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Canadian International Matriculation Programme
Sunway College
Course name (SPH4U)
FINAL EXAMINATION
Date: Thursday, November 29th. 2014
Time: 11:30 – 1:30 pm
Length: 2.0 hrs
Lecturers: Mr Anton Gillich,
Student Name: ______________________________
Section: _______
Please read the following instructions carefully before you begin the examination:
1. This exam paper has 13 printed pages (including cover and formula Sheet).
2. The examination is worth 30 percent of your final mark.
3. The examination consists of five parts.
PARTS
CONTENT
MARKS
A
B
MULTIPLE CHOICE
SHORT ANSWER
50 K,T,A
15 C
C
PROBLEM SOLVING (2)
20 T
D
PROBLEM SOLVING (2/3)
10 A
E
PROBLEM SOLVING (1/2)
5C
TOTAL
100
4. Please enter your multiple choice answers directly on the answer sheet provided at the end of the
exam. Insure your Name and Section are given in the space provided.
e) Your responses to parts B to E 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.
f) Please show full solutions for the problems. Problems must include final answers which are
clearly given with units and the appropriate number of significant digits. Only stationary and
calculators are permitted.
g) 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
Part D
1
Part E
Total
Part A: Multiple Choice Questions. Clearly circle the best solution to each question on the
answer sheet provided at the end of the Examination. 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. A baseball outfielder throws a baseball from the outfield back to home plate with a
velocity of magnitude 87.0 m/s at an angle of 35º above the horizontal. How far away
will the ball land?
a) 128 m
d) 725 m
b) 714 m
e) 887 m
c) 362 m
2. You run two laps of a 400m track finishing where you started. What is your
displacement?
a) 0 m
d) 1.2 km
b) 400 m
e) Not enough information
c) 800 m
is given
3. When it is launched, a small
rocket with a mass of 2.0 kg rises
vertically with an acceleration of
12 m/s2. What force must the
reactor exert to produce this
acceleration?
a) 2.4 N
b) 5 N
c) 20 N
d) 22 N
e) 40 N
2
12 m/s
4. Which of the following graphs best represents the relationship between the
gravitational force, F, which Earth exerts on an object m, sitting at Earth's surface and
the mass of the object m?
a) A
b) B
c) C
d) D
e) E
2
5. Study the force system diagram
pictured to the right. Select the
factor which would NOT
influence the amount of kinetic
friction.
a) object's mass, m
b) coefficient of kinetic friction, K
c) normal force, FN
d) applied force, FA
e) gravitational field strength, g
6. A baseball is thrown vertically into the air. The instantaneous acceleration of the ball
at the highest point in its travel is:
a) 9.8 m/s2 up
b) 9.8 m/s2 down
c) changing from 9.8 m/s2 up to 9.8 m/s2 down
d) changing from 9.8 m/s2 up to zero to 9.8 m/s2 down
e) zero
7. An arrow is shot at a 30.0o angle to the horizontal. It has a velocity of 49 m/s. How
high will the arrow go?
a) 61 m
d) 120 m
b) 240 m
e) 15 m
c) 31 m
8. Two objects strike a glancing
blow. The diagram to the right shows
the momenta of some of the objects
before and after the collision.
Which vector best represents the momentum of object P after the collision?
a) A
b) B
c) C
d) D
e) E
3
9. The reason that curves on roads are often banked is because:
a) the coefficient of static friction is increased
b) the coefficient of kinetic friction is increased
c) a component of the normal force can contribute to the centripetal force
d) the gravitational force acting on the car is reduced
e) the normal force acting on the car is reduced
10. A person drops a stone from a window of an apartment building. Which one of the
following graphs represents the stone's change in potential energy with respect to the ground as
a function of time?
Potential
energy
Potential
energy
a)
0
Time
c)
b)
e) None of the above
Time
Potential
energy
Potential
energy
0
0
d)
Time
0
Time
11. A rock is tied to the end of a 35 cm long string and whirled around in a circle that
describes a vertical plane. The tension in the string becomes zero when the speed of the rock
is:
a) 9.8 × 102 cm/s
d) 9.8 cm/s
2
e) 1.9 cm/s
b) 1.9 × 10 cm/s
c) 19 cm/s
12. How much energy is lost when a 20.0 g bullet, fired at 2.60 x 102 m/s, is embedded into
a block of wood of mass 8.00 x 102 g that is free to move?
a) 16.5 J
d) 6.34 J
b) 676 J
e) none of these
c) 6.60 x 102 J
4
13. A cyclist together with his bicycle has
a mass of 90.0 kg. He arrives at the top of
a hill 15.0 meters high with a speed of 8.0
m/s as shown below. He stops pedaling
and arrives at the bottom of the hill with a
speed of 15.0 m/s. If all the energy lost
during the descent is transformed into heat
during the braking, how much energy was
lost due to the braking?
a) 2.88 x 103 J
b) 5.99 x 103 J
c) 1.01 x 104 J
d) 1.32 x 104 J
e) 1.61 x 104 J
14. A 1.30-kg pendulum bob is pulled to the side, raising it 19.0 cm above its rest position.
After it is released, the maximum speed will be:
a) 0.616 m/s
d) 6.16 m/s
b) 1.93 m/s
e) 37.2 m/s
c) 3.72 m/s
15. The electrostatic force between two point charges is
. If the distance
between them is doubled and the size of the charge remains the same, the force between
them will be:
a) 3.1 × 10–6 N
d) 2.9 × 10–3 N
b) 1.4 × 10–3 N
e) 1.1 × 10–2 N
7
c) 2.6 × 10 N
16. A small object has an excess of 4.7× 1011 electrons. The electric potential at a distance
of 0.200 m from the object would be:
a) 2.7 × 106 V
d) 3.4 × 103 N/C
3
b) 3.4 × 10 V
e) 2.6 × 106 N/C
c) 2.1 × 1022 V
17. The charge, in coulombs, required to suspend a 1.7 × 10–13-kg oil drop in an electric
field with intensity 2.5 × 105 N/C is:
a) 6.8 × 10–24 C
d) 6.7 × 10–18 C
–13
b) 4.3 × 10 C
e) 1.1 × 10–45 C
c) 6.1 × 10–14 C
5
18. A conductor is located between the
poles of a horseshoe magnet. Current
flows in the direction indicated by the
arrow on the diagram. In which direction
will the conductor move?
a) upward
b) left
c) downward
d) right
e) out of the page
a)
19. The N-pole of a bar magnet will:
a) attract a positive charge and repel a negative charge
b) repel a positive charge and attract a negative charge
c) attract positive and negative charges
d) repel positive and negative charges
e) not affect a stationary charged object
20. The diagram to the right shows a bar magnet being moved away from a coil. The pole
induced at the side closest to the magnet will be a____-pole and the current will flow ____ at
the front of the coil.
a)
b)
c)
d)
e)
N, up
N, down
S, up
S, down
Non-magnetic, randomly
21. The critical angle for diamond is 25o. Total internal reflection occurs when light is
incident on:
a) the air to diamond boundary at an angle of incidence of 25o
b) the air to diamond boundary at an angle of incidence greater than 25o
c) the air to diamond boundary at an angle of incidence less than 25o
d) the diamond to air boundary at an angle of incidence less than 25o
e) the diamond to air boundary at an angle of incidence greater than 25o
22. A quanta of energy emitted from an atom is defined as
a) a continuous amount of energy
b) a discrete amount of energy
c) the total amount of energy
d) a range of energies
e) none of the above
6
23. A series of wave fronts in a wave
tank travelling toward an opening are
shown to the right. Which of the
following changes would cause an
increase in the amount of diffraction?
a) decreasing the amplitude of the
wave
b) decreasing the frequency of the
wave
c) increase the size of the opening
d) placing the wave generator closer
to the opening
e) using a shorter wavelength
24. In the photoelectric effect, the work function is:
a) the amount of energy required to release an electron
b) the same as the threshold frequency
c) the amount of kinetic energy possessed by the electron
d) dependent on the frequency of light
e) none of the above
25. In the diagram to the right (not to
scale), two point sources, S1 and S2, are
located 6.0 cm apart, vibrating in phase,
and producing waves of wavelength 1.25
cm. If point Q is located on the second
nodal line a distance of 24 cm from O,
then the distance from M to Q is:
a) 2.5 cm
b) 5.0 cm
c) 7.5 cm
d) 12 cm
e) 15 cm
7
Part B: Short Answers. Clearly answer the following questions in the answer booklet provided.
You need not rewrite the questions but insure the answer is numbered and matches the number
on the question sheet. Answer clearly and succinctly. You may draw a small diagram if you feel
it is necessary. (All Questions are 3 marks each, Communication: 15)
1. In terms of acceleration, clearly explain why car air bags reduce the severity of an injury in an
automobile collision?
2. In terms of impulse, force, time distance, energy and momentum a football kicker is trying to do
what to maximize the distance of a kicked football?
3. Explain what is needed in order to put a satellite in orbit around a planet.
4. What are the similarities between gravitational force and electrostatic force? What are the
differences?
5. What are some properties of light which suggest that it is a wave? What are some properties
which suggest that it is a stream of particles?
8
Part C: Problem Solving. Clearly answer the both questions in the answer booklet provided.
You need not rewrite the questions but insure the answer is numbered and matches the number
on the question sheet. Answer clearly and succinctly.
(10 marks each, Thinking: 20)
1. A circus clown is fired from a cannon into a net that is situated 2.0 m above the cannon and
some distance from it. The cannon is elevated at 50.0° to the horizontal and the clown’s
speed at launch is 15 m/s. See the diagram below.
Find the horizontal distance from the cannon where the net needs to be placed in order for the
clown to land in it.
2. Crates of mass 80.0 kg are loaded onto a truck, a vertical lift of 1.3 m. To make the work
easier, a 2.6 m long ramp is used and the crates are pushed along the ramp from the ground
onto the truck. The coefficient of friction between the crates and the ramp is 0.56.
(a) Determine the minimum force required to push a crate along the ramp. Include an
appropriate free-body diagram.
(b) If the crate is let go from rest at the top of the ramp and begins to slide, how long will
it take to reach the bottom of the ramp? Include a new free-body diagram.
(c) What minimum value for the coefficient of static friction will prevent the crate from
beginning to slide if it is let go at the top of the ramp?
9
Part D: Problem Solving. Solve Only TWO out of three questions. Clearly Write Your
Solution in the answer booklet provided including all formulas and calculations. Clearly write
your Final Answer with a reasonable number of significant digits
(5 marks each; Application: 10)
1. A 140-kg barrel that is initially at rest is pushed by a constant net force of 40.0 N. The
barrel travels 200 cm in 5.0 s. The acceleration of the barrel is 0.25 m/s2. Calculate the
increase in kinetic energy during the 5.0 s.
2. A sphere, q1 has a charge of 2.5x10-6 C and q2 has a charge of 5.00x10-6 C separated by
a distance of 40 cm. What is the resultant Field Strength at a point directly in between
the two charges?
q3
q1
40
cm
3. Calculate the mass of oxygen-16 ions with a charge magnitude of 3.20 × 10–19 C,
accelerated into a mass spectrometer through a potential difference of 3.25 × 102 V into
a uniform 2.00-T magnetic field. The oxygen ions occupy a curved path of 0.862 cm.
10
Part E: Problem Solving. Do either question. 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 full mark will be given (5 marks each; Communication: 10)
1
How far apart must two slits be if the third order maximum of a diffraction pattern is
observed to be deviated by 20.00 cm from the central maximum when a monochromatic
light of wavelength of 610 nm is used?
2. A Monochromatic Light source of 630 nm illuminates a metal metallic surface which has a
work function of 1.15 eV.
a) Does this wavelength produce a photoelectric effect?
b) If does not, what is the wavelength which produce it? If it does, what will be the
stopping voltage necessary to prevent it?
Separately or
11
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)
15 (A)
16 (A)
17 (A)
18 (A)
19 (A)
20 (A)
21 (A)
22 (A)
23 (A)
24 (A)
25 (A)
12
(B) (C) (D) (E)
(B) (C) (D) (E)
(B) (C) (D) (E)
(B) (C) (D) (E)
(B) (C) (D) (E)
(B) (C) (D) (E)
(B) (C) (D) (E)
(B) (C) (D) (E)
(B) (C) (D) (E)
(B) (C) (D) (E)
(B) (C) (D) (E)
(B) (C) (D) (E)
SPH 4U – FORMULA SHEET
v = d/t
vav = d / t
a = v / t
v2 = v1 + a t
v22 = v12 + 2a d
d = v1 t + ½ a t2
d = (v1 + v2) t
2
Time of flight: t = 2v1sin
g
d = v2 t – ½ a t2
Horizontal Range: dh = v12sin2
g
G = 6.67 x 10-11 N.m2/kg2
Me = 5.98 x 1024 kg
ac = v2 /r = 42rf2 = 42r/T2
Fc = mv2/r = 42mrf2 = 42mr/T2
re = 6.38 x 106 m
Fg = G m1 m2
r2
Ff =  FN
Fg = m g
Fnet = m a
dv = v1t sin  + ½ g t2
dh = v1t cos 
Ek = ½ mv2
Eg = mgh
T = 2π m
k
Ek = p2/2m
Constants: g = 9.8 m/s/s
W=Fd
Ee = ½ kx2
F = kx
p = mv
j = p = F. t
p = (2mEk)
Elastic Collision:
v1’ = (m1 – m2) .v1
(m1 + m2)
v2’ =
3
Cs = GM  r
2
4
T2
GM
r
g = GM/r2
v=
Eg = -GMm/r
ΔEg =   GMm     GMm 

 

Constants: e/m = 1.76 x 1011 C/kg
melectron = 9.11 x 10-31 kg
2m1
.v1
(m1 + m2)

 

r2
 

r1

vesc =
2GM
r
k = 9.0 x 109 N.m2/C2
mproton = 1.67 x 10-27 kg
e = 1.602 x 10-19 C
mα= 6.65 x 10-27 kg
Fe = kq1q2/r2
 = Fe/q
 = kq/r2 [point charge]
Ee = kq1q2/r
V = kq1/r
E = qV
FM = qvB sin
 = V/d (parallel plates)
q = Ne
e/m = /B2r
 NI 
B  0 

 L 
F = BILsin
 I 
B  0 

 2r 
 NI 
B  0 

 2r 
v=f
v1/v2 = 1/2 = sin i / sin R = 1n2
eV = 1.602 x 10-19 J
 PnS1 – PnS2  = (n- ½)
 = x d/L
 = w y/L
sin n = n/w [dark bands]
sin n = (n + ½)/w [bright bands]
h = 6.626 x 10-34 J●sec
tm 
t s
Lm  Ls 1 
v2
1 2
c
E = mc2
v2
c2
m
m0
1
v2
c2
Ek = hf – W
E = hf
13