/ Evaluation Situation
Physics
Theory Examination
June 2013

Physics

Secondary 5

Student Booklet

/ PHY-500.A05 § Student Booklet
Instructions
1. Write the required information on the title page of the Answer Booklet.
2. This examination consists of two parts. PartA: Multiple-Choice Questions and PartB: Constructed-Response Questions.
3. Answer all questions in the Answer Booklet, showing all your work and units. The rules of significant figures should be applied to questions 18 and 20.
4. You are permitted to use writing instruments and calculators 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.
Students may not share their calculator or communicate between calculators.
5. You may refer to the information provided in the Appendix of the Student Booklet. The use of any other reference material is strictly forbidden.
6. Hand in the Student Booklet and the Answer Booklet at the end of the examination.
Note: Each question is worth four marks.
Figures are not necessarily drawn to scale.
Time: 3hours

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/ PHY-500.A05 § Student Booklet
PartA
/ Multiple-Choice Questions
Questions1to10
Answer all questions in the Answer Booklet.

Question1

Several phenomena of light are listed below.

1. The reflection of the sun on the calm water of a lake

2. The page you are reading right now

3. The reflection of a person on a chrome kettle

4. The reflection from a lake on a windy day

Which of the statements above refers to specular reflection?

A) 1 only

B) 1, 2 and 3

C) 1 and 3

D) 2 and 4

Question2

Total internal reflection occurs...

1. When a beam of light passes from a medium with a high refractive index to a medium with a low refractive index (n1>n2).

2. When a beam of light passes from a medium with a low refractive index to a medium with a high refractive index (n1<n2).

3. When the angle of incidence is greater than the critical angle (θi>θc).

4. When the angle of incidence is less than the critical angle (θi<θc).

Which of the statements above correctly explains total internal reflection?

A) 1 and 3

B) 1 and 4

C) 2 and 3

D) 2 and 4

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Question3

Four physics students have performed an experiment in the laboratory on the nature of images obtained by an optical system. They have presented their conclusions below.

Antoine: A real image can be projected onto a screen while a virtual image cannot be projected onto a screen.

Isabelle: A virtual image is an image that cannot be seen while a real image can be seen.

Jacques: A real image is always larger than the object and a virtual image is always smaller than the object.

Emilie: A real image is formed by the intersection of real rays which converge, while a virtual image is formed by the extension of light rays which diverge.

Which of the students have correctly distinguished between a real image and a virtual image?

A) Isabelle and Jacques

B) Isabelle and Emilie

C) Antoine and Jacques

D) Antoine and Emilie

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Question4

Marylou has a summer job at the Pierre Elliott Trudeau International Airport in Montreal. Her job is to transport luggage, on a cart, between the terminal and the aircraft.

The graph below demonstrates the trajectory of her cart.

Position versus Time

Which of the following, Velocity versus Time graphs, represents the velocity of the cart as a function of time?

Velocity versus Time

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Question5

Jonathan and George are driving from Montreal to Saint-Sauveur for a ski trip. They are travelling north on Highway 15 in their respective cars. At one point, Jonathan increases his speed to pass George. At the same time, George decreases his speed, because he realizes that he must stop at the next exit for gas.

Which of the following, Acceleration versus Time graphs, correctly represents their trajectory?

Acceleration versus Time

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Question6

A Pulley System with a weight and a cart has been set up in the laboratory. A 5.50N weight is suspended from the pulley and attached to the cart, which has a mass of 1.150kg. When the cart is released, the suspended weight falls. This drives the cart forward along a horizontal trajectory. Frictional forces are negligible in this system.

The diagram below illustrates the system.

Pulley System

What is the acceleration of the cart?

A) 0m/s2

B) 3.2m/s2

C) 4.8m/s2

D) 9.8m/s2

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Question7

A Force Table is used to suspend weights which are attached to a pulley system. The direction of the various forces can be determined by a scale drawn on the Force Table. A weight of 4.0N at 0° and a weight of 3.0N at 90° are suspended from the Force Table.

The diagram below depicts a force table.

Force Table

This grid can be used to graphically represent the situation.

What is the equilibrant force of this system?

A) 5.0N at 57°

B) 5.0N at 217°

C) 5.0N at 233°

D) 7.0N at 90°

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Question8

Ginette applies a force of 20.0N on an object with a mass of m1. This causes the object to accelerate. She then applies the same force on a second object with a mass of m2 which is five times greater than m1.

Which of the following describes the acceleration of the mass m2 in relation to the acceleration of mass m1?

A) a / 5

B) a

C) 4 a

D) 5 a

Question9

A qualitative relationship can be established between the power of a system, the work done and the time taken to do the work.

Which of the following qualitatively describes this relationship?

A) Increasing the power of a system increases the time it takes to do the work.

B) Increasing the power of a system decreases the time it takes to do the work.

C) Decreasing the power of a system decreases the time it takes to do the work.

D) Decreasing the power of a system has no effect on the time it takes to do the work.

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Question10

The spring of a Dynamometer (Newton Scale) is stretched when weighing fish of different masses. A dynamometer is a mechanical device used to measure weights or masses as well as forces.

The diagram below illustrates the situation.

Dynamometer (Newton Scale)

The following table provides the spring extension in metres for fish of varying weights.

Weight of fish
(N) / Spring Extension
(m)
8.0 / 0.016
14.0 / 0.028
28.0 / 0.056
35.0 / 0.070
What is the elastic potential energy of the spring when weighing the fish with a weight of 35.0N?

A) 2.0´10-3J

B) 1.2J

C) 2.5J

D) 5.0´102J

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PartB / Constructed-Response Questions
Questions11to25
Answer all questions in your Answer Booklet.

Question11

Charlotte hangs a small plane mirror on the wall in front of her. She wonders if she can see her entire height of 1.60 m (from head to toe) when she is standing in front of the mirror.

The diagram below illustrates the situation.

Will Charlotte be able to see her entire body’s reflection in the mirror?
Explain your answer.

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Question12

Mostafa is measuring the refraction of light in the laboratory. He performs his experiment on a diamond crystal and a zircon crystal and collects the data shown below.

The diagram below illustrates the experiment.

Which crystal has the larger index of refraction? Provide mathematical calculations to support your answer. Explain what a “larger index of refraction” signifies scientifically

Question13

An experiment is performed on a glass prism with a refractive index of 1.55. A ray of light from air with a refractive index of 1.00, enters the glass prism, as shown in the diagram below, and is refracted. The diagram below illustrates the experiment.

Glass Prism

Draw the trajectory of the ray within the prism and to its exit into the air. Your procedure should include mathematical calculations.

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Question14

Sondus is studying the characteristics of images produced in an optical system. She constructs the optical system below.

Optical System

a) In your Answer Booklet, complete the ray diagram.
b) What are the characteristics of the image?

Question15

Estelle places an object in front of a concave mirror which has a focal length of 7.50cm. She observes that a real image of the object was formed. She performs measurements on the resulting image. She finds that it is located at 20.0cm from the mirror, and that its height is 10.0cm.

Determine the location of the object with respect to the mirror.

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Question16

Yves has a mass of 40.0kg. From rest, he slides down a slide which is 10.00m long. The height of the slide is 5.00m and it forms an angle of 30° with the horizontal.

Frictional forces are negligible.

The diagram below illustrates the situation.

a) Determine the kinetic energy of the child at the base of the slide.
b) What is his velocity when he reaches the water?

Question17

The JR-Maglev ML01 train is the first Canadian train with electromagnetic levitation. It travels between Montréal and Vancouver, and can reach a speed of 581.0km/h.

The train is travelling at maximum speed when the conductor sees a grizzly bear on the train track at a distance of 1200.0m away. She immediately applies the brakes and stops just in front of the bear.

a) What is the deceleration of the train in m/s2?
b) How much time will it take, in seconds, for the train to come to a complete stop in front of the grizzly bear?

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Question18

Henry is participating in an African Safari. The tour guide asked the driver to stop because he notices a cheetah chasing a gazelle.

The guide tells the participants that the gazelle can maintain a speed 75.0km/h while the cheetah can maintain a speed of 110km/h. They are 200.0m apart.

The diagram below illustrates the situation.

How much time will it take, in seconds, for the cheetah to catch the gazelle?

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Question19

On a school trip to Paris, Mario drops a marble from an unknown height as he is climbing the Eiffel Tower. It reaches the ground in 1.60s.

Frictional forces are negligible.

The diagram below illustrates the situation.

a) What is the height of the marble, in metres, when it is dropped?
b) What is the velocity of the marble?

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Question20

Adrian wants to hit a target that is 6.00m in front of him. He throws the ball horizontally from a height of 1.50m.

The diagram below illustrates the situation.

At what velocity, in m/s, must the ball be thrown in order to hit the target?

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Question21

Justin and his classmates participate in the ice sculpture competition during their school carnival.

Each team is responsible for transporting an ice block that has a mass of 150kg. Justin places the block on his sleigh and pulls on the rope with a force of 400N at an angle of 35° with the horizontal. The sled accelerates at 1.85m/s2.

The diagram below illustrates the situation.

What is the force of friction on the surface of the snow?

Question22

Gregorio stores his lawnmower, which has a mass of 55.0kg, in his garage. In order to take the lawnmower out of his garage he must push it up a slope which forms an angle of 25° with the horizontal. The slope provides a force of friction of 10.0N.

a) Draw a free body diagram of the forces acting on the lawnmower. Include all the forces acting on the lawnmower.
b) What would be the acceleration of the lawnmower if Gregorio accidently released the lawnmower as he was pushing it up the slope?

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Question23

A circus performer is suspended from two cables preparing for his act. CableA provides a tension of 475N and forms an angle of a 40° with the horizontal. CableB forms an angle of 42° with the horizontal. He has a mass of 65.0kg.

The diagram below illustrates the situation.

What is the tension in cableB?

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Question24

The laws of physics play an important role in everyday activities. Two situations are described below.

Situation1:

Arianne went grocery shopping with her mother.Her mother placed the grocery bags on the back seat of the car. Arianne remembered a discussion that took place in her physics class. She told her mother that the grocery bags should be placed in the trunk of the car. Since the grocery bags contain cans it could be very dangerous if a car accident occurred.

Situation2:

Zachary is watching a swim competition at his community swimming pool. He wonders how the arm movements of the swimmers allow them to move forward in the water.