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. Part A: Multiple-Choice Questions and
Part B: 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: 3 hours
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PHY-500.A05  Student Booklet
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PHY-500.A05  Student Booklet
Part A
Multiple-Choice Questions
Questions 1 to 10
Answer all questions in the Answer Booklet.
Question 1
Several phenomena of light are listed below.
1.
2.
3.
4.
The reflection of the sun on the calm water of a lake
The page you are reading right now
The reflection of a person on a chrome kettle
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
Question 2
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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Question 3
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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Question 4
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
Position
(m)
10
5
Time (s)
0
2
4
-5
-10
Which of the following, Velocity versus Time graphs, represents the velocity of the cart as a
function of time?
Velocity versus Time
A)
B)
v (m/s)
v (m/s)
10
10
5
5
0
2
-5
0
4
t (s)
-10
C)
D)
10
5
5
-10
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2
4
t (s)
v (m/s)
10
-5
4
t (s)
-10
v (m/s)
0
2
-5
2
4
t (s)
0
-5
-10
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Question 5
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
A)
a (m/s2)
Jonathan’s
car
B)
a (m/s2)
t (s)
t (s)
George’s
car
C)
George’s
car
Jonathan’s
car
D)
a (m/s2)
a (m/s2)
George’s
car
t (s)
Jonathan’s
car
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Jonathan’s
car
t (s)
George’s
car
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Question 6
A Pulley System with a weight and a cart has been set up in the laboratory. A 5.50 N weight is
suspended from the pulley and attached to the cart, which has a mass of 1.150 kg. 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
1.150 kg
5.50 N
What is the acceleration of the cart?
A)
0 m/s2
B)
3.2 m/s2
C)
4.8 m/s2
D)
9.8 m/s2
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Question 7
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 4.0 N
at 0° and a weight of 3.0 N 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)
5.0 N at 57°
B)
5.0 N at 217°
C)
5.0 N at 233°
D)
7.0 N at 90°
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Question 8
Ginette applies a force of 20.0 N 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)
4a
D)
5a
Question 9
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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Question 10
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)
8.0
14.0
28.0
35.0
Spring Extension
(m)
0.016
0.028
0.056
0.070
What is the elastic potential energy of the spring when weighing the fish with a weight of 35.0 N?
A)
2.0  10-3 J
B)
1.2 J
C)
2.5 J
D)
5.0  102 J
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Part B
Constructed-Response Questions
Questions 11 to 25
Answer all questions in your Answer Booklet.
Question 11
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.
Wall
Small
mirror
Ground
Will Charlotte be able to see her entire body’s reflection in the mirror?
Explain your answer.
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Question 12
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.
Air
8
30
Diamond
Zircon
75
20
Which crystal has the larger index of refraction? Provide mathematical calculations to support
your answer. Explain what a “larger index of refraction” signifies scientifically
Question 13
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
60
Air
Glass
Ray
60
60
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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Question 14
Sondus is studying the characteristics of images produced in an optical system. She constructs
the optical system below.
Optical System
Object
F’
a)
In your Answer Booklet, complete the ray diagram.
b)
What are the characteristics of the image?
F
Question 15
Estelle places an object in front of a concave mirror which has a focal length of 7.50 cm. 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 20.0 cm from the mirror, and that its height is
10.0 cm.
Determine the location of the object with respect to the mirror.
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Question 16
Yves has a mass of 40.0 kg. From rest, he slides down a slide which is 10.00 m long. The
height of the slide is 5.00 m and it forms an angle of 30° with the horizontal.
Frictional forces are negligible.
The diagram below illustrates the situation.
40.0 kg
10.00 m
5.00 m
30
a)
Determine the kinetic energy of the child at the base of the slide.
b)
What is his velocity when he reaches the water?
Question 17
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 581.0 km/h.
The train is travelling at maximum speed when the conductor sees a grizzly bear on the train
track at a distance of 1200.0 m 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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Question 18
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 75.0 km/h while the
cheetah can maintain a speed of 110 km/h. They are 200.0 m apart.
The diagram below illustrates the situation.
200.0 m
v = 110.0 km/h
v = 75.0 km/h
How much time will it take, in seconds, for the cheetah to catch the gazelle?
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Question 19
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 1.60 s.
Frictional forces are negligible.
The diagram below illustrates the situation.
t = 1.60 s
?m
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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Question 20
Adrian wants to hit a target that is 6.00 m in front of him. He throws the ball horizontally from a
height of 1.50 m.
The diagram below illustrates the situation.
v = ? m/s
1.50 m
Target
6.00 m
At what velocity, in m/s, must the ball be thrown in order to hit the target?
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Question 21
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 150 kg. Justin places
the block on his sleigh and pulls on the rope with a force of 400 N at an angle of 35° with the
horizontal. The sled accelerates at 1.85 m/s2.
The diagram below illustrates the situation.
400 N
150 kg
35
a = 1.85 m/s2
What is the force of friction on the surface of the snow?
Question 22
Gregorio stores his lawnmower, which has a mass of 55.0 kg, 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 10.0 N.
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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Question 23
A circus performer is suspended from two cables preparing for his act. Cable A provides a
tension of 475 N and forms an angle of a 40° with the horizontal. Cable B forms an angle of 42°
with the horizontal. He has a mass of 65.0 kg.
The diagram below illustrates the situation.
Cable A
Cable B
Tension = 475 N
Tension = ?
42
40
65.0 kg
What is the tension in cable B?
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Question 24
The laws of physics play an important role in everyday activities. Two situations are described
below.
Situation 1:
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.
Situation 2:
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.
Use Newton's laws to explain each of the situations.
Question 25
Regis goes to the water slides at an amusement park on a hot summer day. He approaches a
loop with a velocity of 12.0 m/s. The loop has a diameter of 5.00 m. He has a mass of 100 kg.
Frictional forces are negligible in this system.
v = 12.0 m/s
5m
100 kg
Does Regis have sufficient mechanical energy to travel through the loop?
The explanation must be supported by calculations.
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Appendix
Formulas and Quantities
EQUATIONS
OPTICS
n1 sin  1 = n2 sin  2
M = hi
ho
d
M  hi =  i
do
ho
1 1
1

+
f do di
c
n=
v
MECHANICS
v av =
a=
d
t
E g = mgh
1
2
E k = mv
2
v
t
1
2
E e = k d 
2
v  v2 
d =  1
t
 2 
Ee =
1
d = v 1 t + at 2
2
F = ma
v 2 = v 1 + at
F g = mg
v 2 = v 1 + 2ad
2
1
2
k x 
2
2
Fg =
P=
W
t
Gm1m2
d2
F = kx
W = Fd
F e = kd
Fc =
mv 2
r
MATHEMATICS
x=
 b  b 2  4ac
2a
PHYSICAL CONSTANTS
SYMBOL
QUANTITY
VALUE
c
Speed of light in a vacuum
3.00  108 m/s
g
Acceleration due to gravity (earth)
9.8 m/s2
G
Gravitational constant
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6.67  10 11 =
Nm 2
kg 2
Appendix