}; (lg) gﬁqeﬂn. -———e Three Charges lﬁll%l Ilia-l Ill-II Three changes are ﬁxeld in plaee as shown. The squares in the grid have sides of Iength s = {1.24 m. The magnitude arc; is 3 MI, while the magnitude el‘ Q is 4-5 eff. What is the magnitude of the net three on q? _—x. _ J— 4 (Fay: ﬂ at. 7:: q £2 5&6? I A (we 5 h F); 2 ER IF F44 Q r r' 1 ED zﬂ-L—l‘h Fr- Sl {EL} 1' Ji— __ __-u.-'I__ " Tt—‘L 7;: l L I) — El 2 ET 1’“ jF-t-‘T L ﬁﬁquu O + 8 ST. :%FL%§: mam __ 1 —t a}: 2x10 {1 _ Q ’ (ffxlD—EC‘ ED. 9‘9‘-H M Three charges in a line Two charges IQIr and {2; [Qr = 5 ME} are ﬁxed en the x—axie at x = -6 cm and _r = E cm, respectively. A third charge Q}, = 1 11C is ﬁxed at the c-rigin. A particte with charge q = 0.4 pf. and mass m = ti 3 is placed on the y-aais aty = 14 cm and released. There is he gravity. {:1} Calculate the initial acceleration of the particle. (11} What was the magnitude ef' the net electric force on e at its paint of release? E; : 2"“; {115.3% d1 i211?) u re 6 = 653‘: Ci Mayhem) :. 16.1 am -e i ‘i' M1541 ( EMU’chhKO trait) ()3 EL; QGZMO —— ‘toilmmjl rm ( CL'H— N171 = c3.ng M at - ﬂat—:12 Maw a q m 1 _——F EMU—EMU 5(ID'ZST, 1— 950.6?j)mf~1. {Em = [mi : 135m ...
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