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P115-F06-11-1 - UNIVERSITY OF WATERLOO DEPARTMENT OF...

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UNIVERSITY OF WATERLOO DEPARTMENT OF PHYSICS Physics 115 - Mechanics Final Examination December 8, 2006 9:00– 11:30 Time: 2.5 Hours Name: (Print) Division ID # Signature Professor: Circle One R. Jayasundera [Mec. St. 4] 008 D. Strickland [Elec. St. 4] 005 F. Mansour [Chem] 001 R. Jayasundera [Mec. St. 8] 007 D. Strickland [Elec. St. 8] 006 F. Mansour [Env.Chem] 002 R. Allahverdi [Comp.] 004 M. Fich [Civil] 003 M. Balogh [Softw.] 009 Aids Permitted: Calculator, attached formula sheet ATTEMPT ALL QUESTIONS Important Instructions - Read Carefully 1. Part A has 20 questions, worth 20%. 2. Part B has 6 questions, worth 80%; 1 question per page; recommended average time per question: approximately 20 minutes 3. Check that your booklet has 13 pages (including 1 blank sheet at the back and this cover plus a formula sheet). Questions are to be answered on this paper. Use the space under each question first. If necessary continue on back of previous sheet and then on the blank sheet, and indicate by writing “continued at left” or “continued on page 11”. Answers must include units where appropriate. 4. In Part A, the letter corresponding to each answer must be entered on your computer sheet in dark lead PENCIL only. Avoid erasures by checking answers before marking them. Mark your I.D. Number and Division Number in the space provided. Also (THIS IS IMPORTANT) fill in the correct ovals for your I.D. Number and Division. Do not mark “card number” column. Check that you have not missed, or put double marks in any row in the answer field. 5. Print name, etc., in the upper right part of your computer sheet and at the top of this page. 6. There is no penalty for marking incorrect answers. 7. **NOTE: KEEP COMPUTER SHEET FACE DOWN WHEN NOT IN USE ** 8. **NOTE: COMPUTER SHEETS WILL BE COLLECTED AFTER 2 HOURS 9. In Part B, answers must be entered in the boxes provided. These will be hand-marked, and part marks will be given liberally, if your solutions clearly show correct thinking. 10. Ask a proctor to clarify a question if you think that is necessary. GOOD LUCK ! Use g = 9.80 m/s 2 (NOTE : Assume all given data is accurate to three significant figures if needed) Moment of Inertia (about axes through centre of mass ). Cylinder or Disk (mass M, radius R, axis to radius) : I CM = (1/2) MR 2 . Solid Sphere (mass M, Radius R) : I CM = (2/5) MR 2 Hoop (mass M, radius R, axis to radius): I CM = MR 2 Rod (mass M, length L, axis to length) I CM = (1/12) ML 2 . MARKS ONLY 1B 2B 3B 4B 5B 6B TOTAL
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PHYSICS 115 - FINAL EXAMINATION PAGE 3 OF 13 1. Vector A r lies in the xy plane. For what orientation of vector A r will its components have opposite signs. (a) 1 st quadrant (b) 1 st and 2 nd quadrant (c) 2 nd and 4 th quadrants (d) 1 st and 4 th quadrants (e) 2 nd and 3 rd quadrants 2. A baseball is thrown with an initial speed of ( 29 ˆ ˆ 10 15 / i j m s + . When it reaches the top of its trajectory the velocity and acceleration are (a) 2 ˆ ˆ 15 / and 0 / j m s i m s - (b) 2 ˆ 10 / and 0 / i m s j m s (c) 2 ˆ 10 / and 9.8 / i m s j m s - (d) 2 ˆ 10 / and 9.8 / i m s j m s + (e) 2 ˆ ˆ 0 0 / and 0 / i j m s i m s +
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