Exam I. Name. Answer: a. W B > W A if the volume of the ice cubes is greater than the volume of the water.
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1 Name Exam I 1) A hole is punched in a full milk caron, 10 cm below he op. Wha is he iniial veloci of ouflow? a. 1.4 m/s b. 2.0 m/s c. 2.8 m/s d. 3.9 m/s e. 2.8 m/s Answer: a 2) In a wind unnel he pressure on he op surface of a model airplane wing is N/m and he pressure on he boom surface is N/m 2. If he area of he op and boom surfaces of each wing is 2.0 m 2, wha is he oal lif on he model airplane? a N b N c N d N e N Answer: b 3) Wha fracion of an iceberg is submerged? (ρ ice = 917 kg/m 3, ρ sea = kg/m 3.) a. 95% b. 93% c. 91% d. 89% e. 77% Answer: d 4) The waer level in idenical bowls, A and B, is exacl he same. A conains onl waer; B conains ice as well as waer. When we weigh he bowls, we find ha a. W A < W B. b. W A = W B. c. W A > W B. d. 1 W B > W A if he volume of he ice cubes is greaer han he volume of he waer. 9 e. W B > W A if he volume of he ice cubes is greaer han 9 imes he volume of he waer. Answer: B
2 5) Waer flows in he horizonal pipe shown in Figureabove. A A he area is 25.0 cm 2 and he speed of he waer is 2.60 m/s. A B he area is 16.0 cm 2. The fluid in he manomeer is mercur, which has a densi of 13,600 kg/m 3. Wha is he manomeer reading h? A) cm B) 1.3 C) 3.65 cm D) 3.36 cm 6) The wo waer reservoirs shown in Figure above are open o he amosphere. The manomeer conains mercur wih a densi of 13,600 kg/m 3. Wha is he difference in elevaion h if he manomeer reading m is 25.0 cm? A) 4.20 m B) 3.75 m C) 3.40 m D) 3.15 m Answer: D
3 7) The circular pipes shown in Figure above boh conain waer, bu a differen pressures. The are conneced b means of an invered U-ube, which conains oil wih a densi of 800 kg/m 3. The heighs are: h A = 7.0 cm, h B = 20.0 cm, and h C = 13.0 cm. Wha is he pressure difference (P B P A )? A) 240 Pa B) 255 Pa C) 270 Pa D) 285 Pa Answer: B 8) An airplane is fling in air wih a densi of 1.29 kg/m 3. A pressure gauge measures he difference in pressure beween a poin on he nose of he airplane and a poin on he fuselage. The pressure on he nose is higher b 60.0 kpa. Wha is he speed of he plane relaive o he air? A) 295 m/s B) 300 m/s C) 305 m/s D) 310 m/s 9) A graph of posiion versus ime for an objec oscillaing a he free end of a horizonal spring is shown below. The poin a which he objec has zero veloci and posiive acceleraion is x (m) 1 B A C E (s) D 1 a. A b. B c. C d. D e. E Answer: d
4 10) The ampliude of a ssem moving wih simple harmonic moion is doubled. The oal energ will hen be a. 4 imes larger b. 3 imes larger c. 2 imes larger d. he same as i was e. half as much Answer: a 11) A mass is oscillaing on a spring wih a period of 4.60 s. A = 0 s he mass has zero speed and is a x = 8.30 cm. Wha is is acceleraion a = 2.50 s? A) 1.33 cm/s 2 B) cm/s 2 C) 11.5 cm/s 2 D) 14.9 cm/s 2 Answer: D 12) A mass of 1.53 kg is aached o a spring and he ssem is undergoing simple harmonic oscillaions wih a frequenc of 1.95 Hz and an ampliude of 7.50 cm. Wha is he speed of he mass when i is 3.00 cm from is equilibrium posiion? A) m/s B) m/s C) m/s D) m/s 13) In a supermarke, ou place a 5 lb (22.3 N) bag of oranges on a scale. The scale sars o oscillae a 2.70 Hz. Wha is he force consan of he scale? A) 654 N/m B) 327 N/m C) 819 N/m D) 409 N/m 14) When a mass of kg is aached o a verical spring and lowered slowl, he spring sreches 12.0 cm. The mass is now displaced from is equilibrium posiion and undergoes simple harmonic oscillaions. Wha is he period of he oscillaions? A) s B) s C) s D) 1.44 s 15) If he frequenc of he moion of a simple harmonic oscillaor is doubled, b wha facor does he maximum speed of he oscillaor change? A) 2 B) 4 C) 1 D) 1/2
5 16) If = 0.02 sin (30x 400) (SI unis), he frequenc of he wave is a. 30 Hz b. 15/π Hz c. 200/π Hz d. 400 Hz e. 800π Hz Answer: c 17) Two ropes are spliced ogeher as shown. A shor ime afer he inciden pulse shown in he diagram reaches he splice, he ropes appearance will be ha in (a) (b) (c) (d) (e) Answer: a ) Which of he following is a soluion o he wave equaion, =? x v e x a. x sin x b. (cos kx) (sin ) c. e x sin ω d. e x sin (kx ω) e. e x cos Answer: b
6 19) Two pulses are raveling owards each oher a 10 cm/s on a long sring a = 0 s, as shown below. Which diagram below correcl shows he shape of he sring a 0.5 s? (a) (b) (c) (d) (e) Answer: b 20) The verical displacemen of a sring is given b (x,) = (6.00 mm) cos[(3.25 m -1 )x - (7.22 s -1 )]. Wha is he speed of he wave? A) m/s B) 1.41 m/s C) 2.22 m/s D) 3.16 m/s 21) Wrie he equaion of a wave, raveling along he +x axis wih an ampliude of 0.02 m, a frequenc of 440 Hz, and a speed of 330 m/sec. a. = 0.02 sin [880π (x/330 )] b. = 0.02 cos [880 π x/ ] c. = 0.02 sin [880 π (x/330 + )] d. = 0.02 sin [2 π (x/ )] e. = 0.02 cos [2 π (x/ )] Answer: a
7 22) The figure below shows a sine wave a one poin of a sring as a funcion of ime. Which of he graphs below shows a wave where he ampliude and frequenc are each reduced in half? (a) (b) (c) (d) (e) Answer: e 23) Superposiion of waves can occur a. in ransverse waves. b. in longiudinal waves. c. in sinusoidal waves. d. in all ofhe above. e. onl in (a) and (c) above. Answer: d 24) A car approaches ou a a consan speed, sounding is horn, and ou hear a frequenc of 76 Hz. Afer he car goes b, ou hear a frequenc of 65 Hz. Wha is he frequenc of he sound emied b he horn? The speed of sound in air is 343 m/s.
8 A) 68 Hz B) 69 Hz C) 70 Hz D) 71 Hz 25) You are driving along a highwa a 35.0 m/s when ou hear he siren of a police car approaching ou from behind and ou perceive he frequenc as 1430 Hz. You are relieved ha he is in pursui of a differen speeder when he coninues pas ou, bu now ou perceive he frequenc as 1390 Hz. Wha is he speed of he police car? The speed of sound in air is 343 m/s. A) 38.4 m/s B) 39.2 m/s C) 39.8 m/s D) 41.7 m/s 26) A ruck moving a 36 m/s passes a police car moving a 45 m/s in he opposie direcion. If he frequenc of he siren is 500 Hz relaive o he police car, wha is he frequenc heard b an observer in he ruck afer he police car passes he ruck? (The speed of sound in air is 343 m/s.) a. 361 b. 636 c. 393 d. 396 e. 383 Answer: d 27) Two in-phase loudspeakers ha emi sound wih he same frequenc are placed along a wall and are separaed b a disance of 8.00 m. A person is sanding 12.0 m awa from he wall, equidisan from he loudspeakers. When he person moves 3.00 m parallel o he wall, she experiences desrucive inerference for he second ime. Wha is he frequenc of he sound? The speed of sound in air is 343 m/s. A) 278 Hz B) 452 Hz C) 562 Hz D) 694 Hz 28) The wavelenghs corresponding o he harmonics of an organ pipe ha is open a one end and closed a he oher can be found b saing ha he lengh of he pipe mus be equal o A) an odd number of quarer-wavelenghs. B) an odd number of half-wavelenghs. C) an ineger number of half-wavelenghs. D) an ineger number of wavelenghs. 29) A poin source emis sound wih a power oupu of 100 was. Wha is he inensi (in W/m 2 ) a a disance of 10.0 m from he source? a b c d e
9 Answer: a 30) Two srings of idenical mass per uni lengh are sreched wih he same ension wih heir ends fixed, bu one sring is 0.33 cm longer han he oher. Waves on hese srings propagae a 36.4 m/s. The fundamenal frequenc of he shorer sring is 258 Hz. Wha is he bea frequenc when each sring is vibraing a is fundamenal frequenc? A) 11.5 Hz B) 12.0 Hz C) 12.7 Hz D) 11.3 Hz
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