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phys218-spring-2010-exam-02-practice-with-solutions

phys218-spring-2010-exam-02-practice-with-solutions - PHYS...

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Unformatted text preview: PHYS 218, Exam 2 T§bté§.z ' Momoflnenia forSome Common Objects“ OBJECT master Sun: Hoop Rod pivoted at center I = MR1 I = find} 5°“ 51’5"" Pullcjrlcylinderfdisc I = our: 1' = M3 Wheel 0a: hollow cylinder Spherical shell I = Mai“ + Rim) Ruin I = £79.31 Rod phmDCd at One end Sofie]. square plate with axis I = M2 perpendicular to plate I I = #5511.2 lIn etch case, an is the nasal mass of the abiact. Density of water, p“am = 1000 kg/m3 Acceleration due to gravity, Igl = 9.8 m/r:2 N... 1214. B [W (Last) (First) {Middle} 1. Record “66” as your tvm—digit exam version number on the scantron form in the field “TEST/QUIZ NUMBER”. 2. write your name here and on the scantron form. 3. Record your PUID number in the “STUDENT IDENTIFICATION NUMBER” field on your scantron form. 4. A numeric answer that is correct to within 1% error is considered correct. In the case that the queation asks you to “estimate”, the answer needn’t be so precise. 5. When you hand in your scantron, please tear 0E this pageand hand it in as well. Good luck! 1. A worker pufls out rope at a constant rate of 2 foot/s. If the rope is attached to a pulley of radius 1 foot, what is the angular velocity of the pulley? 1 foot 2 0.3048 130. (a) 271' radians f s (0) 6.5617 radiansxs ’U‘ ‘—' 60R [0) 0.6356 radians/s (d) :r radlans/s w: 2 _F¢a+/$ e) None of the a we. 2. A chest of volume 2.5 m3 filled with gold (p = 19,300kg/m3) sits at the bottom of a lake of depth 34 In. What is the buoyant force on the chest? (a) 24,500 N (b) 333,000 N = M (0) 448000 N FE: 5 3 (d) 473,000 N (6) None of the above. was £ Quail 45:94.4 5 15 w? [000 t: ‘5 1500 L3 3. A marble (radius 1.1 cm and mass 10.0 g) initially at rest rolls without slipping down a ramp of vertical height 14 cm. What is the speed of the marble when it reaches the bottom of the ramp? Neglect air (11:). . AE=0 —— Er E; (b) 14.0 m/s (0) 2.62 m/s (d) 1.66 m/s (e) None of the above. 4. A student of mass 100 kg is sitting still on a freer rotating stool holding a rotating bicycle wheel, a situation similar to our in-class demonstration. O 1:: ——.. flip Wheel 3 Initially, the angular velocity of the bicycle wheel is 10 radian/s and its mass is 1 kg. The radius of the bicycle Wheel is 0.5 In and you may assume that all of the wheel’s mass is along the outside rim. The student flips the bicycle Wheel over and he begins to rotate at 1 radian/s. What is the magiitude of the total angular momentum of the system (student and Wheel) after the wheel is flipped over? (a) 2.25 kgm-Z/s =0 (1:) 50kgm2 8 AL- ((1) 2.5 kgmgfs L‘s, 7(IC) (d) 250 kg nag/s () N fthe ab0ve. e 01160 LS: f: 5. Two balls, one twice as heavy as the other, are dropped from the roof of a building. Neglect friction. J ust before hitting the ground, the heavier ball has (a) the . I - kinetic energy as the lighter ball Ag :5 o (b twice the kinetic energy of the I g er ball (6) one-half the kinetic emery of the lighter ball E H :10 5) . ((1) four times the kinetic energy of the fighter ball (e) the same kinetic energy as the lighter ball K 603 \ "-5 4‘1. 5‘ f :11 me, a: In, Find the magiitude of the torque about the person’s hands due to the weight of the pole. at, 368NII1 —(b) 184 Nrn 2’ (C) 318 Nm ‘1‘: Pam a C05 " 2.5 lupL (d) 735 Nm (e) None of the above. : 35;, t cos Lb. . 2,5 M I! Hst NM 7. A roller coaster stints at a height of y1 = 10.0 m with a Speed of 10.0 m/S. What is the roller-coaster’s speed at the top of the next hill with height '92 : 4.0 m? Neglect air resistance and the mass of the wheels. 35 1’2 (a) 10.8 m/s a (b) 8.85 m/s [‘E ‘— O (c) 17.2 m/ ""' _ ‘ "' . w (d) 11.3 m/: W8 + “5 (W50 Jr LEW) "" O m l 1., I m: W"; ‘ Q4355 31"?)* O 1:; =- léfigffln) "r viz ~= 2-7-x‘ELObw‘l “34-60% = {+75 "E 8. TWO billiard balls of equal mass, collide as shown in the figure below. Ball 1 is initially traveling along x with a. speed of 16 111/ s, and ball 2 is at rest. After the collision, ball 1 moves away with a speed of 7.0 m/S at an angle 3 = 52°. What is the y—component of the velodty of ball 2 after the collision? (a) -431 m/s A (b) —9.00 m/s A? = O (c) —7.09 m/s T s? O -55 " . = 2e 5.. (e) None of the above. 17 go 173:5; 0 3:1,; 1:1}? ‘Ffinig‘l': 7.0 #‘ ark ‘62» T- 5; 9. Make any necessary assumptions and estimate the pressure that you would need in order to pump water from the ground floor to the top of a 32 story apartment building. (a) 109 Pa. A? a mu (Cl 103 Pa. lax (d) 107 Pa, : [cob _... £ (to in; . LL (6) None of the above I»? 5- lo\ a Elkfia‘l; L’fiw‘sflgh ‘43,, LP: poo-[MOO ~ {0" M535” V II]. A bicyclist rides down a hill of vertical height 50 ID on a calm windless day. At the bottom of the hill her velocity is 40 m/s. Which of the following statements must be true. (a) Air drag was significant. (In) The bicyclist did not pedal the bicycle. (0) Air drag was negligjble. (d) The bicyclist pedaled the bicycle. (8) None of the above. E. ...
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