Physics 140 Winter 2015 Third Midterm Exam April 9 2015 Form 1 Mi i E Your name First Last Tiws 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 three 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 90 minutes long There are 20 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 2 vo t at 2 v at 7 2 vij 2a x X 6 6 2 2 o ot at x xo Oz azt 2a 6 v Rco at dv dt Ra R a 2 R 2 arad v 2 Wz Oo V JC vAJB VB C continued on the next page Tab e 9 2 Moments of Inertia of Various Bodies axis through one end a os through center I 2 MI d Thin rectangular c Rectangular plate b Slcndcr rod a Slender rod axis through center l I a 1 M LS1S along edge j 2 1 I 2 R 1 M R h Solid sphere g Thin walled hollow cylinder f Solid cylinder e Hollow cylinder j2 I I Thin walled hollow sphere I 2 MR 1 MR 2 R R k continued from the previous page t rxF L r x p JO 2 Vorb G 41 r U m jr d 2 I mlrl m r 2 2 I k Md 1r m 1 Gm Fg 2 Fk lkN 2GM r 2 Pd po pgd Vesc If w j p P d B PfluidVdisplacedg v 2 A A v 1 pvi pgyj 2 P2 pgy2 p1 Pa Patm 1 atm 1 013 x 3 P pure water 1000 kg rn my 1PdtPavert 1 2 ml m2 m r rcM mlrl 2 F dPEIdx 2 2 TKE mv 12 2 RKE 1co r 2 m 1 GPE Gm 9 8 mIs 2 kg m G 6 67 x lO N 2 m 6 RE 6 38x 10 kg 24 ME 5 97x 10 g EPE 2 2 1 TKE RKE 1 GPE 1 EPE TKEf RKEf GPEf EPEf 2 pv PointN PoiniW 1 An ideal fluid flows in a steady laminar fashion through a horizontal pipe as shown Which statement if any about various characteristics of this fluid at points W and N is false a b c d The fluid density at point W is equal to the fluid density at point N The flow speed at point W is smaller than the flow speed at point N The volume flow rate at point W is equal to the volume flow rate at point N The pressure at point W is greater than the pressure at point N None of the above statements is false f2J Oh e Pi At u s t v s Pw P J o Pj 2 Planet X has half the mass and twice the radius of the Earth How does gx b gx c Yx d g e gx Ut gx compare with our gE YE 8 YS4 2 YE YE zi Iten 3 Imagine someone has managed to drill a hole along an Earth s diameter for example from the North Pole to the South Pole and dropped a small object there without initial velocity Which of the following statements about the object while inside the Earth is false Ignore Earth s rotation around its axis and assume that the Earth has uniform density 1 The center of the Earth is the point of the stable equilibrium of the object 2 The gravitational force on the object is proportional to the distance from the object to the center of the Earth 3 The gravitational potential energy of the object has a minimum at the center of the Earth 4 The gravitational force on the object is zero at the center of the Earth a b c d Statement 1 Statement 2 Statement 3 Statement 4 None is false all statements are true prwe n c tc j4 a q w5 r R frovw the ceZr 4 ti ak Le I Mrn i2 r 5e Ecple 1 3 10 p 1 LS 1 Lt ai L k t e Lt iv WI jti LS t L 4 4 r p acU 9 4 dt rtSc fr tA X Pt kP1 m4x Tt 4 tt IOPIC k4 tJkett ttt o jet I f4 Eart4 eli e 4 7 W 44 tCa khA n 1 dIA ftAC t If ft Ic 14ZfL4 k Ekvt kW4 1 4z ed 43 rscL e1m t l k 00 ct c r 4 TkL fle O f 2 V i d1 Ii L 4 Suppose that you increase the rotation rate of the Earth until the apparent weight of objects at the equator vanishes To make this happen what would the rotation period of the Earth have to be i e what would be the length of the day A a 9 9 seconds b 13 minutes 85 minutes d 530 minutes e 24 hours a c e J ir Jw 0 Sec m csj fD t eth1 T j ie T 6 5 An ideal fluid flows in the arrangement of tubes as shown in the figure What is the relation between the pressures at points 1 2 and 3 The tube diameters are equal at points 2 and 3 2 1 a pl p2 p3 b p1 P2P3 c pl p3 p2 P3 p2 Pi 3 1 1 p2 2 e J r 6 4 ci 3 AA A t J septc A A J t ptpe ivec ft I We e F P 2 V tIZ 4 pI P 2 6 A slab of ice floats on a freshwater lake What minimum volume must the slab have for a 45 kg 3 child to stand on it without getting his her feel wet Take the density of ice equal to 920 kg rn a b c d e 44 3 0 45 m 3 0 56 rn 3 0 88 rn 3 1 22m 3 1 94m 1A J ec f vvi M fiaev6ce z ftcece 573 4t1LI P 7 A satellite is orbiting Earth in a circular orbit with a period of 90 minutes Ignore the effect of all celestial bodies other than Earth as well as the Earth s own motion Assume that gravitational potential energy is zero at infinite separation Which of the following statements are true 1 The total mechanical energy of the satellite is negative 2 The …