Physics 140 Winter 2015 Final Exam April 24 2015 Form 1 EL A f C if t I Your name Mii E First Last O v S Your UMID number Fill in your name student ID number and form number on the scantron and in the spaces above All cell phones text messaging devices computers and communication devices of any type must be turned off and stowed out of sight The exam is closed book You may use four 3 x 5 7 5 cm x 12 5 cm notecards both sides You may also use a calculator that cannot communicate with the outside world You cannot share calculators notecards scratch paper exam booklets or scantrons Exam responses must be based on your individual work only You must mark the correct answer on the scantron to get credit for each problem The exam is 120 minutes long There are 25 multiple choice questions All questions are of equal value There is no penalty for guessing At the end of the exam hand in your scantron and show your UM ID Constants and equations you may find useful x x 7 ar 2 at 2a x xo I2 2 rnt at 2 7 V vt Vft 0 0 o Wz 0 Oz azt Oz 2a 6 0 Rco dvldt Ra IR 02R 2 arad v v Oo VNC VNB VB C continued on the next page Table S 2 Moments of Inertia of Various Bodies b Slender rod axis through one end a Slender rod axis through center I 1 axis along edge M o2 Infl 1 I h Solid sphere g Thin walled hollow 1 Solid cylinder e Hollow cylinder d ihin rectangular platc c Rectangular plate axis through center cylinder I 1 I 2 M k I 1 MR 2 2 MR i Thin walled hollow here 1 s 2 1 EMR R 2012 PearSon E sabca ix continued from the previous page rn2r2 2 I rnlr I CM m Ir d 2 2 Md UkN Fk 1 F 5 kT r Gm m Fg 2 2 GM r Vorb 2 Vesc 2GM r W p Pd P0 pgd Fb pfluidVdisplacedg F d j 2 A v A v 1 2 P2 1 pV2 2 p pgyi pv x t Acos cot q a oix k rn 2 or g L 2 or 2 0 mgd I oi 2irf 2ir T k 2r A 2 v wik JT f F4t 2 g 9 8m1s H 10 kg N m 2 G 6 67 x m 6 RE 6 38x 10 MEh 5 97 x 1024 kg 5 Pa Patm 1 atm 1 013 x i0 1000 3 kg rn P pure water my f 1 Fr A 0 E Al i YE U g j dt verAt X3 rCM m r m2r2 ml m2 r rxF L rxp F dPE dx 2 2 TKE mv 2 2 RKE 1w r 2 Gm m GPE 2 2 EPE TKE RKE GPE EPE Wnoncons TKEf RKEf GPEf EPEf 1 A mass is oscillating on a horizontal spring that obeys Hooke s law There is no friction or air resistance Which of the following statements is true I 2 3 4 If the amplitude of oscillations If the amplitude of oscillations If the amplitude of oscillations If the amplitude of oscillations is doubled the period of oscillations will double as well is doubled the total energy of the system will double as well is doubled the maximal velocity of the mass will double as well is doubled the angular frequency of oscillations will double as well t JE a Statement 1 b Statement 2 Statement 3 d Statement 4 e None all statements are false r L i SffM TbTA L I S I d the OstuI w 41L A t 2 A projectile is fired horizontally from a tall building with a speed of 50 mIs What is the speed of the projectile 3 0 seconds later Ignore frictional forces a 29 mIs b 50 mIs 58 m s d 79 mIs e 99 mIs 0 V i0 I I v V C t t t LL4 eU U t tAftYW M41 S V ii ei JV 4 SZm s 3 The diagrams below show identical masses held by strings under tension All pulleys are ftictionless and all strings are identical Rank the cases according to the wave speed in the horizontal segments of each string II II a b v1 c V2 Vi V3 d Vi V3 V2 e Vi V7 V3 V3 V2 ik V3 V2 V1 3 2 1 w 4F t1et cZ l4f Lt A4 c ft L L 1 L4 j I 4 An apple is attached to a vertical spring which stretches by 10 cm when the apple hangs at rest in equilibrium If the apple is pulled straight down an additional 4 cm and released at rest what is the period of the resulting oscillation c 0 75 i ye 4 tt a 0 49s b 0 63 s s d 1 OOs e 1 19s kxQ pr1 fl LJ 1 jc a T c2 f 4 LMC GLQ 4 wi i 4 4 1 I r1 1 T cZ7i ir I j 9 Xo c21 o ii 2v Xo t L slipping Which of 5 A uniform metal hoop starts from rest and rolls down an inclined plane without the following statements about the hoop s motion is false a This motion can be viewed either as pure rotation or as a superposition of translation and rotation b Positive work is done by gravity as the hoop rolls down the incline There is no static friction force exerted at the contact point of the hoop with the incline d Measured about the center of the hoop the net torque on the hoop is non zero center e The point on the hoop opposite to the contact point moves with twice the speed of the hoop s of mass fl4L 11 41A 71 frI4i 7 cjueJ 7Ysc a0 fJ c M t dt vtA 4i6frL 1 p ke MtMk flO C4t w1 W 11 tU Z o 4 aS 1U t Mk i hP44 if 4e 1w up f k CM 6 cit 4Cf Vc 4 t ch 6 Given two vectors A and B 1 vilaiQ i Qt r I4Cd A 2 OOi 7 OOj What are the magnitude and direction of their difference A ti p 4 V B 3 OOi ti R 2 OOj B a 7 1 at 29 clockwise from the positive x axis b 10 3 at 61 counterclockwise from the positive x axis c 7 1 at 29 counterclockwise from the negative x axis 10 3 at 61 clockwise from the negative x axis e 7 1 at 29 clockwise from the positive y axis 1 5 i I A 8 10 3 c 5 C s hDo 7 A body moves under the influence of several forces along a closed loop path shown in the figure It begins in the lower left corner of the square and moves counterclockwise until it reaches the same corner after …