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SampleSolutionExam3 - Exam3FallO6 Key Version#1 l A...

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Unformatted text preview: Exam3FallO6 Key Version #1 l. A submarine is at a depth of 500 m under the water. The force on a circular hatch of 1.00 m in diameter due to the seawater (density = 1,025 kg/m3) pressure from outside the submarine is: a. 6.34x 106 N. p: - F - b.5.50x106N. ”‘3“ P“; :> 13-,»31‘1; c. 2.45 x 106 N. { L3.95x106N. : (/0155; air/M 50% z e. 4.94 x 106 N. M: M 311 XMQHWA) : 3er mm .______~___ 2. A 1200 kg car travels at 25.0 m/s and collides head-on in a perfectly inelastic collision with a stationary 2400 kg truck. The kinetic energy lost in the collision is: a. 125,000 J. (“swam a‘S’ 01W WW kc— mt cwwal lc). 3335383.] 3.1“ K8451!“ ,fi, helm- Eggghdi mu, :(N‘fihévs L7. my}- {mum} Vg“: he“ mgv.;<..—~—»W’X“""”*5 ; m : m 1:; . Mn-m (Macks, {If/00105) ‘,___\ 3. An ice dancer with her arms stretched out starts into a spin with an angular velocity of 1.00 rad/s. Her moment of inertia with her arms stretched out is 2.48 kgomz. What is her angular velocity when she pulls in her arms to make her moment of inertia 1.40 kgomz? ’ A; 1.77 rad/s Cowehluxw 0!r Angola»!- N‘GNN‘VM E: 33322:: L::L.c . T, 1mg.» :1. 32: 3.1/3 110;: I‘m”. 2) “Pi—‘wg' [14019 ,4“ (1,00 1%) 9 #77“? f1. A 4.00 kg hollow cylinder of radius 5.00 cm starts from rest and rolls without slipping down a 30.0 degree 1nc11ne. The acceleration of the center of mass of the cylinder is: a 4 05 m/s2 M39116 r: 5.004». I 9; 30°) M; (Lookg I . i k - Iao - ' 33238511182 I C: M99119 1;: M CLM “95‘ 5' ___‘_L “ ,Maw. C. . s . d. 3.35 m/s2 , . I . uoi‘hfls 600505 a. tow — 51h c.3981“? 5‘ am- ”L I 6 12M MR" ’ «L p. v ’ ' ,1 a a };I ,__., if ‘ ,QSOKQ' ZJ—(S’z‘ “———- 5. A torque of 2.00 Nom 1s applied to an object to give it an angular acceleration. If the angular acceleration IS 1. 75 rad/s2, then the moment of 1nertia is: a. 1.95 kgomz. 'C': log 3> I 11’; b. 1.05 kgomz. °< C. 1.14 kgomz. — 2 _ ‘L._____' 0e») M d. 1.20 kgom . .. 1’75 OLA.“ :|,Hk ENC" e. 1.35 kgomz. 6. If the momentum of a ball is doubled, then the kinetic energy is: a. 5 times larger. P 1 M V M“; ,3 constawll 5° 2-13 =M(LV) b. 3 times larger. ' . _ ‘ Q 4 times larger. so (9,001.21, Momva’cduc 010de W001, d. 2 times larger. , e. 0.5 times larger. :D k8 ; 5L. FOUL .1 ”(1 tw‘): (4 k6: kg 1; 441m luau- My. WmibgCMM'vfi/MX 1‘s Jamal 7. A 100.0 kg mass is blown apart'into a 95. 00 kg piece and a 5. 000 kg piece. Afler the blast, the two masses are moving apart with a relative velocity of 100.0 m/s. The kinetic energy of the 5. 000 kg mass after the explosion is: V q“) VI 5150 7' 115001 4" ° 5 q a. , . + 5k c. 9,5701. ska) . - v _ D_-22,560 J. ‘ k v 1.1.1.4 ,' is : 515». e. 7,5001. V W; v Willow/5 5) VI: ‘15 J “ , we) wow» 5 (am 1. it: *Qij . «V :7 V1,: v‘¢l¢v“\% I (CE ; %(5k5¥_75"/5§L 0F 8. Two objects collide and stick together. Which of the following is false? a. Momentum is conserved. l2 1‘ B_. Kinetic energy is conserved. 1” 'c C°ll‘5‘°“: c. Kinetic energy is lost. ? . ? d_. Momentum is lost. L ' * “iii UP 9. A 2.00 kg mass is located at (4.00 m, 0.00 m, 0.00 m) and a 4.00 kg mass is located at (0.00 m, 3.00 m, 0.00 m). If this system of masses rotated about the Z-axis perpendicular to the X—Y plane, then the moment of inertia of this system is: 9 . "I" E 2. Z M‘ l"- 50 k 2 T l" t ‘ a. ngZ. q'wka 13- g: :g'mz- 3" 1 00 k9 N22. c. go . a _ L 1 d. 62 kgomz. f ' M' r' 1 “J“ E_. 68 kgomz. . 1 :(WO keXsAS H1304“) = 24 haw} + 32 :J M?" 3 (9 kj~M-" 10. Chris and Jamie are carrying Wayne on a horizontal stretcher. The umrorm stretcher is 2.00 m long and weighs 100 N. Wayne weighs 800 N. Wayne's center of gravity is 75.0 cm from Chris. Chris and Jamie are at the ends of the stretcher. The force that Chris is exerting to support the stretcher with Wayne on it is: a. 400 N. ' P—W’Tl . . _ - b. 650 N. "““ g 1:50 :7 Eng; -\’-‘ . his -/va.. 0 c. 250 N. H. l a. .' » “t" _ - D. 550 N. C ° 5.. _ N — mum: 1: w e. 350 N. “WW“ :5 F s C? Q. 3.ng CHM L r, 5504/ 11. The moment of inertia of a rod of length (L) and mass (M) being rotated about its center of mass is l/ 12 M L2. What is the moment of inertia of the rod being rotated about one end? - 9' @1/3 ML2 P l , . C b. 1/10ML2 Mk \el AXIS TIM. ___, , g. C._1/4ML22 L . 1.9.1, : 1 d. 1/20 ML , L a \ i e. 1/15 ML2 l-Lur Max _ ’7 "- at 1: 1 9 1._ ‘L , jll¥;:MLL+M(§) ~ %’-"‘L/ .——-I"—- 12.) . A solid block is attached to a spring scale. When the block is suspended in air, the scale - reads 9.0 N; when it is completely immersed in ethyl alcohol (p=806 kg/m3), the scale reads 1.0 N. (a) What are the volume and the density of the block? (10 points) cw: CLO/v T: LON b (gvstflmw , — ’ R4’/ 75 k9 fl, _ 4:3 2 - 0/06 , Mack v Vb!“ ms (b) Would the same solid block float in water (p=1000 kg/m3)? If your answer is yes: What percentage of the solid block is above the water? (5 points) H10 (i 0N ’ ODOVILN 56 EA: F15; Va 10% 73 Sub: F‘”; k V 0" w 5 f3 ((dw’gx‘l {fl/uh) (c) What happens to the water level as the ice melts? Explain your answer? (5 points) 953% ice (ilsFlQLcs ah wunb 0J— Nafitv efiual {0qu: 0&3le V‘gfiwl M 1 03M MHMIj {LL [(6 Lo; Hue I’OHI" l\\ +01%ch I‘Al'o 0L V0‘VML “flue-L to V; Med” 16¢ WL’ZK (5 fit {64”. UM / 431° 13.) H-—-—.I b = 0.70 m A 90 kg person stand on a lightweight aluminum ladder (you can ignore its Weight). The bottom of the ladder is rubberized (so there's a lot of friction), but the top is bare aluminum and can be considered fiictionless. Calculate the forces fi, f2 and f3. (10 points) Z 5: :3 M5 ‘3 '§30~3— o . I. g 3:; ; ”)3...‘ I 6 Z , Q M «a 51:53: (cw/U .2; C n93 ?</Z’CM) 14. ) - A hockey puck moving at 0.45 m/s collides elastically with another puck that was at rest The pucks have equal mass The first puck 1s deflected 37° to the right and moves off at 0.36 m/s. a.) Find the speed and direction of the second puck after the collision. (10 points) 5mm MRI,» 2) K65 K63. iL/va: L Mu; tin“): ¢; 17" 9 v}; ll,’ V5; C9: 916Wl 3- 550 V Wi ‘ . If CM 045‘: Le ralwfl W31 , Wu!“ . ‘ON a; >~J(OH$::)"'(0136M/53L ; E: 271%! C W . WW“ Page Eu 9i” 3&5 b.) What is the velocity of the center of mass of the hockey puck pair? i.) Before the collision (4 points) ' ii.)After the collision (1 points) ...
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