Appendix E
For more information, see
the Table of Specifications.
Grade 12 Prototype Examination
Physics
Course Code 8213
Barcode Number
Month
Date of Birth
Day
Assigned I.D. Number
October 2006
Physics
Time & Two and One-Half Hours
Calculators may be used. Only silent hand-held calculators designed for mathematical
computations such as logarithmic, trigonometric, and graphing functions are permissible.
Computers, calculators with QWERTY keyboards, and electronic writing pads are not
allowed. Calculators that have built-in notes (definitions or explanations in alpha notation)
that cannot be cleared are not permitted. All calculators must be cleared of programs.
Do not spend too much time on any question. Read the questions carefully.
All items are multiple-choice questions which will be machine scored. Record your
answers on the Student Examination Form which is provided. Each question has four
suggested answers, one of which is better than the others. Select the best answer and
record it on the Student Examination Form as shown in the example below:
Example:
1. Three 12 ohm resistors are connected in series
across a 24 volt battery. The rate of current flow
through each resistor is
Answers:
A. 12 A
B. 6.0 A
C. 2.0 A
D. 0.67 A
Student Examination Form:
1.
A
B
C
D
Use an ordinary HB pencil to mark your answers on the Student Examination Form. If you
change your mind about an answer, be sure to erase the first mark completely. There
should be only one answer marked for each question. Be sure there are no stray pencil
marks on your answer sheet. If you need space for rough work, use the space in the
examination booklet beside each question.
Do not fold either the Student Examination Form or the examination booklet. Be
sure to complete the blue identification section of the Student Examination
Form.
Upon completion of the examination, place your Student Examination Form behind the
examination booklet and insert both in the same envelope. Be sure to seal the
envelope and complete the information requested on the face of the envelope.
(Some of the questions on this exam may have been reproduced in whole or in part with the permission of the
Minister of Education, Province of Alberta, Canada, 1997.)
i
(Physics, Prototype Exam)
(October 2006)
Physics
Physical constants that may be used for calculations:
Universal Gravitation Constant: G = 6.67 × 10−11 N ⋅ m2 / kg 2
One coulomb = 6.24 × 1018 elementary charges
e = 1.602 × 10-19 C
k = 2.31 × 10 −28 N ⋅ m2 /(elem. ch.)2
Constant in Coulomb’s Law:
k = 8.99 × 109 N ⋅ m2 / C2
Speed of light, c = 3.00 × 108 m / s
Electron volt, eV = 1.60 × 10 −19 J
1 kilowatt-hour = 3.6 MJ
K
Acceleration due to gravity (at the Earth’s surface), g = 9.80 m / s2 towards Earth’s centre
The following list of symbols indicates the symbols that have been adopted by the International
Committee for Weights and Measures for use in the world-wide metric system (SI). These symbols
are used throughout this test paper.
Unit
Symbol
Unit
Symbol
amperes
coulombs
hertz
joules
kilograms
metres
A
C
Hz
J
kg
m
newtons
ohms
seconds (time)
volts
watts
N
Ω
s
V
W
Conventions used for expressing direction in Vector Quantities
Example:
G
The direction of vector A can be expressed as:
[E 30° N] or [N 60° E] or [30° N of E] or [60° E of N]
Significant Digits:
A line over a zero digit indicates the level of significance. For example, 500 m
has 2 significant digits and 500 m has 3.
- ii (Physics, Prototype Exam)
(October 2006)
Physics Formulas
Kinematics and Dynamics
T=
1
f
T = 2π
m
k
T = 2π
A
g
c 2 = a 2 + b2
c2 = a2 + b2 − 2ab cosC
sin A sin B sin C
=
=
a
b
c
JG G
1G
d = v i t + at 2
2
G 1 G
G
d = (v i + v f )t
2
G
G Δd
v=
Δt
G
G
G
v f = v i + at
G
G Δv
a=
Δt
G
G
F = ma
Eg = mgh
W = ΔE
W = Fd
P = F(vav )
Ep =
v f 2 = v i 2 + 2ad
Mechanical Energy
Ek =
1
mv 2
2
W = Fd cos θ
P=
W
t
1 2
kx
2
Electricity
Q = Ne
V=
W
Q
Q
I=
t
V=
Fd
Q
R T = R1 + R 2 + R3 + ... + R n
P=
E
t
P = VI
F=
kQ1 Q2
d2
V = Ed
K
K F
E=
Q
E = VIt
V = IR
⎛L⎞
R = ρ⎜ ⎟
⎝A⎠
1
1
1
1
1
=
+
+
+ ... +
R T R1 R 2 R3
Rn
P = I2 R
P=
V2
R
Nuclear Physics
E = mc 2
E = hν
- iii (Physics, Prototype Exam)
(October 2006)
Periodic Table of Elements
1
18
1
H
2
He
Hydrogen
1.01
2
3
Li
4
Be
Lithium
6.94
Beryllium
9.01
11
Na
12
Mg
11
Atomic Number
Na
Atomic Symbol
Sodium
Element name
22.99
Average Atomic mass
13
14
15
16
17
Helium
4.00
5
B
6
C
7
N
8
O
9
F
10
Ne
Boron
10.81
Carbon
12.01
Nitrogen
14.01
Oxygen
16.00
Fluorine
19.00
Neon
20.18
13
Al
14
Si
15
P
16
S
17
Cl
18
Ar
Sodium
22.99
Magnesium
24.31
4
5
6
7
8
9
10
11
12
Aluminum
26.98
Silicon
28.09
Phosphorus
3
30.97
Sulfur
32.07
Chlorine
35.45
Argon
39.95
19
K
20
Ca
21
Sc
22
Ti
23
V
24
Cr
25
Mn
26
Fe
27
Co
28
Ni
29
Cu
30
Zn
31
Ga
33
As
34
Se
35
Br
36
Kr
Potassium
39.10
Calcium
40.08
Scandium
44.96
Titanium
47.87
Iron
55.85
Cobalt
58.93
Nickel
58.69
Copper
63.55
Zinc
65.41
Gallium
69.72
32
Ge
Germanium
72.64
Arsenic
74.92
Selenium
78.96
Bromine
79.90
Krypton
83.80
37
Rb
38
Sr
39
Y
40
Zr
41
Nb
44
Ru
45
Rh
46
Pd
47
Ag
48
Cd
49
In
50
Sn
51
Sb
52
Te
53
I
54
Xe
Rubidium
85.47
Strontium
87.62
Yttrium
88.91
Zirconium
91.22
Niobium
92.91
55
Cs
56
Ba
71
Lu
72
Hf
Cesium
132.91
Barium
137.33
Lutetium
174.97
87
Fr
88
Ra
Francium
(223)
Radium
(226)
103
Lr
57-70
*
89-102
**
Lawrencium
(262)
Vanadium Chromium Manganese
50.94
52.00
54.94
42
Mo
43
Tc
95.94
(98)
Ruthenium
101.07
Rhodium
102.91
Palladium
106.42
Silver
107.87
Cadmium
112.41
Indium
114.82
Tin
118.71
Antimony
121.76
Tellurium
127.60
Iodine
126.90
Xenon
131.29
73
Ta
74
W
75
Re
76
Os
77
Ir
78
Pt
79
Au
80
Hg
81
Tl
82
Pb
83
Bi
84
Po
85
At
86
Rn
Hafnium
178.49
Tantalum
180.95
Tungsten
183.84
Rhenium
186.21
Osmium
190.23
Iridium
192.22
Platinum
195.08
Gold
196.97
Mercury
200.59
Thallium
204.38
Lead
207.21
Bismuth
208.98
Polonium
(209)
Astatine
(210)
Radon
(222)
104
Rf
105
Db
106
Sg
107
Bh
108
Hs
111
Rg
113
Uut
Hassium
(269)
110
Ds
112
Uub
Bohrium
(264)
109
Mt
114 115 116
Uuq Uup Uuh
117
Uus
118
Uuo
(268)
(271)
(272)
(285)
(284)
(289)
(288)
(292)
(?)
60
Nd
61
Pm
62
Sm
63
Eu
64
Gd
65
Tb
66
Dy
67
Ho
68
Er
69
Tm
144.24
(145)
150.36
92
U
93
Np
94
Pu
95
Am
(237)
(244)
(243)
Rutherfordium
(261)
Dubnium
(262)
Molybdenum Technetium
Seaborgium
(266)
Meitnerium Darmstadtium Roentgenium Ununbium Ununtrium Ununquadium Ununpentium Ununhexium Ununseptium
Ununoctium
(293)
*§ Lanthanoid Series
57
La
Lanthanum
138.91
58
Ce
Cerium
140.12
59
Pr
Praseodymium
140.91
Neodymium Promethium Samarium
Europium Gadolinium
157.25
151.96
70
Yb
Terbium
158.93
Dysprosium
162.50
Holmium
164.93
Erbium
167.26
Thulium
168.93
Ytterbium
173.04
97
Bk
98
Cf
99
Es
100
Fm
101
Md
102
No
**¥ Actinoid Series
89
Ac
Actinium
(227)
90
Th
Thorium
(232)
91
Pa
Protactinium
231.04
Uranium
238.03
Neptunium Plutonium Americium
- iv -
96
Cm
Curium
(247)
Berkelium Californium Einsteinium Fermium
(251)
(252)
(247)
(257)
Mendelevium
(258)
Nobelium
(259)
(Physics, Prototype Exam)
(October 2006)
Table of Trigonometric Ratios
sin θ
cos θ
tan θ
csc θ
sec θ
0
1
2
3
4
0.0000
0.0175
0.0349
0.0523
0.0698
1.0000
0.9998
0.9994
0.9986
0.9976
0.0000
0.0175
0.0349
0.0524
0.0699
57.298
28.653
19.107
14.335
1.0000
1.0002
1.0006
1.0014
1.0024
5
6
7
8
9
0.0872
0.1045
0.1219
0.1392
0.1564
0.9962
0.9945
0.9925
0.9903
0.9877
0.0875
0.1051
0.1228
0.1405
0.1584
11.473
9.5668
8.2055
7.1853
6.3925
10
11
12
13
14
0.1736
0.1908
0.2079
0.2250
0.2419
0.9848
0.9816
0.9781
0.9744
0.9703
0.1763
0.1944
0.2126
0.2309
0.2493
15
16
17
18
19
0.2588
0.2756
0.2924
0.3090
0.3256
0.9659
0.9613
0.9563
0.9511
0.9455
20
21
22
23
24
0.3420
0.3584
0.3746
0.3907
0.4067
25
26
27
28
29
cot θ
sin θ
cos θ
tan θ
csc θ
sec θ
cot θ
57.290
28.636
19.081
14.300
45
46
47
48
49
0.7071
0.7193
0.7314
0.7431
0.7547
0.7071
0.6947
0.6820
0.6691
0.6561
1.0000
1.0355
1.0724
1.1106
1.1504
1.4142
1.3902
1.3673
1.3456
1.3250
1.4142
1.4396
1.4663
1.4945
1.5243
1.0000
0.9657
0.9325
0.9004
0.8693
1.0038
1.0055
1.0075
1.0098
1.0125
11.4301
9.5144
8.1444
7.1154
6.3138
50
51
52
53
54
0.7660
0.7771
0.7880
0.7986
0.8090
0.6428
0.6293
0.6157
0.6018
0.5878
1.1918
1.2349
1.2799
1.3270
1.3764
1.3054
1.2868
1.2690
1.2521
1.2361
1.5557
1.5890
1.6243
1.6616
1.7013
0.8391
0.8098
0.7813
0.7536
0.7265
5.7588
5.2408
4.8097
4.4454
4.1336
1.0154
1.0187
1.0223
1.0263
1.0306
5.6713
5.1446
4.7046
4.3315
4.0108
55
56
57
58
59
0.8192
0.8290
0.8387
0.8480
0.8572
0.5736
0.5592
0.5446
0.5299
0.5150
1.4281
1.4826
1.5399
1.6003
1.6643
1.2208
1.2062
1.1924
1.1792
1.1666
1.7434
1.7883
1.8361
1.8871
1.9416
0.7002
0.6745
0.6494
0.6249
0.6009
0.2679
0.2867
0.3057
0.3249
0.3443
3.8637
3.6280
3.4203
3.2361
3.0716
1.0353
1.0403
1.0457
1.0515
1.0576
3.7321
3.4874
3.2709
3.0777
2.9042
60
61
62
63
64
0.8660
0.8746
0.8829
0.8910
0.8988
0.5000
0.4848
0.4695
0.4540
0.4384
1.7320
1.8040
1.8807
1.9626
2.0503
1.1547
1.1434
1.1326
1.1223
1.1126
2.0000
2.0627
2.1301
2.2027
2.2812
0.5774
0.5543
0.5317
0.5095
0.4877
0.9397
0.9336
0.9272
0.9205
0.9135
0.3640
0.3839
0.4040
0.4245
0.4452
2.9238
2.7904
2.6695
2.5593
2.4586
1.0642
1.0711
1.0785
1.0864
1.0946
2.7475
2.6051
2.4751
2.3559
2.2460
65
66
67
68
69
0.9063
0.9135
0.9205
0.9272
0.9336
0.4226
0.4067
0.3907
0.3746
0.3584
2.1445
2.2460
2.3558
2.4751
2.6051
1.1034
1.0946
1.0864
1.0785
1.0711
2.3662
2.4586
2.5593
2.6695
2.7904
0.4663
0.4452
0.4245
0.4040
0.3839
0.4226
0.4384
0.4540
0.4695
0.4848
0.9063
0.8988
0.8910
0.8829
0.8746
0.4663
0.4877
0.5095
0.5317
0.5543
2.3662
2.2812
2.2027
2.1301
2.0627
1.1034
1.1126
1.1223
1.1326
1.1434
2.1445
2.0503
1.9626
1.8807
1.8040
70
71
72
73
74
0.9397
0.9455
0.9511
0.9563
0.9613
0.3420
0.3256
0.3090
0.2924
0.2756
2.7475
2.9042
3.0777
3.2708
3.4874
1.0642
1.0576
1.0515
1.0457
1.0403
2.9238
3.0715
3.2361
3.4203
3.6279
0.3640
0.3443
0.3249
0.3057
0.2867
30
31
32
33
34
0.5000
0.5150
0.5299
0.5446
0.5592
0.8660
0.8572
0.8480
0.8387
0.8290
0.5773
0.6009
0.6249
0.6494
0.6745
2.0000
1.9416
1.8871
1.8361
1.7883
1.1547
1.1666
1.1792
1.1924
1.2062
1.7321
1.6643
1.6003
1.5399
1.4826
75
76
77
78
79
0.9659
0.9703
0.9744
0.9781
0.9816
0.2588
0.2419
0.2250
0.2079
0.1908
3.7320
4.0108
4.3315
4.7046
5.1445
1.0353
1.0306
1.0263
1.0223
1.0187
3.8637
4.1335
4.4454
4.8097
5.2408
0.2680
0.2493
0.2309
0.2126
0.1944
35
36
37
38
39
0.5736
0.5878
0.6018
0.6157
0.6293
0.8192
0.8090
0.7986
0.7880
0.7771
0.7002
0.7265
0.7536
0.7813
0.8098
1.7434
1.7013
1.6616
1.6243
1.5890
1.2208
1.2361
1.2521
1.2690
1.2868
1.4281
1.3764
1.3270
1.2799
1.2349
80
81
82
83
84
0.9848
0.9877
0.9903
0.9925
0.9945
0.1736
0.1564
0.1392
0.1219
0.1045
5.6712
6.3137
7.1153
8.1443
9.5143
1.0154
1.0125
1.0098
1.0075
1.0055
5.7587
6.3924
7.1852
8.2054
9.5667
0.1763
0.1584
0.1405
0.1228
0.1051
40
41
42
43
44
0.6428
0.6561
0.6691
0.6820
0.6947
0.7660
0.7547
0.7431
0.7314
0.7193
0.8391
0.8693
0.9004
0.9325
0.9657
1.5557
1.5243
1.4945
1.4663
1.4396
1.3054
1.3250
1.3456
1.3673
1.3902
1.1918
1.1504
1.1106
1.0724
1.0355
85
86
87
88
89
90
0.9962
0.9976
0.9986
0.9994
0.9998
1.0000
0.0872
0.0698
0.0523
0.0349
0.0175
0.0000
11.429
14.300
19.080
28.635
57.285
1.0038
1.0024
1.0014
1.0006
1.0002
1.0000
11.473
14.335
19.106
28.652
57.294
0.0875
0.0699
0.0524
0.0349
0.0175
0.0000
-v(Physics, Prototype Exam)
(October 2006)
- vi (Physics, Prototype Exam)
(October 2006)
GRADE 12 DEPARTMENTAL EXAMINATION
PHYSICS 30, PROTOTYPE EXAM
VALUE
100
(50 × 2)
Answer the following 50 questions on the computer sheet entitled
“Student Examination Form.”
1.
The ticker tape record of the motion of a dynamics cart shows that the dots
get closer together as the cart moves from left to right. This indicates that
the cart is
A.
B.
C.
D.
2.
Which of the following pairs are vector quantities?
A.
B.
C.
D.
3.
moving at a constant speed.
at rest.
accelerating.
not accelerating.
temperature and mass
velocity and speed
acceleration and force
mass and velocity
Two vector quantities P and Q are correctly represented on a certain
scale below.
G
Q
G
P
Which of the following vectors, drawn to same scale, represents P − Q ?
A.
C.
B.
D.
-1 (Physics, Prototype Exam)
(October 2006)
4.
A force of 75.0 N acts at an angle of 25.0° above the x axis as shown below.
y
F
25.0°
x
The vertical component of this vector has a magnitude of
A.
B.
C.
D.
5.
31.7 N
35.0 N
68.0 N
75.0 N
A steel ball is released and rolls down an inclined plane. Which of the
following position versus time graphs represents its motion?
A.
B.
C.
D.
-2-
(Physics, Prototype Exam)
(October 2006)
6.
Usually, average velocity and instantaneous velocity are not the same when
the
A.
B.
C.
D.
7.
slope of a position versus time graph is constant.
acceleration is zero.
velocity is constant.
velocity is increasing uniformly.
The slope of a velocity versus time graph represents
A.
B.
C.
D.
displacement.
acceleration.
change of velocity.
distance travelled.
Use the following information to answer questions 8, 9, 10, 11, and 12.
Consider the motion of two cars, a green car and a red car, each having a
mass of 1 550 kg. The following table shows the position of both cars at
different times.
Position (m [N])
8.
Time(s)
Green Car
Red Car
0.00
0.00
5.00
2.00
2.00
5.00
4.00
4.00
5.00
6.00
6.00
5.00
8.00
8.00
5.00
10.00
10.00
5.00
The best description of the motion of the green car is
A.
B.
C.
D.
no motion.
constant motion.
uniformly accelerated motion.
increasing motion.
-3-
(Physics, Prototype Exam)
(October 2006)
Which of the following position versus time graphs correctly represents the
motion of the two cars?
R
n
ee
Gr
ee
position
Ca
r
B.
nC
ar
A.
Gr
9.
C
ed
position
ar
time
time
D.
en
Ca
r
C.
Red Car
G
re
re
G
position
position
Red C
en
ar
C
Red Car
ar
time
time
10. The velocities of the green car and the red car, respectively, at 10.0 seconds
are
A.
B.
C.
D.
1.00 m/s [N] and 0.500 m/s [N]
1.00 m/s [N] and 0 m/s
3.00 m/s [N] and 0 m/s
3.00 m/s [N] and 0.500 m/s [N]
11. The acceleration of the green car is
A.
B.
C.
D.
0 m/s2 [N]
0.500 m/s2 [N]
1.00 m/s2 [N]
3.00 m/s2 [N]
12. The two cars are at the same position
A.
B.
C.
D.
at t = 0.00 s
at t = 5.00 s
at t = 10.00 s
at t = 20.00 s
________________________________________
-4-
(Physics, Prototype Exam)
(October 2006)
Use the following graph of the motion of a 5.0 kg object to answer
questions 13, 14, and 15.
Velocity
(m/s [N])
13. The displacement between 0 s and 4 0 s is
A.
950 m [N]
B.
C.
D.
600 m [N]
350 m [N]
250 m [N]
14. The average velocity of the object during the first 2 0 seconds is
A.
B.
C.
D.
20
20
30
30
m/s [N]
m/s [S]
m/s [N]
m/s [S]
15. The net force acting on the object from 10 to 20 seconds is
A.
B.
C.
D.
20 N [N]
20 N [S]
200 N [N]
200 N [S]
________________________________________
-5-
(Physics, Prototype Exam)
(October 2006)
16. A boat accelerates uniformly from 2.5 m/s [E] to 11.5 m/s [E] in 4.5 s. The
average acceleration is
A.
B.
C.
D.
9.8 m / s 2 [E]
3.6 m / s 2 [E]
2.0 m / s 2 [E]
0.50 m / s 2 [E]
17. An object moving at 2.0 m/s [E] accelerates for 2.0 s at 5.0 m / s 2 [E]. Its
displacement during the interval is
A.
B.
C.
D.
4.0 m [E]
10 m [E]
12 m [E]
14 m [E]
18. Three equal forces are applied to a 2.0 kg mass resting on a frictionless
surface as shown below. The acceleration of the mass would be
A.
B.
0 m/s 2
5.0 m/s 2 [E]
C.
10 m/s 2 [E]
D.
15 m/s 2 [E]
-6-
(Physics, Prototype Exam)
(October 2006)
19. A force of 6.0 N [W] acts on an object giving it an acceleration of
2.0 m / s 2 [W] on a frictionless surface. The mass of the object is
A.
B.
C.
D.
12 kg
4.0 kg
3.0 kg
0.33 kg
20. Which of the following forces is/are specifically referred to in Newton’s
Third Law of Motion?
A.
B.
C.
D.
gravitational
unbalanced
resultant
action/reaction
21. A force of 75 N is applied at a 30° angle to the horizontal in order to move a
15 kg object 12 m along a surface. A 10 N frictional force acts, as shown in
the diagram below.
F = 75 N
30°
m = 15 kg
Ff = 10 N
d = 12 m
The work done is
A.
B.
C.
D.
900 J
780 J
650 J
450 J
-7-
(Physics, Prototype Exam)
(October 2006)
22. A 6.00 kg mass is released vertically from rest at a height of 80.0 m. If air
resistance is neglected, the kinetic energy of the mass when it has fallen
60.0 m is
A.
B.
C.
D.
4 700 J
3 530 J
1 180 J
120 J
23. A stone thrown vertically upward with an initial velocity of 50 m/s will
reach an approximate height of
A.
B.
C.
D.
50 m
100 m
130 m
260 m
Use the following information and diagram to answer questions 24, 25,
and 26.
A 0.25 kg ball is rolling along a frictionless track, as shown in the diagram
below.
24. The work required to raise the ball from ground level to point B is
A.
B.
C.
D.
0J
2.5 J
20 J
78 J
-8-
(Physics, Prototype Exam)
(October 2006)
25. The ratio of the ball’s potential energy at point B to its potential energy
at point A is
A.
B.
C.
D.
5:8
8:5
25 : 64
64 : 25
26. If the ball were released from rest at point B, what speed would it have
at point A?
A.
B.
C.
D.
7.7 m/s
9.9 m/s
13 m/s
98 m/s
________________________________________
27. If there were no energy losses, a 60 kg mass would be raised **** by a
2.0 kW motor in 5.0 s.
A.
B.
C.
D.
170 m
33 m
17 m
3.4 m
28. In inelastic interactions heat is produced, but
A.
B.
C.
D.
total energy remains the same.
the mechanical energy remains the same.
kinetic energy remains the same.
potential energy increases.
-9-
(Physics, Prototype Exam)
(October 2006)
29. The rate of flow of charge passing through a cross-sectional area in a
conductor is called
A.
B.
C.
D.
voltage.
current.
resistance.
potential difference.
30. The unit
A.
B.
C.
D.
N ⋅m
is equal to one
C
watt.
ampere.
volt.
joule.
31. A 12.0 Ω and an 8.0 Ω resistance are connected in series on a 120 V
line. The current through the 8.0 Ω resistance would be
A.
B.
C.
D.
0.17 A
6.0 A
10 A
15 A
Use the following diagram to answer questions 32, 33, 34, and 35.
32. The voltage drop across resistor R 2 is
A.
B.
C.
D.
2.0 V
4.0 V
12 V
24 V
- 10 -
(Physics, Prototype Exam)
(October 2006)
33. The equivalent resistance is
A.
B.
C.
D.
4. 0 Ω
9. 0 Ω
18 Ω
72 Ω
34. The current flowing through the 12.0 Ω resistor is
A.
B.
C.
D.
0.67 A
1.0 A
2.0 A
3.0 A
35. The power of the circuit is
A.
B.
C.
D.
8.0 W
12 W
24 W
36 W
________________________________________
36. Which of the following is conserved when an electric current flows
through a resistor?
A.
B.
C.
D.
electrical energy
heat energy
charge
voltage
37. A battery is a device which converts chemical potential energy to
A.
B.
C.
D.
electrical potential energy.
electrical kinetic energy.
thermal energy.
mechanical energy.
- 11 -
(Physics, Prototype Exam)
(October 2006)
38. The equivalent resistance in the circuit shown below is
A.
B.
C.
D.
170 Ω
80.0 Ω
27.1 Ω
20.0 Ω
39. Electrical appliances are designed to offer a particular resistance. In
North America, they are designed to be plugged into a 120 V outlet. If
they were taken to Europe and plugged into a 240 V outlet by mistake,
A.
B.
C.
D.
too much current would be drawn.
not enough current would be drawn.
the resistance of the appliance would be too large.
the power consumed would be too small.
40. Which of the following would cause the least increase to your electrical
bill?
A.
B.
C.
D.
A 2 kW baseboard heater operated for 3 hours
A set of eight 60 W outdoor patio lights operated for 10 hours
A 100 W light bulb operated for 2 days
A 25 W humidifier operated for 1 week
41. Isotopes of an atom have
A.
B.
C.
D.
the same atomic number but different atomic masses.
the same atomic number and atomic masses.
the same atomic masses but different atomic numbers.
different atomic masses and atomic numbers.
42. Radium was discovered by
A.
B.
C.
D.
Marie Curie.
Antoine-Henri Becquerel.
Ernest Rutherford.
Albert Einstein.
- 12 -
(Physics, Prototype Exam)
(October 2006)
43. Another name for natural radiation is
A.
B.
C.
D.
fallout radiation.
penetrating rays.
background radiation.
cosmic rays.
44. Which of the following natural sources of radiation usually contribute
most to a person’s exposure to radiation?
A.
B.
C.
D.
space
earth
human contact
water
45. One of the possible delayed reactions in humans to low level doses of
ionizing radiation is
A.
B.
C.
D.
hair loss.
skin burns.
nausea and cramps.
hereditary defects.
46. Which of the following statements about exposure to radiation are true?
1.
2.
3.
It causes cancer.
It is used to treat cancer.
It is used to diagnose cancer.
A.
B.
C.
D.
1 and 2
2 and 3
1 and 3
1, 2, and 3
- 13 -
(Physics, Prototype Exam)
(October 2006)
47. The diagram shows a radioactive
source S which emits only one kind
of radiation that is placed behind
two wooden screens. Suitable
detectors indicate that radiation
reaches Y but no radiation reaches
Z. This would indicate that S is
probably
A.
B.
C.
D.
an alpha emitter.
a beta emitter.
a gamma emitter.
a neutron emitter.
48. The increased use of nuclear energy to produce electricity combined with
a decrease in the use of coal-fired generating stations would
A.
B.
C.
D.
increase acid precipitation.
release more poisonous metals and fly ash into the atmosphere.
reduce the production of greenhouse gases.
reduce the possibility of groundwater contamination from tailings.
49. Which of the following statements correctly describe CANDU reactors?
1.
2.
3.
4.
A.
B.
C.
D.
They can be refuelled while in operation.
They use graphite in the control rods.
They use enriched uranium pellets in the fuel rods.
They use heavy water as the moderator.
1 and 2
2 and 3
3 and 4
1 and 4
50. Natural uranium fuel contains
A.
B.
C.
D.
238
92
U and
235
92
U in the approximate ratio of
99:1
93:7
7:93
1:99
- 14 -
(Physics, Prototype Exam)
(October 2006)
GRADE 12 DEPARTMENTAL EXAMINATION
PHYSICS, PROTOTYPE EXAM — Answer Key
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
C
C
B
A
C
D
B
B
D
B
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
A
B
D
C
B
C
D
A
C
D
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
B
B
C
C
B
A
C
A
B
C
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
B
C
A
B
D
C
A
D
A
D
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
A
A
C
A
D
D
B
C
D
A
1.
Since the distance between the dots is decreasing, the cart is slowing down. A
change in velocity indicates acceleration.
Answer: C
2.
Acceleration and force are vectors. Direction is required to describe a vector.
Answer: C
3.
K
K
K
K
P−Q=P+−Q
K
Reverse the direction of Q and add the vectors.
K
P
K
−Q
Answer: B
4.
G
FV = sin 25D ⋅ 75.0 N = 31.7 N
Answer: A
5.
The ball will accelerate. The displacement will increase for each succession time
internal.
Answer: C
6.
Answers A, B, and C indicate constant velocity. If velocity does not change,
average velocity equals instantaneous velocity.
Answer: D
-i(Physics, Prototype Exam - Answer Key)
(October 2006)
7.
The slope indicates the change in velocity over the change in time, or
acceleration.
Answer: B
8.
As time goes on, the position of the green car increases at a constant rate of
1.00 m/s [N]. Since the velocity is constant, the motion is constant.
Answer: B
9.
10.
The green car has a constant positive velocity, which is indicated by a straight
line with a positive slope on a p versus t graph. The red car is not moving, or has
a velocity of zero. This is indicated by a horizontal line on a p vs t graph.
Answer: D
K
K Δd 10.00
=
= 1.00 m/s [N ]
For the green car, v =
Δt 10.00
The red car is not moving.
Answer: B
11.
The green car has a constant velocity. Its acceleration is zero.
Answer: A
12.
The red car is always located at 5.00 m [N]. Since the green car travels at
1.00 m/s [N], it will reach the red car at 5.00 s.
Answer: B
13.
Displacement equals the area under v vs t curve.
From 0 to 10 s,
From 10 to 20 t ,
From 20 to 25 s,
From 25 to 40 s,
d = 40 × 10 = 400 m [N ]
1
d = 10 40 = 200 m [N ]
2
1
d = (5.0 ) − 20 = − 50 m [N ]
2
d = 15 − 20 = − 300 m [N ]
( )( )
(
(
)
)
d = 400 + 200 − 50 − 300 = 250 m [N ]
14.
Answer: D
1
K
40 10 + 40 10
K Δd area under the curve
2
v=
=
=
= 30 m/s [N ]
Δt
time
20
( )
( )( )
Answer: C
- ii (Physics, Prototype Exam - Answer Key)
(October 2006)
15.
16.
K
K Δv 0 − 40
a=
= − 4.0 m/s [N ]
=
Δt 20 − 10
K
K
F = ma = 5.0 kg (− 4.0 m/s [N ]) = − 20 N [N ] or 20 N [S]
Answer: B
K
K K
K Δv v t − v i 11.5 m/s [ E] − 2.5 m/s [ E]
a=
=
=
= 2.0 m/s2 [ E]
4.5 s
Δt
Δt
Answer: C
17.
K K
1 K
d = vt + at 2
2
= 2.0 m/s [ E] ( 2.0 s ) +
1
2
5.0 m/s2 [ E] ( 2.0 s )
2
(
)
= 4.0 m [ E] + 10 m [ E]
= 14 m [ E]
Answer: D
18.
19.
The horizontal component of the top right force is 10 cos 60°, or 5.0 N, to the
right. Likewise, the horizontal component of the bottom right force is also 5.0 N
to the right. The sum of these two forces is equal in magnitude and opposite in
direction to the force on the left. The net force is zero. Therefore, the
acceleration is zero.
Answer: A
K
6.0 N [W ]
F
m= K =
= 3.0 kg
a 2.0 m/s 2 [W ]
Answer: C
20.
Newton’s Third Law – for every action, there is an equal and opposite reaction.
Answer: D
21.
Work = F ⋅ d cos θ = 75 N(12 m)(cos 30°) = 780 J
(Ignore the force of friction.)
22.
The gain in kinetic energy equals the loss in potential energy.
E k = mgh 1 − mgh 2 = mgΔh
(
)
Answer: B
E k = 6.00 kg 9.80 m/s 2 (60.0 m ) = 3 530 J
Answer: B
- iii (Physics, Prototype Exam - Answer Key)
(October 2006)
23.
2
2
v f − v i = 2ad v f = velocity at top of rise = 0 m/s
2
d=
24.
25.
2
vf − vi
0 − (50) 2 − 2500
= 130 m
=
=
2a
2(− 9.80 ) − 19.6
Answer: C
Work = Eg = mgh
Work = 0.25 kg (9.80 m/s2)(8.0 m) = 19.6 J = 20 J
Eg at B
Eg at A
=
Answer: C
mg ⋅ 8 8
=
mg ⋅ 5 5
Answer: B
26.
E k = Δ Eg
1
mv 2 = mgΔh, v = 2gΔh = 2(9.80)(3.0)
2
v = 7.7 m/s
27.
P=
Answer: A
2 000 W ⋅ 5.0 s
W mgh
Pt
, h=
=
=
= 17 m
t
t
mg 9.80 m/s 2 ⋅ 60 kg
Answer: C
28.
Mechanical energy (kinetic + potential) is not conserved because some kinetic
energy is changed to heat. However, total energy is conserved because heat is
considered as a product.
Answer: A
29.
The rate of charge flow is called current.
30.
One
newton ⋅ metre
coulomb
Since V =
∴1
31.
=
one
joule
coulomb
Answer: B
work ⎞
⎛
⎜⎜ the units for
⎟
charge ⎟⎠
⎝
W
, the units for potential difference are equivalent to joules/coulomb.
Q
J
N⋅m
=1 =1 V
C
C
Answer: C
R T = 12.0 Ω + 8.0 Ω = 20.0 Ω
V
120 V
IT = T =
= 6 .0 A
R T 20.0 Ω
In a series circuit, the total current
must pass through all resistances.
Answer: B
- iv (Physics, Prototype Exam - Answer Key)
(October 2006)
32.
33.
34.
35.
In a parallel circuit, V1 = V2 = VT
V2 = 12 V
Answer: C
1
1
1
2
1
3
=
+
=
+
=
R T 6.0 12 12 12 12
12
RT =
= 4.0 Ω
3
I1 =
Answer: A
V1 12 V
=
= 1 .0 A
R1 12 Ω
Answer: B
VT 12
=
= 3. 0 A
R T 4 .0
P = VI = 12 V (3.0 A ) = 36 W
IT =
Answer: D
36.
Electrons are not created or destroyed in an electric circuit. Therefore, charge is
conserved.
Answer: C
37.
Chemical potential energy is initially changed to electric potential energy in the
cell.
Answer: A
38.
Start on the right. 45.0 Ω + 15.0 Ω in series = 60.0 Ω
⎞
⎛ 1
1
1
2
1
60.0 Ω + 60.0 Ω in parallel = 30.0 Ω ⎜⎜
=
+
=
=
, R T = 30 ⎟⎟
⎠
⎝ R T 60 60 60 30
10.0 Ω + 30.0 Ω in series = 40.0 Ω
40.0 Ω + 40.0 Ω in parallel = 20.0 Ω
Answer: D
39.
V = IR. If the voltage is doubled, the current will also double.
Answer: A
40.
A.
B.
C.
D.
2 kW × 3 h = 6 kW⋅ h
60 ⋅ 8
kW × 10 h = 4.8 kW ⋅h
1000
100
kW × 48 h = 4.8 kW ⋅h
1000
25
h
kW ⋅ h × 24 × 7 d = 4.2 kW ⋅ h
1000
d
Answer: D
-v(Physics, Prototype Exam - Answer Key)
(October 2006)
41.
Isotopes have the same number of protons but a different number of neutrons.
Answer: A
42.
Answer: A
43.
Answer: C
44.
Most of the background radiation is caused by the passage through our
atmosphere of highly penetrating radiation from outer space, called cosmic rays.
Answer: A
45.
The first three choices are the result of high level doses of ionizing radiation.
These effects are more immediate.
Answer: D
46.
All statements are true.
47.
Alpha radiation would not pass through the first wooden screen. Gamma
radiation would pass through both screens.
Answer: B
48.
Unlike coal-fired generating stations, nuclear reactors do not produce
greenhouse gases.
Answer: C
49.
Answer: D
50.
Answer: A
Answer: D
- vi -
(Physics, Prototype Exam - Answer Key)
(October 2006)