Name: Teacher: DO NOT OPEN THE EXAMINATION PAPER UNTIL YOU ARE TOLD BY THE SUPERVISOR TO BEGIN PHYSICS 224 FINAL EXAMINATION June 21 Value: 1% General Insrucions This examinaion consiss of wo pars. Boh pars are conained in his bookle and furher general insrucions are provided on appropriae pages. Par I Muliple Choice (4%) Selec he leer of he correc response from hose provided. EITHER shade he leer on your compuer scorable card OR place he leer in he blank provided on your Muliple Choice Answer Shee, whichever forma is being used by your school for his exam. Do ALL quesions in his secion. Par II Consruced Response (6%) Answer ALL quesions fully and concisely in he space provided. Show all work and use correc unis and significan digis in all final answers. A Formulae Shee is provided. Suden Checklis The iems below are your responsibiliy. Please ensure ha hey are compleed. Wrie your name and eacher s name on he op of his page. Wrie your name, eacher s name, course name and number on he Par I answer shee. Check he exam o see ha here are no missing pages. ALL MATERIALS MUST BE PASSED IN WITH THIS EXAM. Use your ime wisely. Good luck! Physics 224 June 21 Page 1
1. Which represens a vecor quaniy? (A) displacemen (B) mass (C) speed (D) ime Par I Toal Value: 4% 2. Mary walks 6 m [E] hen 1 m [W] hen 8 m [E]. Wha is her displacemen? (A) 4 m [E] (B) 4 m [W] (C) 24 m [E] (D) 24 m [W] 3. Which graph represens an objec wih uniform moion? (A) (B) (C) (D) d d d d 4. Which velociy-ime graph maches he displacemen-ime graph shown below? d (A) (B) (C) (D) v v v v 5. A car sars from res and acceleraes uniformly a 6.6 m/s for 1. s. How far does i ravel? (A) 33 m (B) 66 m (C) 33 m (D) 66 m Physics 224 June 21 Page 2
6. A ball is ossed sraigh up wih an iniial velociy of 5. m/s. Wha is he speed of he ball a is maximum heigh? (A). m/s (B) 5. m/s (C) 9.8 m/s (D) 14.8 m/s 7. The driver of a car ravelling a 25 m/s sees a moose ahead. He applies he brakes and he car slows down a a rae of 8.3 m/s. If he driver s reacion ime is.6 s, wha is he oal disance ravelled from he ime he driver sees he moose unil he car sops? (A) 14 m (B) 15 m (C) 38 m (D) 53 m 8. An objec acceleraes a 2.2 m/s for 3. s. If he final velociy of he objec is 15 m/s, wha was he iniial velociy? (A) 2.3 m/s (B) 8.4 m/s (C) 16 m/s (D) 22 m/s 9. A car ravelling 9 km/h [W] is passed by a ruck ravelling 12 km/h [W]. Wha is he velociy of he ruck relaive o he car? (A) 3 km/h [E] (B) 3 km/h [W] (C) 21 km/h [E] (D) 21 km/h [W] 1. Wha is he magniude of he ne force on mass, M? 5N 12N (A) 11 N (B) 15 N 2N M 13N (C) 19 N (D) 49 N 17N Physics 224 June 21 Page 3
11. Wha is he weigh of a 45 kg person on earh? (A) 9.8 N (B) 45 N (C) 99 N (D) 44 N 12. Force F causes an objec o move wih a consan speed over a rough surface as shown. How does he force of fricion f compare o F? (A) (B) (C) (D) f f F A 13. Wha are he unis for impulse? (A) N kg (B) N m (C) N m/s (D) N s 14. Which of Newon s Laws explains why a plae says on he able when a able cloh is quickly pulled from beneah i? (A) Newon s Firs Law (B) Newon s Second Law (C) Newon s Third Law (D) Newon s Law of Universal Graviaion 15. Wha is he magniude of he acceleraion when a 1.25 kg dynamics car experiences a ne force of 5. N? (A).25 m/s 2 (B) 3.8 m/s 2 (C) 4. m/s 2 (D) 6.3 m/s 2 Physics 224 June 21 Page 4
16. Two masses are conneced by a sring over a fricionless pulley as shown. Wha is he acceleraion of he sysem of masses? (A) 4.9 m/s (B) 6.5 m/s (C) 7.4 m/s (D) 9.8 m/s 2kg 6kg 17. Three spring scales are conneced and a 6 N force is applied o scale #3. Wha would be he reading on scale # 2? (A) 2 N (B) 3 N (C) 4 N (D) 6 N 18. Wha is he horizonal componen of he force shown? (A) 79 N [E] N (B) 79 N [W] (C) 13 N [E] (D) 13 N [W] W 58 S E F=15 N 19. A 16.5 kg mass and a 25. kg mass experience a graviaional force of aracion of 1.36 1 N. Wha is he disance beween he cenres of heir masses? (A).22 m (B).45 m (C) 2.22 m (D) 4.94 m 2. Which objec has he greaes momenum? (A) 1. kg mass moving a 6. m/s (B) 2. kg mass moving a 4. m/s (C) 5. kg mass moving a 2. m/s (D) 7. kg mass moving a 1. m/s Physics 224 June 21 Page 5
21. A eacher has wice he mass of a suden. If hey boh run up he same fligh of sairs in he same amoun of ime, which saemen is rue? (A) The suden generaed greaer power. (B) The suden was faser. (C) The eacher did less work. (D) The eacher generaed greaer power. 22. If a moor is 8% efficien, which saemen regarding energy is rue? (A) inpu oupu (B) inpu oupu (C) inpu oupu (D) inpu zero 23. A book is on op of a book shelf. Which ype of energy does he book have wih respec o he floor? (A) chemical (B) elasic (C) graviaional (D) kineic 24. A 65 kg girl climbs a 4.m ladder in 5. s. How much power does she generae? (A) 52 W (B) 51 W (C) 13 W (D) 51 W 25. A bungee cord has a spring consan of 112 N/m. How far will i srech if a 5. kg mass is hung from i? (A).229 m (B).446 m (C) 2.24 m (D) 4.38 m Physics 224 June 21 Page 6
26. A ruck pulls a railer wih a forward force of 35 N while moving a a consan velociy of 22 m/s. How much work does he ruck do in 36 s? (A) 7.7 1 J (B) 7.7 1 J (C) 2.8 1 J (D) 2.8 1 J 27. Wha is he kineic energy of a.6 kg ennis ball ravelling a 55 m/s? (A) 1.7 J (B) 3.3 J (C) 91 J (D) 18 J 28. Objec A has half he mass and four imes he speed as Objec B. How does he kineic energy of Objec A compare o he kineic energy of Objec B? (A) A has 2 imes he energy of B. (B) A has 4 imes he energy of B. (C) A has 8 imes he energy of B. (D) A has 16 imes he energy of B. 29. A block on a spring demonsraes simple harmonic moion by bobbing up and down. Which saemen abou he block s energy is rue as i ravels from posiion X o X? (A) Elasic poenial energy is consan. (B) Graviaional poenial energy is consan. (C) Kineic energy is consan. (D) Toal mechanical energy is consan 3. When a lisener approaches a saionary sound source, wha happens o he perceived frequency? (A) decreases (B) increases (C) subsonic (D) unchanged Physics 224 June 21 Page 7
31. Wha is he expeced angle of refracion as a beam of ligh ravels from glass ( 1.52) a an angle of 23. from he normal, ino waer ( 1.33)? (A) 2. (B) 26.5 (C) 52.2 (D) 56.8 32. A suden is 3. m from a mirror. Wha disance from he suden does he virual image appear o be? (A) 1.5 m (B) 3. m (C) 6. m (D) 9. m 33. Wha ype of mechanical wave has paricle moion in he same direcion as energy ransfer? (A) infrared (B) longiudinal (C) ransverse (D) ulrasonic 34. A buoy bobs up and down on he ocean a oal of 12 imes in 6. seconds. Wha is he frequency of he moion? (A).5 Hz (B) 2. Hz (C) 12 Hz (D) 72 Hz 35. Wha is he speed of an airplane ravelling a Mach 2 if he speed of sound is 332 m/s? (A) 166 m/s (B) 332 m/s (C) 334 m/s (D) 664 m/s Physics 224 June 21 Page 8
36. A radio saion sends ou elecromagneic waves of lengh 3.11 m. A wha frequency is he radio saion operaing? (A) 92.6 MHz (B) 96.5 MHz (C) 14 MHz (D) 18 MHz 37. A block of glass wih an index of refracion of 1.42 is placed in fron of a ligh source. Wha is he speed of ligh in he block? (A) 1.26 1 m/s (B) 2.11 1 m/s (C) 4.26 1 m/s (D) 7.14 1 m/s 38. A hiker is sanding a one end of a canyon ha is 175 m wide on a day when he speed of sound is 341 m/s. How long does i ake he hiker o hear his echo? (A).513 s (B).974 s (C) 1.3 s (D) 1.95 s 39. When a guiar sring of unknown frequency is sounded wih a 512 Hz uning fork, 15 beas are heard in 5. s. Which is a possible frequency of he guiar sring? (A) 497 Hz (B) 512 Hz (C) 515 Hz (D) 527 Hz 4. A disan sar is known o produce a frequency of 6. 1 Hz. If i is moving away from he Earh a 5.35 1 m/s, wha wavelengh is observed on Earh? (A) 8.92 1 m (B) 4.91 1 m (C) 5.9 1 m (D) 5.73 1 m End of Par I Physics 224 June 21 Page 9
PART II Toal Value: 6% Answer ALL quesions in he space provided. Show all workings and repor all final answers wih correc significan digis and unis. Value 41. a) velociy (m/s) [Eas] 4 2 2 4 6 8 ime (s) -2 [Wes] 1 (i) A wha ime(s) was he objec sopped? 2 (ii) Calculae he acceleraion of he objec beween 2 s and 4 s. 3 (iii) Calculae he displacemen beween s and 4 s. Physics 224 June 21 Page 1
Value 4 b) A river flows a 2.5 m/s [S]. A boaer heads 3.5 m/s [E]. Calculae he boaer s resulan velociy wih respec o he shore. Include a labelled vecor diagram in your answer. 4 c) A car sars from res and acceleraes a 6.8 m/s for a period of 3.1 s. The brakes are hen applied and he car immediaely slows o a sop a a rae of 7.6m/s. Calculae wheher he car will hi a garbage can ha is locaed 25 m ahead of he posiion where he brakes were applied. Physics 224 June 21 Page 11
Value 4 42. a) A 65 kg hockey player is sanding on he ice wearing her skaes and holding her 15 kg hockey bag. She hen hrows he hockey bag o he righ a 5. m/s. Assuming here is no fricion, calculae he hockey player s velociy immediaely afer hrowing he bag. 4 b) A ship is being owed by wo ugboas. Tugboa 1 exers a force of 2.7 1 N [E 2. N] and ugboa 2 exers a force of 2.7 1 N [E 2. S]. Calculae he ne force exered by he ugboas on he ship. Physics 224 June 21 Page 12
Value c) A dynamics car is conneced o a.2 kg hanging mass by a massless sring over a fricionless pulley. The force of fricion beween he car and he able is.36 N. 2 i) Calculae he magniude of he acceleraion of he sysem when he.2 kg mass is released. 2 ii) Calculae he ension in he sring when he.2 kg mass is released. 4 d) A 12 kg car is ravelling along a highway where he posed speed limi is 25 m/s. The driver fully applies he brakes and comes o a sop, leaving a skid mark 83 m long. The coefficien of fricion beween he ires and he road is.45. Using physics, deermine if he driver was speeding before she slammed on her brakes. Physics 224 June 21 Page 13
Value 43. (a) A 5. 1 kg roller coaser ravels a a speed of 15. m/s when a a heigh of 5. m above he ground (assume mechanical energy is conserved). v = 15. 1. m 5. m 1 i) Calculae he kineic energy a 5. m. 1 ii) Calculae he graviaional poenial energy a 5. m. 3 iii) Calculae he speed of he roller coaser when i is a a heigh of 1. m. b) A 65 kg race car acceleraes from 2. m/s o 6. m/s. 3 i) Calculae he work done during he acceleraion. 2 ii) If he car generaes 582 kw of power, calculae he ime i ook o accelerae. Physics 224 June 21 Page 14
Value 4 c) A horizonal spring having a spring consan of 4. N/m undergoes simple harmonic moion when a 1.2 kg mass sreches i 2. cm from is res posiion. Calculae he speed of he mass when i is 5. cm from he res posiion. 44. a) A bass guiar sring is 1.3 m long and is vibraing in he hird harmonic. 1 i) Skech he sanding wave paern produced. 2 ii) Calculae he frequency if he speed of he wave is 181 m/s. Physics 224 June 21 Page 15
Value 3 b) A 31 Hz uning fork is held over he mouh of an air column open a one end. If he speed of sound is 352 m/s, calculae he lengh of he air column which produces he second resonan sound. 4 c) An ambulance siren emis a frequency of 44 Hz. If he air emperaure is 22, calculae he frequency heard by an observer if he ambulance is coming oward him a 26 m/s. 3 d) A ligh wih a wavelengh of 5.5 1 m is shone hrough wo slis which are 3. 1 m apar. Calculae he angle a which he firs order maxima occur. Physics 224 June 21 Page 16
Value 3 e) A suden is sanding a he edge of a pool ha is 2.3 m deep. A se of keys is a he boom of he pool, 3.2 m from he wall. The index of refracion for air is 1. and for waer is 1.3. Wha is he angle of refracion in air? θ air, n=1. waer, n=1.3 2.3 m keys 2. m 1.2 m End of Par II Physics 224 June 21 Page 17