5. Test 3 Solutions

5. Test 3 Solutions - Problem 1 (12 pts) Using masses and...

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Unformatted text preview: Problem 1 (12 pts) Using masses and springs like these you used in the lab, it was found that a 20 gain mass hanging from a spring had an oscillation period of 1.2 seconds. I (a: Bpts) When two 20 gram masses are hung from the spring, what would be the period in seconds? Show all steps in your work. aim 96MB“ ‘- F-ZJT-r 1&5 ’T—‘ZFE'LLL 1" like 7;: 2:11 :— 2‘7 2"“ k 7, fl; 47:?702) “’2’ ks 5’ '1? (I a)" :I’FZ’ :‘SAKN/M 7; r :27? w nflafi I“??? _ .2 (“7'5 (b: 6pts) When one 20 gram mass is supported by two identical vertical, parallel springs (identical to the spring described above), what would be the period in seconds? Show all steps in your work. i/ld 1 77' L I k-S; -2 7’7 :mfin: “’7 — _’..__—-:.o~s§s gob/3.1m E71 ; 77"- iog’ , 3; 5 3167490 Problem 2 (12 pts) An alpha. particle with mass 6.8 x 10‘27 kg is moving with a. speed of 2.9 x 108 m/s. (a: 4pts) What is the rest energy of this alpha. particle? Show all steps in your work. 1205‘“ W631 L‘MCL ,,___ :(6— (K 652?) C3 a?) a: 6-!) 9—10 3 (b: 4pts) What is the total energy of this alpha particle? Show all steps in your work. E F YWCL L 1: ' MC f v?— J’ 7" 7.. 2- .; ____l______..’ mc :(3-?I)'Mc Problem 3 (20 pts) Jack and Jill are maneuvering a. 3000 kg boat near a dock. Initially the boat’s position is (2, 0, 3) 111 and its speed is 1.3 m/s. As Jack exerts a. constant force of (—400, 0, 200) N and Jill exerts a constant force of (150, 0, 120) N, the boat moves to position (4, 0, 2) In. I (a: 6pts) How much work does Jack do? Show all steps in your work. ‘5 f Wave 5 {’dwtz "5% : 4400/ of ?06>~C<4f0{2_> _<2,c9,2>) : (—40% 0/ 2W> “’ <2/ ‘9; "Q :. w‘geo +— r __ {weJ (b: 6pts) How much work does .1111 do? Show all steps in. your work. “'3’ - . _ r— J 9 w kdll{ AF 11' <[S‘v/ 0/ ['ZQ)> 9 <2/ 0/ hl> (80 CT r 360 F120 H (c: Spts) Assuming that we can neglect the work done by the water on the boat, what is the final speed of the boat? You must start from the energy principle and show all steps in your work. ,-—— _ o bust/(.5 "' WSULN' "FM -k - __,(m *'[w _. #g—LO lax, w A 2 .—-.. Jim/2 *- -,§[2m)(l~3> Fen): 23%;:st I 2' J? .: I415- V'P : ‘01:ng _:; #06? £3) Problem 4 (5 pts) An alpha particle (the nucleus of a helium atom, centaim'ng two protons and two neutrons) is shot toward a carb0n-12 nucleus (containing six protons and six neutrons) that is moving toward the alpha particle. The speeds are nonrelativistic. In the graphs shown below. the energy E is plotted on the vertical axis and the separation distance r is plotted on the horizontal axis. Which of the graphs below correctly represents the kinetic energy K, potential energy U and the total energy K + U for the system of alpha-particle and carbon nucleus? Circle one: 1 2 3 Q E E E K E K+U K+U K K U U r I' r r U 1 3 4 The diameter of a titanium atom is 2.60X10_w m and its interatomic spring stiffness is 31.2 N/m. One Problem 5 (10 pts) mole of titanium has a mass of 48 grams. You strike one end of a titanium bar of length 2 In and a microphone at the other end picks up the signal. How long will it take for the microphone to pick up the signal? Show all steps in your work. Problem 6 (16 pts) An insulated container holds 620 grains of water at a temperature of 20°C (room temperature). An electric heater in the container is turned on for 55 seconds, then turned off. The heater inputs 1200 Joules every second. At the same time you stir the water with a heater, doing 15000 J of work. ‘Now what is the final temperature of the water? You must start from the energy principle and show all steps in your work. Aggie, : we; (whims-«(sea Problem 7 (25 pts) Two objects with equal masses m1 = m2 = 2.8x1012 kg are in outer space at a distance of 4.5x104 m apart and moving toward each other with equal speeds of 0.08 m/s. What is the speed of each object when they are 1.2x10‘1 m apart? I You must start from the energy pfinciple and show an steps in your work. a 5 Lo—«e .‘ 2 W Samar r .i W kanéffl I g Leda .- rt F r Ame gala—3% .2 in __ :£(.~>”QL(MJ UL '— ‘09 “‘[5 : 7 (\ZQiUv/ V4 _ -... u-r 4C 0 ,d g 3 g +M/Q/ $944.9 5‘15 Kfilgfltufi e. l<tb+l<u+ a? 2 _ 1 L __ ETA/2M) Jr 4—2;?) * “NEWJ‘L 7. 2' M G III/L V? 2: V" fé’i + V} 1 nooeLe—J" mate (elite-6‘) ': «(.90 6L6 +‘ '0’“; :- ‘Offl V? 2: WWW 7* 0"34 MLS ...
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5. Test 3 Solutions - Problem 1 (12 pts) Using masses and...

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