Instructions. 2. This examination consists of two parts. Part A: 10 multiple-choice questions and Part B: 15 constructed-response questions.

Transcription

1 PHY-500.A09! Question Booklet Instructions 1. Write the required information on the title page of the Student Booklet. 2. This examination consists of two parts. Part A: 10 multiple-choice questions and Part B: 15 constructed-response questions. 3. Answer all questions in the Student Booklet, showing all your work and units. 4. You are permitted to use writing instruments and a calculator with or without graphic display designed mainly to perform mathematical calculations. Before the exam starts, data and programs stored in the calculator s memory must be deleted. Using a calculator containing stored data or programs will be considered as cheating. You may not share your calculator with other students. Communication in any form between calculators is forbidden. Other electronic devices that have a calculator function are strictly forbidden. 5. You may refer to the information provided in the Appendix of the Question Booklet. The use of any other reference material is strictly forbidden. 6. Hand in the Question Booklet and the Student Booklet at the end of the examination. NOTE: Each question is worth four marks. Figures are not necessarily drawn to scale, unless stated. Significant figures will be evaluated in question 25 only. Time: 3 hours BIM! GRICS Page 1

2 PHY-500.A09! Question Booklet Part A Multiple-Choice Questions 1 to 10 Answer all questions in your Student Booklet. 1. The picture below shows an image obtained in a plane mirror. Image in Plane Mirror The statements below are descriptions of real or virtual images. 1. The rays forming the image carry energy 2. The image is formed where light rays appear to converge 3. The image cannot be projected onto a screen 4. The image is formed where light rays converge Which of these characteristics apply to the type of image formed in the plane mirror? A) 1 and 2 B) 1 and 4 C) 2 and 3 D) 3 and 4 BIM! GRICS Page 2

3 PHY-500.A09! Question Booklet 2. A light ray is sent towards different shapes of clear glass, as shown in the diagrams below. In which of the diagrams is the ray emergent from glass into air, parallel to the incident ray from air to glass? A) 1 and 2 B) 1 and 4 C) 2 and 3 D) 3 and 4 BIM! GRICS Page 3

4 PHY-500.A09! Question Booklet 3. The statements below describe either light rays or light waves. 1. Made of photons 2. Can be absorbed by transparent media 3. Shows the propagation of an energy wave Which of the above statements apply to a light ray? A) 1 and 2 B) 1 and 3 C) 2 and 3 D) 3 only BIM! GRICS Page 4

5 PHY-500.A09! Question Booklet 4. Alexa and Jennifer were riding the Minirail at La Ronde. They saw their friend Lydia on the ground below. As Alexa waved hello, she accidently dropped her water bottle out of the Minirail car. Minirail Neglecting air resistance, which diagram below best describes the trajectory of the water bottle from Lydia s point of view? A) B) C) D) BIM! GRICS Page 5

6 PHY-500.A09! Question Booklet 5. A boy is walking his dog around his neighbourhood. He leaves from his house and takes the following path: two blocks north, one block west, one block south, one block north and then two blocks east. Distance Travelled and Displacement Legend: 1 square = 1 block Which of the figures above could represent the boy s distance travelled and displacement? Distance Travelled Displacement A) 1 3 B) 1 4 C) 2 3 D) 2 4 BIM! GRICS Page 6

7 PHY-500.A09! Question Booklet 6. During a football game, a 90 kg player is running towards a 130 kg player. They continue on their respective paths until they collide with one another. Which of the following statements correctly describes what occurs as a result of the impact? A) The 90 kg player will experience a greater acceleration as a result of the collision because he has less mass. B) The 130 kg player will experience a greater acceleration as a result of the collision because this player has a higher inertia. C) The 130 kg player will exert a greater force on the 90 kg player because he has a greater mass. D) The 90 kg player will exert a greater force on the 130 kg player because this player has a higher inertia. BIM! GRICS Page 7

8 PHY-500.A09! Question Booklet 7. A g apple falls from a branch 4.0 m above the ground. The apple reaches a velocity of 8.0 m/s the instant before it hits the ground. What is the magnitude of the force of friction on the apple? Air resistance acts on the apple. A) B) C) D) BIM! GRICS Page 8

9 PHY-500.A09! Question Booklet 8. Three children want to play with a toy at the same time. They are pulling the toy in different directions as shown in the diagram below. Legend: 1 block = 1 N Which of the diagrams below represents the resultant force acting on the toy? A) B) C) D) BIM! GRICS Page 9

10 PHY-500.A09! Question Booklet 9. Hooke Industries produces many different types of springs. They are testing their latest batch for quality control. One of the tests involves compressing a spring 25.0 cm. The spring constant is 45.0 N/m. Before After What is the spring potential energy of the spring after it has been compressed? A) B) C) D) BIM! GRICS Page 10

11 PHY-500.A09! Question Booklet 10. Most elevators have a maximum mass capacity listed near their control panel. A hospital s service elevator has a maximum passenger capacity of. The service elevator travels from the first floor to the pediatric ward on the 5 th floor in 1.50 minutes. What is the power generated by the elevator s motor when it travels from the first floor to the fifth floor pediatric at maximum passenger capacity? A) B) C) D) Part B Constructed-Response Questions 11 to 25 Answer questions 11 to 25 in your Student Booklet, showing all work. BIM! GRICS Page 11

12 Part B Constructed-Response Questions 11 to 25 Show all the work needed to solve the problem You will be given no marks if you provide the right answer without showing your work. However, you will be given part marks for work that is partially correct. Significant figures will be evaluated in question 25 only. 11. A security guard is placed at the front entrance of a store to watch customers as they enter and exit the store. It is also the responsibility of this security guard to keep an eye on the customers while they are shopping behind him. To do this, he uses the two mirrors set up as show in the diagram below. Using the mirrors, can the security guard see all of the customers in the store? Justify your answer by drawing a complete ray diagram. The security guard can " OR " cannot see all the customers in the store. (Check one box) BIM! GRICS Page 2

13 12. Optical fibre cables are used to relay light. These types of cables can be used to provide a high-speed data connection between different parts of an office building. Optical fibre consists of a core and a cladding layer, selected for total internal reflection due to the difference in the refractive index between the two media. (n cladding = 1.44) Optical Fibre Total internal reflection between the two media is possible at an angle of incidence of What is the index of refraction of the cable s inner core? Show all your work. The index of refraction of the cable s inner core is BIM! GRICS Page 3

14 13. A slide projector is used to show different works of art in class. The lens used to project the images is made of crown glass with an index of refraction of The thickness of the lens is 8.00 mm. The slide is placed 35.0 mm from the lens. The projector produces an image on a screen placed 4.00 m from the lens. Clipart.com a) How long will it take for the light to travel through the lens? Show all your work. It will take for the light to travel through the lens. b) What is the focal length of the lens? Show all your work The focal length of the lens is BIM! GRICS Page 4

15 14. Lucas is walking with his son, who is fascinated with the shiny chrome hubcaps on one of the cars parked on the street. The hubcap which they are looking at curves outward, similar to a diverging mirror. Draw a complete ray diagram to show an image formed by the reflective surface BIM! GRICS Page 5

16 15. Maria is using a magnifying glass to read the fine print of a contract she is going to sign. With the magnifying glass she is using, the letters have a virtual magnification of 2.5. The converging lens of the magnifying glass has a focal length of 25.0 cm. Termination of Lease Agreement How far is the image from the paper? Show all your work. The distance of the image from the paper is BIM! GRICS Page 6

17 16. A skateboarder is coasting along a flat road. She slows from 8.0 m/s to 4.0 m/s over a distance of 18 m. How long would it take her to travel the distance of 18 m? Show all your work. It will take her to travel the distance of 18 m BIM! GRICS Page 7

18 17. Isabella and Joshua were each playing with a ball in the school yard. Holding their ball at the same height of 1.2 m above the ground, Joshua threw his ball vertically upward and Isabella dropped hers one second later. Both balls landed on the ground at the same time. What was the initial velocity of Joshua s ball? Show all your work. The initial velocity of Joshua s ball was BIM! GRICS Page 8

19 18. A brick drops from a high scaffold. a) Sketch a distance as a function of time graph for the brick as it is falling b) Use the slope of the graph to describe the motion of the free-falling brick BIM! GRICS Page 9

20 19. A kg object slides from rest down a frictionless plane inclined at an angle of What is the magnitude of the displacement of the object in 3.0 s? Neglect resistance forces. Show all your work. The magnitude of the displacement of the object in 3.0 s is BIM! GRICS Page 10

21 20. A motorcyclist successfully jumped over a certain number of cars as shown in the diagram below. The motorcyclist travelled at a speed of 30.3 m/s off a ramp with an incline of The width of each car is 1.66 m. What was the maximum number of cars the motorcyclist jumped over? Neglect resistance forces. Show all your work. The motorcyclist jumped over cars BIM! GRICS Page 11

22 21. During a laboratory experiment, a cart is moving along the surface of a table. The apparatus is set up as shown below. A 1.00 kg mass is placed on the 1.35 kg cart. A kg mass is attached to the cart by a pulley system. This ensures that the applied force remains constant. The table exerts a force of friction of 1.25 N on the cart. What is the acceleration of the cart? Mass of the rope/cord is negligible. Show all your work. The acceleration of the cart is BIM! GRICS Page 12

23 22. Emma is spinning a ball on a string in a circular motion above her head. These motions are represented in the diagrams below. a) On the diagram below, draw and label the velocity and force vectors b) Explain your reasoning for the direction of the velocity and force vectors acting on the ball. Velocity vector: Force vector: BIM! GRICS Page 13

24 23. Two boys are attempting to restrain a horse by each pulling on a separate rope. However, the horse is still able to move forward, so the boys ask a friend for help. Forward What is the magnitude and direction of the force the third boy must apply to stop the horse from moving? Show all your work. The magnitude of the force applied by the third boy is. The direction of the force applied by the third boy is BIM! GRICS Page 14

25 24. Pendulums are used in seismographs to record the intensity of earthquakes. As the ground shakes the pendulum oscillates back and forth. The 0.30 m pendulum of a seismograph is held in a stationary position of 30.0 o from the horizontal. What is the maximum velocity the pendulum will attain? Show all your work. The maximum velocity attained by the pendulum is BIM! GRICS Page 15

26 25. During a laboratory experiment, a g mass was attached to a spring apparatus and another g mass was attached to a spring scale. The diagrams below show how much the springs were deformed, as indicated by Δx. Assume the initial position of each mass is at 0 cm. NOTE: Significant figures will be evaluated in this question. A. Spring Apparatus B. Spring Scale a) Observe the conventions regarding significant figures and give the uncertainty of the measurement to determine the deformation for each spring. The spring deformation in A is. The spring deformation in B is. b) Determine the spring constant for each spring. Show all your work The spring constant in A is. The spring constant in B is BIM! GRICS Page 16

27 PHY-500.A09! Question Booklet Formulas and Quantities EQUATIONS Appendix OPTICS MECHANICS MATHEMATICS PHYSICAL CONSTANTS SYMBOL QUANTITY VALUE c g g Speed of light in a vacuum Acceleration due to gravity (Earth) Gravitational field strength (Earth) 9.8 N/kg BIM! GRICS Appendix