111-20051-MT1 - QJ A car traveling on a long straight...

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Unformatted text preview: QJ. A car traveling on a long straight highway, at a constant speed of 144 kmr‘h pasoes a police motorcycle which moves at 72 km'h but immediately accelerates at a constant rate of 2.0 ml'sZ to catch the speeding car. @ a) How long will it take the police motorcycle to catch the speeding car? Moon #4090 1r = .—.- 2.0 'V" ._.._—-- o c. 3cm ”’3' ‘ ' no» "" 4 ”/1 a -—-C a ——* f 1} 3 w; f e 40 f x, u 126% 4 flung, 3921...? 2 {3- 15-3,. -—-p 2079-4; -—b 1‘: 20: ‘ 2'95 I G) b) How far will the police motorcycle have traveled during this time? x, - 1‘ mm m) = mm ‘ .700 m I G“) c] llow Fast will the police motorcycle be traveling when it reaches the speeding car‘? Give it in kmr'h muL 5;-w'éfl-pcn‘ = 10 +z:(20) :- llt’lrhr-rt/r (a x 36w 4r} ,. 9-:- 2!‘ inn/h {060 (E) d] “final is the relative speed of the car as seen by the police at the time t = 5.0 s afier the car passes the motorcycle? w},1;fl+d1" '20-!»fo ugom/‘a fif; = 40 ”4/: “v- -'1.r-...nr’ -49-;a1/am/J g " C Q.2. A stone is attached to the end of a LOO-m string and whirled in clockwise direction, in a vertical circular path. The string breaks when the stone moves at a speed of 10.0 mls at point A. as shown in the figure.The center of the circle is 3.40 rn from the ground. 6 a) What is the centripetal (radial) acceleration of the stone just before the string is broken? 'J. ~.-..-l.00at\0 Inn/5‘- qr:l.co+to.~] 5 b) How long will it take the stone to hit the ground? U1 n \5 *1 . if ' \lH =to.o 6—0593“ = ROOM/r ,1 ‘6'”: ’"ww'w’ / m2, ‘ SMZT‘ ‘.’ ;“-"--—>n. Uea —. mower = “W; , q‘;o‘w. H = + \10 + _...l_ +1.. :CuOO g 3‘ _ a 1% *3 C = than 4. Eco-l _ '5 oath-L ' = 2.1.0th '5 c} How high will it rise from the ground? lA Bul- kw U520 WKT Q.o<)+.i_(~L-°§:l [0.0 :- 1.Q_G m ”hit“: if?" tr%.+“°a(%ll-H(‘-?)i=t%“~§e S d} What is the horizontal distance covered by the stone (range)? Q: out—g = 6.00 as Leo 1-”: \Q.U w- QTll‘qu QJ. In the system of the figure, the blocks have masses M.= [.5 kg and M3: 4.0 kg. There is no friction anywhere. 3) Draw f‘ree body diagram for each block and show all the forces. E. F“. \ ' -. PM 1. F“ M. % My} ((79 b) Write down Newton‘s Second Law of' motion for each block. Fl” 7: Mto‘l Marga e. .. Fix: Mint Z’L.=. 2351.1, $0- } FTt'=F-‘- F‘;M‘C“ a _ — M, owe—at? 9.341.. F1;7_t-Tl:;zi-T ‘3 T 'L Lil-1s“ aot‘i - 1E: - 2.60 ‘1 t c) Calculate the tension in the string connected to the block with mass M.. '1E.:3‘Grk BFT'L‘L‘E -Lt8+3FT=--3.m FT:.L§.=C1.E.N ( ijd} Calculate the tension in the string connected to the block with mass M). F T’L :ZF‘. FT1=LKR.L:\CL'LN G‘) e) Calculate the acceleration ofthe block with mass M.. E;=l.50l. ‘1.t==l.5.;t. (.Lzé‘q gm!) (\‘:0\. =6.L\ M115“ @ h Calculate the acceleration ot‘tlte block with mass M;. Qt CL {'11} .- '1... CK =-.__=‘— C‘K = ' =3.)_~“/ 2- 'L " a. ‘ Eta-WLM QA. Block A with mass MA= LS kg, rests on block B. with mass M3= 2.5 kg, which in turn is on a horizontal tabletop as shown in the figure.The coefficient of static friction between block A and block B is us: 0.20 and the coefficient of kinetic fi'iction between block B and the tabletop is 114;. A light string attached to block B. passes over a frictionless, massless pulley and block C with mass ML: |.5 kg. is suspended from the other end of the string. a) What is the maximum acceleration so that blocks A and 0 g B still slide together when the system is released from rest? Na \ S ”n3 v‘u‘ M3 "’ 3"; a: a =fo I, Jim “:2) =2 7/51 0 E, b] What is the minimum coefficient of kinetic friction 1.1g. between block B and the tabletop so that blocks A and 13 still slide together when the system is released from rest? 5 ~» L. I l. LFIflaJ—J "‘6 MFFFF. {q f c) What is the minimum tension in the string as the blocks A and B slide together when the system is «J 0 released From rest? (1.5. Two identical stars with mass M orbit around their common center. Each orbit is circular and has radius R, so that the two stars are always on opposite sides of' the circle. They are termed as binary stars. (.95) a} Find the gravitational force of one star on the other in terms of G. M and R. £0 ‘5) b} Find the acceleration of‘each star in terms 0“]. M and R. fizmq I"??? \J : \( E...— _ _ ’ ‘ L! F" Q35] :1) Fund the Ofbllfll period of each star in terms ofG. M and R. U __ 2.17 EL ___,) KT = 9- fi 2‘ .. *1: V Q: C’M/ma‘ ‘4: V1 GM/i’. ...
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