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Grade 11 Physics – Course Review 5 Kinematics For questions 1 to 4 choose from the following list of choices: (A) nothing (B) position (C) displacement (D) velocity (E) change in velocity (F) acceleration 1. 2. 3. 4. 5. The slope of a d-t graph gives what? The area under the d-t curve gives what? The slope of a v-t graph gives what? The area under the v-t curve gives what? The area under an a-t graphs gives what? 6. An object initially moving at 10 m/s accelerated to 40 m/s in 20 seconds. a. What was its average velocity? b. How far did it move? c. What was its acceleration? 7. A jet initially moving at 120 m/s accelerated at 15 m/s2 for 10 seconds. a. What was its new velocity? b. How far had it flown in those 10 seconds? 8. A car going 5 m/s accelerated at 0.25 m/s2 over a distance of 150 m in 20s.What was the new velocity of the car? 9. A boat has a velocity of 18 km/h [N 35o W]. What are the components of its velocity? 10. An object ended up 25 m [S] and 40 m [E] of its starting point. What was its displacement? 11. An object initially moving at 15 m/s [N] had an acceleration of 2.0 m/s2 [S] for 5.0 seconds. a. What was its change of velocity? b. What was its new velocity? 12. Use the a-t graph on the right to answer the following questions. Assume that positive is North and negative is South and at t = 0s, the object is moving at 4.0m/s [North]. a. What happens between 0 – 5s? b. What is the change in velocity between 5 – 11s? c. What is the velocity after 11s? d. What is the acceleration between 5 – 11s? 1 L. Mann PHY30S 13. From this v-t graph draw the d-t and a-t graphs. Assume the initial position is d = 5.0 m d (m) V (m/s) 20 15 10 5 0 -5 1 2 3 4 5 6 7 8 9 10 1 1 1 2 1 3 -10 -15 -20 a (m/s2) 2 L. Mann PHY30S 1 4 t(s) Dynamics 14. State Newton’s three laws of motion. 15. A force of 50 N makes an object accelerate at 0.40 m/s2. What acceleration would a force of 200 N produce? 16. A force of 500 N made a mass accelerate at 0.80 m/s2. What force would produce an acceleration of 3.2 m/s2? 17. A certain force can make a mass of 5 kg accelerate at 2.0 m/s2. What acceleration could the same force give a mass of 20 kg? 18. A certain force made a mass of 60 kg accelerate at 0.60 m/s2. The same force gave another object an acceleration of 1.8 m/s2. What is the mass of the second object? 19. A 40.0 kg mass was initially moving at 6.0 m/s when a horizontal net force of 20 N acted on the mass for 8.0 seconds. a. What was the acceleration of the mass? b. What was the change of velocity of the mass? c. What was the new velocity of the mass? d. How far did the mass move while the force was acting? 20. A horizontal applied force of 200 N [E] acting on a 100 kg mass initially at rest could only give the mass a velocity of 3.0 m/s [E] after acting for 10 seconds because there was some friction also acting. a. What was the actual acceleration of the mass? b. How much friction was also acting on the mass? 21. A 65 kg person is standing on a force scale that reads in Newtons. a. What is the mass of the person? b. What is the weight of the person? 22. A 60 kg person is standing in an elevator on a scale that measures Newtons. What does the scale read in each case for parts (A) to (E)? a. The elevator is at rest? b. The elevator has an upward acceleration of 0.80 m/s2. c. The elevator has a steady upward velocity of 1.2 m/s. d. The elevator has a downward acceleration of 0.6 m/s2. e. The elevator has a steady downward velocity of 1.5 m/s. 23. Continue question 19, but now the scale reads 500N. a. What is the acceleration of the elevator? b. If the scale reads 680 N, what is the elevator doing? c. If the scale reads 588 N, what is the scale doing? Give TWO possibilities. 3 L. Mann PHY30S 24. A 50 kg mass is on a level surface where the coefficient of static friction is 0.40 and the coefficient of kinetic friction is 0.35. What horizontal applied force is required to make the mass start to move? 25. Continue question 21, but with an applied force of 250 N acts on the mass. What is the resulting acceleration of the mass? 26. A 75.5kg object had a coefficient of drag of 0.16. a. What is its terminal velocity? b. Find its acceleration if it is falling at: i. 10.0m/s ii. 77m/s iii. 68.0m/s 27. An object with a mass of 4.0kg was found to have a terminal velocity of 34m/s. What is its coefficient of drag? 28. A 3.0kg mass has a coefficient of drag of 0.050. a. What is its terminal velocity? b. If it is falling at 18.0m/s (use this velocity for parts b – d), what is the force of air resistance on the mass? c. What is the net force on the mass? d. What is the acceleration of the mass? Electric Fields 29. Convert the following: a. 6.2μC to ec b. 7.36 x 1015ec to C c. 18.3N/C to N/ec d. 1.73 x 102 N/ec to N/C e. 3.20 x 10-7 N/μC to N/ec 30. A charge of +5.0 x 1012 ec is in an electric field of 2 000 N/C [Left]. a. express the charge in C and µC. b. What force does the charge have? 31. Draw the electric field diagrams for the following: a) + + b) + - + + + - - - c) 32. In a Millikan type experiment, an oil drop with a mass of 1.76 x 10-15 kg was held in balance by an electric field of 27 000 N/C [up]. a) What is the weight? b) What is the electric force? c) Is the charge positive or negative? d) What is the charge in C? e) How many electrons did the drop gain/lose? 4 L. Mann PHY30S Magnetic Fields 33. Draw the magnetic field for each situation, showing its shape and direction. a) b) S N N S b) Which way is B? 34. a) Which way is the force? F N I S I I 35. Calculate the force (and direction) on the wire if 20 cm is in a field of 1.8 T and there is a current of 12 A. N S 36. For the following questions, be sure to calculate the magnitude and direction: a. The current through a wire that is 90cm long is 6.0A [N]. The wire is in a 0.50T [61° E of N] magnetic field. What is the magnitude and direction of the force on the wire? b. A wire that is 0.50m long and carrying a current of 9.0A [36° NW] is in a magnetic field of 0.70T [W]. What is the magnitude and direction of the force acting on the wire? Waves 37. A transverse wave source makes 16 waves in 4 seconds. Two crests, with 3 other crests between them, are 20 cm apart. a) Draw a diagram of part of it and label a crest (C), trough (t), wavelength () and amplitude (A). b) Calculate the period, T. c) Calculate the frequency, f. d) Calculate the wavelength, . e) Calculate the velocity, v. 5 L. Mann PHY30S 38. Draw the reflected pulse in each case. a) fixed end b) free end 39. Draw the reflected pulse after the wave reaches the barrier. 40. Draw the transmitted and reflected pulses in each case: (a) (b) light heavy heavy light 41. The waves are going down the page from deep to shallow. The wavelength in the deep water is 8cm. a) Draw the waves in the shallow sections. b) The frequency is 4 waves/second in the deep Deep section. What will the frequency be in the shallow section? c) What is the angle of refraction, if the speed on the deep side is 4.0m/s and on the shallow side is 2.5m/s? 6 L. Mann PHY30S 450 42. Draw the wave patterns beyond the object(s) in each case. a) b) 43. Determine the resulting wave shape in each case. a) b) 44. a) Label and define the nodes and antinodes in this standing wave. b) What is the wavelength of the waves producing this pattern? c) What # harmonic frequency is this? 8.0m 45. Person A & B are about 500 m apart. They are hearing sounds produced by the same object (which is on a line between them), but person A hears a higher pitched sound than what person B hears. From this they conclude that the object is moving. With reference to person A & B, what direction is the object travelling? 46. Look at the diagram below to answer the given questions: P1 S1 S2 a) Draw in all the nodal lines. b) What would be the distance between the triangle and the source S2 if the wavelength of the waves is 1.5 cm? c) Calculate the wavelength of the waves by using P1 and │PnS1 – PnS2│= (n – ½)λ . d) A point on a nodal line has a path difference of 3½ λ. Which nodal line is it on? 7 L. Mann PHY30S 47. In a double slit experiment, a laser with a wavelength of 442nm is used and the screen is positioned 2.50m away from the slits. The distance from the centre bright band to the second band on the left side is 155mm. What is the slit separation? 48. A double slit experiment is performed to measure the wavelength of light. The slits are 0.0340mm apart. A screen is placed 0.400m away and the distance from the centre band to the next band on the right is 32.1mm. What is the wavelength of the light? Grade 11 Physics – Final Exam Review Answers Kinematics 1. D 2. A 3. F 4. C 5. E 6. (a) 25m/s (b) 500m (c) 1.5m/s2 7. (a) 270m/s (b) 1950m 8. 10m/s 9. vx = 14.745km/h [W] and vy = 10.324km/h [N] 10. 47.2m [32°SE] 11. (a) 10m/s [S] (b) 5m/s [N] 12. (a) no acceleration (not moving or constant velocity) (b) 42 m/s [N] (c) 46m/s [N] (d) 7m/s2 8 L. Mann PHY30S 13. Dynamics 14. See notes 15. 1.6m/s2 16. 2000N 17. 0.5m/s2 18. 20kg 19. (a) 0.5m/s2 (b) 4m/s (c) 10m/s 2 20. 0.3m/s [E] (b) 170N [W] 21. (a) 65kg (b) 637N (d) 64m 9 L. Mann PHY30S 22. (a) 588N(b) 636N 23. (a) 1.47m/s2 [down] (c) 588N(d) 552N (e) 588N (b) accelerating upward, 1.53m/s2 (c) moving at a constant velocity no not moving 24. 196N 25. 1.57m/s2 26. (a) 68.0m/s (b) i. -9.6m/s2 27. 0.0339 28. (a) 24.2m/s (b) 16.2N [up] Electric Fields 29. (a) 3.9 x 1013ec (b) 0.00118C (e) 5.12 x 10 -20 ii. 2.8m/s2 iii. 0m/s2 (c) 13.2N [down] (d) 4.4m/s2 [down] (c) 2.93 x 10-18N/ec (d) 1.08 x 1021N/C N/ec 30. (a) 8.0 x 10 C, 0.8 µC 31. -7 (b) 0.0016 N [Left] 32. (a) 1.71 x 10-14 N [down] (b) 1.71 x 10-14 N [up] (d) 6.4 x 10-19 C (c) positive (e) 4 lost Magnetic Fields 33. a) b) 34. 35. 4.32 N [out of the page] 36. (a) 2.4N [down] (b) 1.9N [up] Waves 37. (a) See Notes (b) 0.25 s 38. (a) (c) 4 waves/sec (d) 5 cm (e) 20 cm/s (b) Normal 39. Reflected Pulse Өi ӨR Өi = ӨR 10 L. Mann PHY30S transmitted transmitted 40. (a) (b) reflected reflected 41. (a) (b) 4 waves/second 42. a) (c) 26° b) a) b) b) 43. 44. (a) (b) 5.3m (c) 3rd 45. Person A hears a higher pitched sound (high frequency) so the source of the sound is moving towards person A. 46. (a) (b) 3.0cm (c) 0.6cm (d) n = 4 47. 1.43 x 10 m 48. 2.73 x 10-6 m -5 11 L. Mann PHY30S