Course name (SPH4U) FINAL EXAMINATION

Transcription

1 Canadian International Matriculation Programme Sunway College Date: Thursday, Dec 10 th Time: 11:30 am 1:30 pm Length: 2.0 hrs Lecturer: Mr. Anton Gillich Course name (SPH4U) FINAL EXAMINATION Student Name: Section: Please read the following instructions carefully before you begin the examination: 1. This exam paper has 18 printed pages (including cover and formula Sheet). 2. The examination is worth 30 percent of your final mark. 3. The examination consists of three parts. PARTS CONTENT MARKS A MULTIPLE CHOICE 50 Know. & Under, Thinking. & Inquiry, Application B SHORT ANSWERS 15 Communication C PROBLEM SOLVING (Acceleration and Force) 35 Thinking & Inquiry, Application TOTAL Please enter your multiple choice answers directly on the answer sheet provided at the end of Part C. Insure your name and Section are given in the space provided. You may tear the answer sheet and formula sheet out for convenience 5. Your responses to parts B must be completed in the exam booklet provided. Please hand in the exam booklet before leaving. Only work shown in the booklet will be evaluated. 6. Please show full solutions for the problems. Problems must include final answers in the space provided. Only stationary and calculators are permitted. 7. All answers must be written in black or blue pen only. Do not use red pens. For office use only: Part A Part B Part C Total

2 Part A: Multiple Choice Questions. Clearly circle the best solution to each question on the answer sheet provided at the end of this section. You may remove the sheet but be sure to write your name and section on the answer sheet in the space provided. (All Questions are 2 marks each; Knowledge: 30; Thinking: 10, Application: 10) 1. Two hikers set out from the same spot and arrive at the same destination but they take different routes. Which of the following quantities must be the same for both hikers? a) distance d) displacement b) average speed e) acceleration c) average velocity 2. A square race track has each side 100 m long. A jogger at the southeast corner starts running northward and runs once around the track in 50 s. The jogger s average velocity is a) zero d) 4.0 m/s [W] b) 1 m/s [W] e) 8.0 m/s [W] c) 2.0 m/s [W] 3. A baseball is thrown vertically up into the air. The instantaneous acceleration of the ball at the highest point in its travel is a) 9.8 m/s 2 up b) 9.8 m/s 2 down c) changing from 9.8 m/s 2 up to 9.8 m/s 2 down d) changing from 9.8 m/s 2 up to zero to 9.8 m/s 2 down e) zero 4. On the moon, where the acceleration due to gravity is 1.6 m/s 2, an astronaut drops a hammer from a height of 1.8 m above the ground. From the time he lets go of the hammer, how much time does it take for it to hit the ground? a) 2.5 s b) 2.0 s c) 1.5 s d) 1.25 s e) 1 s 5. A falling object is said to reach terminal speed: a) when it lands on the ground. b) when its air resistance equals the force of gravity on it. c) when there is no air resistance acting on it. d) when there is no gravitational force acting on it. e) when it stops falling. 6. Gertrude, who weighs 700 N, stands on a bathroom scale in an elevator. The elevator begins accelerating upward at a rate of 2.0 m/s 2. If she is looking down at the scale, what does she read? a) 1400 N b) 840 N c) 700 N d) 558 N e) 500 N 2.0 m/s 2

3 7. What would the gravitational field strength be on a planet with half Earth's mass and half its radius? a) 78.4 N/kg d) 9.8 N/kg b) 39.2 N/kg e) 4.9 N/kg c) 19.6 N/kg 8. The acceleration of an object sliding along a frictionless ramp that is inclined at an angle θ ⁰ is a) g cos θ ⁰ c) g tan θ ⁰ b) g sin θ ⁰ d) g e) zero 9. Calculate the velocity of a satellite that is in a circular orbit with a radius of 7.5 x 10 7 m measured from the center of the earth. a) 4800 m/s d) 1680 m/s b) 2940 m/s e) 7470 m/s c) 2300 m/s 10. The relationship between the gravitational force of attraction, FG, of two objects on one another and their separation distance r is best illustrated by which of the following graphs? a) A b) B c) C d) D e) E 11. A kg baseball is pitched toward a batter at 30 m/s. The ball is hit and goes back toward the pitcher at 20 m/s. If the ball and the bat were in contact for s, what force did the bat exert on the ball? a) 80 N b) -80 N c) 40 N d) -40 N e) None of the above 12. A hockey goalie standing on a frictionless surface catches a g puck travelling at 95.0 km/h. After catching the puck, the goalie is moving at 8.90 cm/s. The mass of the goalie (including equipment) is a) 75.2 kg b) 79.8 kg c) 80.1 kg d) 84.2 kg e) 91.7 kg 13. A 19.1-kg block travels 28.8 m against a frictional force of 8.22 N. The thermal energy produced is: a) 184 J d) 237 J b) 237 N e) not enough information c) 362 J 3

4 14. A car, travelling along a horizontal road, has kinetic energy of J. The driver slows the car to half of its original speed. What is the new kinetic energy of the car? a) J d) J b) J e) J c) J 15. Consider the following statements about the collision of two bodies: I) The total kinetic energy remains constant throughout the collision II) The total momentum remains constant throughout the collision III) The total energy remains constant throughout the collision Which of the above statement(s) is/are true for all collisions? a) III only b) I and II only c) I and III only d) II and III only e) I, II, and III 16. A planet being orbited by a satellite collapses to half its original radius while maintaining the same mass. The period of orbit will increase by a factor of a) 0.35 d) 2.0 b) 0.50 e) 2.8 c) When a negatively charged object makes contact with a neutral object, the negative charge is shared between the two objects, and the objects both become negatively charged. This is an example of a) charging by friction b) charging by contact c) induced charge separation d) Coulomb s law e) charging by induction 18. Three spheres are equal distances apart as shown below. Spheres X and Y are held in fixed positions but sphere Z is free to move. Which path will sphere Z follow? a) A b) B c) C d) D e) E 19. How long will it take a 12.0-V battery to provide J of energy to a load in a circuit with a current of 0.30 A? a) 50 s c) s b) s d) s e) s 4

5 20. A bar magnet is placed on a flat surface, with its N-pole on the right side. If a compass is placed near the N-pole, the compass needle should point a) to the left b) to the right c) up d) down e) in circles 21. The following diagram shows the current direction in a straight conductor. The magnetic field lines around the conductor should be drawn as a) concentric clockwise circles down around the front of the conductor b) concentric counterclockwise circles up around the front of the conductor c) straight lines in the same direction as the current d) straight lines in the opposite direction to the current e) straight lines radiating out from the conductor 22. F M The direction of the positively charged particle s velocity according to the diagram above must be: a) to the left b) to the right c) upward d) out of the page, perpendicular to the page e) into the page, perpendicular to the page 23. The period of a pendulum depends on which of the following? a) amplitude of the vibration b) mass of the bob c) length of the pendulum d) density of the bob e) all of the above 24. Light must travel as a transverse wave because it a) can be polarized b) can travel through a vacuum c) slows down and bends toward the normal d) undergoes diffraction e) disperses when travelling through a glass prism 5

6 25. Flying in a fast rocket ship at a speed of 0.82c, you observe both your watch and a clock outside. Which of the following statements is true? a) Time will appear to be the same for you but slower outside. b) Time will appear slower for you but normal outside. c) Neither clock runs slow. d) Both clocks run slow. e) none of the above 6

7 Part B: Short Answer: Answer clearly and succinctly. Draw a small diagram if necessary.. (All Questions are 3 marks each, Communication: 15) 1. What is the difference between Work and Energy? Give an example of each. 2. Clearly compare Gravitational Force with Electrostatic force. 3. Draw the Magnetic field lines for the given diagram. S N What is the cause of Diffraction? 5. Briefly, explain the Photoelectric Effect. 7

8 d) Part C: Problem Solving. Complete the following Two questions. Clearly Write Your Solution in the space provided including all formulas and calculations. Clearly write your Final Answer with a reasonable number of significant digits and units in the Bottom Space Provided. If the box is blank, no mark will be given (6 marks each, Thinking & Inquiry: 12) 1. A baseball is hit by a bat and given a velocity of 40.0 m/s at an angle of 30.0⁰ above the horizontal. The height of the ball above the ground upon impact with the bat is 1.0 m. a) What maximum height above the ground does the ball reach? b) A fielder is m from home plate when the ball is hit and the ball s trajectory is directly at him. If he begins running at the moment the ball is hit and catches the ball when it is still 1.0 m above the ground, how far does he run to catching the ball? c) How fast (average speed) does he run in order to catch the ball? a) b) c) (6 Marks) Answer 8

9 2. A stationary box of mass 4.2 kg is given a push of 8.2 N [S] along a surface where the frictional force acting is 5.8 N [N]. The push lasts for 3.6 s and then the box is allowed to slide on its own until it comes to rest. (a) Draw free-body diagrams to show the box being pushed and sliding on its own. (b) Determine the acceleration of the box as it is being pushed. (c) Calculate the speed of the box just as the push ceases. (d) Determine the acceleration of the box as it is sliding on its own. a) b) c) d) 9 (6 Marks) Answer

10 Part C: Complete only TWO out of the next Three following Questions. Clearly Write Your Solution in the space provided including all formulas and calculations. Clearly write your Final Answer with a reasonable number of significant digits and units in the Bottom Space Provided. If the box is blank, no mark will be given (Application: 10) 3. A 75 kg crate is pushed up a ramp at an angel of 25⁰. Given that the coefficient of Kinetic friction is.35, what force must be applied to the crate in order to accelerate the crate by.5 m/sec 2? (5 marks) (5 Marks) Answer 10

11 4. Consider the following arrangement with A = 15.0 kg and B = 10.0 kg. Find the a) acceleration of the system and the b) tension in the connecting cord. The coefficient of static friction is.15. Please draw free-body diagrams to accompany your answer. (5 marks). a) b) (5 Marks) Answer 11

12 5. An object of mass 6.0 kg is whirled around in a vertical circle on the end of a 1.0 m long string with a constant speed of 8.0 m/s. Include a free-body diagram for each of the following questions: a) Determine the maximum tension in the string, indicating the position of the object at the time the maximum tension is achieved. b) What is the minimum speed the object could be rotated with and maintain a circular path? c) If the object is rotated with the same speed (8.0 m/s) on a horizontal surface, what is the tension in the string if the string is parallel to the surface? (5 marks) 12 a) b) c) (5 Marks) Answer

13 Part C: Problem Solving. Only do Two out of Three questions. Clearly Write Your Solution in the space provided including all formulas and calculations. Clearly write your Final Answer with a reasonable number of significant digits and units in the Bottom Space Provided. If the box is blank, no mark will be given (Communication: 8) 6. A 1200 kg automobile traveling with a velocity of 65 km/h [35º N of E] makes a completely inelastic collision with an identical automobile traveling with a velocity of 32 km/h [45 ºS of W] What is the magnitude and direction of the velocity of the cars after the collision? (4 marks) (4 Marks) Answer 13

14 7. A 60-kg person on in-line skates is standing at rest at the top of a ramp. The ramp is 10 m high and 20 m long. She allows herself to roll down the ramp without pushing off. The total frictional force is 100 N. How much kinetic energy 20 m will the skater have acquired when she 10 m reaches the bottom of the ramp? (4 marks) (4 Marks) Answer 8. Mercury has a radius of m and an escape speed of 4.13 km/s. What is the mass of Mercury? (4 marks) 14 (4 Marks each) Answer

15 Part F: Problem Solving. Complete only One out of the next Two following Questions. Clearly Write Your Solution in the space provided including all formulas and calculations. Clearly write your Final Answer with a reasonable number of significant digits and units in the Bottom Space Provided. If the box is blank, no mark will be given (5 marks each; Thinking and Inquiry: 5) 9. A neon laser emits a beam of 742nm of red light. The beam is directed onto two pieces of optical glass pieces of optical glass which are sandwiched together. If the incident laser light to the top piece of glass (n=1.91) is 35 from the normal, what is the refracted angle of the beam leaving the bottom piece of glass (n=1.50) from the normal, as shown below: (4 marks) 35 n=1.91 n=1.50 Top piece Bottom piece θ=? (5 Marks) Answer 15

16 10. A student creates a two-point source interference pattern in a ripple tank with two sources operating in phase and records the following information: n = 4, λ = 37.5 mm, L = 1.25 m, d = 24 cm. Calculate x (5 Marks) Answer

17 Name Period Answer Sheet 1 (A) (B) (C) (D) (E) 2 (A) (B) (C) (D) (E) 3 (A) (B) (C) (D) (E) 4 (A) (B) (C) (D) (E) 5 (A) (B) (C) (D) (E) 6 (A) (B) (C) (D) (E) 7 (A) (B) (C) (D) (E) 8 (A) (B) (C) (D) (E) 9 (A) (B) (C) (D) (E) 10 (A) (B) (C) (D) (E) 11 (A) (B) (C) (D) (E) 12 (A) (B) (C) (D) (E) 13 (A) (B) (C) (D) (E) 14 (A) (B) (C) (D) (E) 15 (A) (B) (C) (D) (E) 16 (A) (B) (C) (D) (E) 17 (A) (B) (C) (D) (E) 18 (A) (B) (C) (D) (E) 19 (A) (B) (C) (D) (E) 20 (A) (B) (C) (D) (E) 21 (A) (B) (C) (D) (E) 22 (A) (B) (C) (D) (E) 23 (A) (B) (C) (D) (E) 24 (A) (B) (C) (D) (E) 25 (A) (B) (C) (D) (E) 17

18 SPH 4U FORMULA SHEET v = d/t v av = d / t a = v / t v 2 = v 1 + a t v 2 2 = v a d d = v 1 t + ½ a t 2 d = (v 1 + v 2) t d = v 2 t ½ a t 2 2 Time of flight: t = 2v 1sin Horizontal Range: d h = v 2 1 sin2 g g Constants: g = 9.8 m/s/s G = 6.67 x N.m 2 /kg 2 Me = 5.98 x kg a c = v 2 /r = 4 2 rf 2 = 4 2 r/t 2 Fc = mv 2 /r = 4 2 mrf 2 = 4 2 mr/t 2 re = 6.38 x 10 6 m F g = G m 1 m 2 F g = m g F net = m a r 2 F f = F N d v = v 1 t sin + ½ g t 2 d h = v 1 t cos W = F d E k = ½ mv 2 E g = mg h E e = ½ kx 2 F = kx T = 2π m k p = mv j = p = F. t E k = p 2 /2m p = (2mE k) Elastic Collision: v 1 = (m 1 m 2).v 1 v 2 = 2m 1.v 1 (m 1 + m 2) (m 1 + m 2) g = GM/r 2 v = GM r C s = GM r T E g = -GMm/r ΔE g = GMm GMm r2 r1 v esc = 2 GM r Constants: e/m = 1.76 x C/kg k = 9.0 x 10 9 N.m 2 /C 2 e = x C melectron = 9.11 x kg mproton = 1.67 x kg mα= 6.65 x kg μ = 4π F e = kq 1q 2/r 2 = F e/q = kq/r 2 [point charge] E e = kq 1q 2/r V = kq 1/r E = qv q = Ne F M = qvb sin = V/d (parallel plates) e/m = /B 2 r NI L B 0 F = BILsin I B 0 2 r NI B 0 2r v = f v 1/v 2 = 1/ 2 = sin i / sin R = 1n 2 ev = x J P ns 1 P ns 2 = (n- ½) = x d/l = w y/l sin n = n /w [dark bands] sin n = (n + ½) /w [bright bands] h = x J sec 2 ts tm Lm Ls 2 2 v 1 c 2 1 c v m m 0 2 v 1 c E = mc 2 E = hf E k = hf W 2 18