2012 hsc-exam-physics
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TRANSCRIPT
Physics
4000
2012H I G H E R S C H O O L C E R T I F I C AT E
E X A M I N AT I O N
General Instructions
• Reading time – 5 minutes
• Working time – 3 hours
• Write using black or blue penBlack pen is preferred
• Draw diagrams using pencil
• Board-approved calculators maybe used
• A data sheet, formulae sheets andPeriodic Table are provided atthe back of this paper
• Write your Centre Number andStudent Number at the top ofpages 13, 17, 19, 23, 25 and 27
Total marks – 100
Pages 2–28
75 marks
This section has two parts, Part A and Part B
Part A – 20 marks
• Attempt Questions 1–20
• Allow about 35 minutes for this part
Part B – 55 marks
• Attempt Questions 21–30
• Allow about 1 hour and 40 minutes for this part
Pages 29–39
25 marks
• Attempt ONE question from Questions 31–35
• Allow about 45 minutes for this section
Section II
Section I
Section I75 marks
Part A – 20 marksAttempt Questions 1–20Allow about 35 minutes for this part
Use the multiple-choice answer sheet for Questions 1–20.
1 The diagram shows a device connected to a meter.
What device is shown in the diagram?
(A) AC motor
(B) DC motor
(C) AC generator
(D) DC generator
2 What is currently used to define the standard metre?
(A) The speed of light
(B) The signals from GPS satellites
(C) The wavelength of light from a krypton lamp
(D) The distance between two lines on a platinum iridium bar
N S
Meter
0 2
– 2 –
3 What part of a cathode ray tube allows a person to observe the position of an electronbeam?
(A) A maltese cross
(B) A heated filament
(C) A fluorescent screen
(D) A uniform magnetic field
4 The graph shows how the gravitational potential energy (Ep) of a satellite changes withits altitude.
What is the change in gravitational potential energy of the satellite when its altitude isreduced from 14 000 km to 4000 km?
(A) –8.8 × 109 J
(B) –2.8 × 109 J
(C) 2.8 × 109 J
(D) 8.8 × 109 J
–10
Altitude (km)
Ep
(109
J)
–9
–8
–7
–6
–5
–4
–3
–2
–1
00 5000 10 000 15 000 20 000
– 3 –
5 Which of the following could be added to a crystal of silicon to create a p-typesemiconductor?
(A) Carbon
(B) Copper
(C) Gallium
(D) Phosphorus
6 The diagram represents the electric field around a negative charge.
If the magnitude of the charge were doubled, which diagram would best represent thenew electric field?
–
–2
–2
–2
(A) (B)
(C) (D)
–2
– 4 –
7 In moving-coil galvanometers, the coil experiences a torque because of the currentflowing through it.
What ensures that this torque is directly proportional to the current flowing through thecoil?
(A) A return spring
(B) A radial magnetic field
(C) A laminated soft iron core
(D) A constant cross-sectional area of the coil
8 A current-carrying wire passes through a region of uniform magnetic field, magnitude0.05 T, and as a result experiences a force of magnitude 0.03 N.
What is the current I?
(A) 1.5 A
(B) 1.7 A
(C) 3.0 A
(D) 6.0 A
9 Compared to a geostationary orbit, which row of the table correctly describes the relativeproperties of a low Earth orbit?
30°30°
B
0.2 m
I
Orbital velocity Orbital period
Higher Higher
Higher Lower
Lower Higher
Lower Lower
(A)
(B)
(C)
(D)
– 5 –
10 Which of the following ideal transformers could be used to convert an input voltage of20 volts AC to an output voltage of 2 volts AC?
11 Which of the following is correct about the forces acting during a rocket launch?
(A) Equal and opposite forces act on the rocket. This enables it to continue to accelerateeven in the vacuum of space.
(B) The engines exert an upward thrust on the rocket. This thrust exceeds thedownward force of the engines on the air.
(C) The rocket engines exert a downward force on the gases being expelled. Thesegases exert an upward force on the engines.
(D) The expelled gases exert a force against the launch pad. The launch pad then exertsan equal and opposite force on the rocket causing it to accelerate.
(A) (B)
(C) (D)
4 turns 10 turns 20 turns 3 turns
20 turns 10 turns 3 turns 30 turns
– 6 –
Use the data below to answer Questions 12 and 13.
12 What is the centripetal force experienced by the Moon due to Earth’s influence?
(A) 2.0 × 1020 N
(B) 1.6 × 1022 N
(C) 4.7 × 1026 N
(D) 7.6 × 1028 N
13 What is the orbital period of an Earth satellite having an orbital radius half that of theMoon?
(A) 5.9 × 105 s
(B) 8.3 × 105 s
(C) 1.2 × 106 s
(D) 7.5 × 106 s
Orbital period of the Moon around Earth 2.36 × 106 s
Mean orbital radius of the Moon 3.83 × 108 m
Mass of Earth 6.0 × 1024 kg
Mass of the Moon 7.35 × 1022 kg
– 7 –
14 The graph shows variation in magnetic flux through a coil with time.
Which graph best represents the corresponding induced emf in the coil?
15 A magnet can be levitated above a superconductor, when the superconductor is below itscritical temperature.
Which statement best describes how this occurs?
(A) All of the magnet’s field is absorbed by the superconductor.
(B) The superconductor creates currents in the magnet, resulting in a repulsive force.
(C) Cooper pairs are exchanged between the superconductor and the magnet throughits field.
(D) Some of the magnet’s field is excluded by the superconductor, resulting in arepulsive force.
Time
Magneticflux
Time
Inducedemf
(A)
Time
Inducedemf
(B)
Time
Inducedemf
(C)
Time
Inducedemf
(D)
– 8 –
16 An ideal electric motor connected to a DC voltage source rotates at a constant rate of200 revolutions per minute. There is no load on the motor.
Which of the following is a correct statement about the operation of the motor?
(A) The applied voltage must exceed the back emf in order to keep the motor running.
(B) There is no back emf because it is only produced in AC motors due to the changingflux.
(C) The back emf is equal to the applied voltage because no work is being done by themotor.
(D) The back emf must exceed the applied voltage to prevent the motor’s speed fromincreasing.
17 The following equipment is attached to a DC power supply.
What current must be flowing through the wires to result in a force of 2.50 × 10–3 Nbetween them?
(A) 0.224 A
(B) 5.00 A
(C) 12.5 A
(D) 25.0 A
2.00 mm2.00 mm 1.00 m
Copper wires
– +
Liquid conductor
NOT TOSCALE
– 9 –
– 10 –
18 The gravitational force, due to Earth, on a mass positioned at X is Fx and on the samemass positioned at Y is Fy. The diagram is drawn to scale.
What is the value of ?
(A) 1.5
(B) 2.0
(C) 2.25
(D) 4.0
19 The diagram represents an induction cooking system.
Which row in the following table shows the set of conditions that would result in the mostrapid heating of the base of the cooking pot?
AC voltage frequency Electrical resistance of pot base
Low Low
Low High
High Low
High High
(A)
(B)
(C)
(D)
Base of the cooking pot
Ceramic cooktop
AC voltage source
Earth
X Y THIS DIAGRAM ISDRAWN TO SCALE
F
Fx
y
20 A company wishes to develop a semiconductor sensor to detect thermal radiation frompeople. The sensor will work on the same principle as a solar cell.
Using the information provided, which semiconductor would be most suitable for thispurpose?
(A) HgCdTe
(B) InSb
(C) Si
(D) GaN
Inte
nsity
10 20
Wavelength (mm)
Typical Human Blackbody Radiation Curve
Semiconductor Band gap (eV)
HgCdTe 0.03
InSb 0.17
Si 1.1
GaN 3.4
– 11 –
BLANK PAGE
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© Board of Studies NSW 2012
2012 HIGHER SCHOOL CERTIFICATE EXAMINATION
Physics
Section I (continued)
Part B – 55 marksAttempt Questions 21–30Allow about 1 hour and 40 minutes for this part
Answer the questions in the spaces provided. These spaces provide guidance for the expectedlength of response.
Show all relevant working in questions involving calculations.
Question 21 (6 marks)
(a) Outline a first-hand investigation that could be performed to measure a value foracceleration due to gravity.
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(b) How would you assess the accuracy of the result of the investigation?
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(c) How would you increase the reliability of the data collected?
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(d) How would you assess the reliability of the data collected?
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Centre Number
Student Number
Question 22 (6 marks)
A bar magnet is placed on a sensitive electronic balance as shown in the diagram. Ahollow solenoid is held stationary, such that the magnet is partly within the solenoid.
The solenoid is then lifted straight up without touching the magnet. The reading onthe balance is observed to change briefly.
(a) Why does a current flow in the solenoid?
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(b) Explain the reason for changes in the reading on the electronic balance as thesolenoid is removed.
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N
Solenoid Copper wireshort circuit
Bar magnet
Electronic balanceS
42.42 g
2
4
– 14 –
Question 23 (4 marks)
Consider the following thought experiment.
Two towers are built on Earth’s surface. The height of each of the towers is equal tothe altitude of a satellite in geostationary orbit about Earth. Tower A is built at Earth’sNorth Pole and Tower B is built at the equator.
Identical masses are simultaneously released from rest from the top of each tower.Explain the motion of each of the masses after their release.
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Tower A
Tower B
NOT TOSCALE
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© Board of Studies NSW 2012
– 16 –
2012 HIGHER SCHOOL CERTIFICATE EXAMINATION
Physics
Section I – Part B (continued)
Question 24 (5 marks)
(a) Using a labelled diagram, outline the differences in the energy bands ofconductors, semiconductors and insulators.
(b) Explain why a current is able to flow in a pure semiconductor when an electricfield is applied across it.
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Centre Number
Student Number
BLANK PAGE
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© Board of Studies NSW 2012
2012 HIGHER SCHOOL CERTIFICATE EXAMINATION
Physics
Section I – Part B (continued)
Question 25 (7 marks)
(a) Why have transistor circuits largely replaced thermionic devices?
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(b) Assess the impact of the use of transistors on society.
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Centre Number
Student Number
Question 26 (6 marks)
A transmission line is to be used to supply 100 MW of power from a power station toa substation 100 km away. Three possible designs are shown below.
Question 26 continues on page 21
Power station120 MW
output
Substation100 MW input
33 kV input
Design A – Low voltage
100 km
Power stationwith step-uptransformer,
508 kV output
Design B – High voltage
40 W totalline resistance
Substation100 MW input500 kV input
100 km
100 km
Powerstation
Substation100 MW input
Design C – Superconducting
Superconductingtransmission line
The cooling requirements for the superconducting transmission line consume 30 kW per km of line
– 20 –
Question 26 (continued)
Using physics principles and appropriate calculations, evaluate each design to determinethe best way of transmitting power from the power station to the substation.
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End of Question 26
6
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© Board of Studies NSW 2012
2012 HIGHER SCHOOL CERTIFICATE EXAMINATION
Physics
Section I – Part B (continued)
Question 27 (4 marks)
A toy bird is launched at 60° to the horizontal, from a point 45 m away from the baseof a cliff.
Calculate the magnitude of the required launch velocity such that the toy bird strikesthe base of the wooden building at the top of the cliff, 34 m above the launch height.
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45 m
34 m NOT TOSCALE
4
– 23 –4004
Centre Number
Student Number
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© Board of Studies NSW 2012
– 24 –
2012 HIGHER SCHOOL CERTIFICATE EXAMINATION
Physics
Section I – Part B (continued)
Question 28 (7 marks)
(a) Outline ONE piece of evidence supporting Einstein’s theory of relativity.
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(b) What criteria are used to test and validate a theory?
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(c) The distance between the cathode and screen in a cathode ray tube is 40 cm.
If an electron travels through the tube at 3.0 × 107 m s–1, what is the apparentdistance from the cathode to the screen in the electron’s frame of reference?
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2
3
2
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Centre Number
Student Number
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© Board of Studies NSW 2012
2012 HIGHER SCHOOL CERTIFICATE EXAMINATION
Physics
Section I – Part B (continued)
Question 29 (5 marks)
How is the motor effect used to produce different sounds in a loudspeaker? Include alabelled diagram.
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Centre Number
Student Number
Question 30 (5 marks)
The diagram shows the paths taken by two moving charged particles when they entera region of uniform magnetic field.
(a) Why do the paths curve in different directions?
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(b) Why are the paths circular?
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(c) How do the properties of a particle affect the radius of curvature of its path in auniform magnetic field?
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1
2
Path P
Path Q
B = 1.0 T
2
– 28 –
© Board of Studies NSW 2012
2012 HIGHER SCHOOL CERTIFICATE EXAMINATION
Physics
Section II
25 marksAttempt ONE question from Questions 31–35Allow about 45 minutes for this section
For Questions 31–34• answer parts (a)–(c) of the question in Section II Answer Booklet 1.• answer parts (d)–(e) of the question in Section II Answer Booklet 2.Extra writing booklets are available.
For Question 35• answer parts (a)–(b) of the question in Section II Answer Booklet 1.• answer parts (c)–(d) of the question in Section II Answer Booklet 2.Extra writing booklets are available.
Show all relevant working in questions involving calculations.
Pages
Question 31 Geophysics ........................................................................... 31–33
Question 32 Medical Physics ......................................................................... 34
Question 33 Astrophysics ......................................................................... 35–36
Question 34 From Quanta to Quarks ............................................................. 37
Question 35 The Age of Silicon ............................................................... 38–39
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– 30 –
Question 31 — Geophysics (25 marks)
Answer parts (a)–(c) in Section II Answer Booklet 1.
(a) Jean Richer observed that a pendulum clock, which was accurately calibrated inParis, lost about 150 seconds per day when it was used on the equatorial islandof Cayenne.
Outline the effects of TWO variables that changed the behaviour of the clock.
(b) (i) Why does Earth’s magnetic field change over time?
(ii) A website used the following model to explain Earth’s magnetic field.
Analyse the validity of this model.
Question 31 continues on page 32
3
3
2
NN
SS
Barmagnet
Axis ofrotation
GeographicNorth Pole
– 31 –
Question 31 (continued)
(c) (i) Data obtained from a shot-geophone analysis is shown on the followinggraph.
Outline what the lines C1 and C2 on this graph represent.
(ii) Account for the behaviour of P waves and S waves represented by thefollowing graph.
Question 31 continues on page 33
Time forsignal arrival
C1
C2
Distancefrom shot
Distancefrom shot
2
4
6
Velocity(km s–1)
Depth (km)
1000 2000 4000
S wave
P wave
3000 5000
8
10
12
14
4
2
– 32 –
Question 31 (continued)
Answer parts (d)–(e) in Section II Answer Booklet 2.
(d) (i) What is the significance of the magnetic anomalies associated with rocksadjacent to mid-ocean ridges?
(ii) Other than the geometric fit of continents or magnetic evidence, whatevidence supports the theory of plate tectonics?
(e) How is remote sensing used to obtain information about Earth?
End of Question 31
6
3
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– 33 –
Question 32 — Medical Physics (25 marks)
Answer parts (a)–(c) in Section II Answer Booklet 1.
(a) (i) The first X-ray image of a human was made in 1895 but it was not until1972 that CAT scan imaging was developed.
Account for the time interval between the development of these tworelated technologies.
(ii) Contrast the information provided by PET scans and CAT scans.
(iii) Contrast the production of radiation used for PET scans and CAT scans.
(b) (i) What effects do the pulses of radio waves have on hydrogen nuclei in thebody of a person having a magnetic resonance image scan?
(ii) Outline how advances in physics in the 20th century contributed to thedevelopment of magnetic resonance imaging.
(c) Describe the properties that make a radioactive isotope useful for medicalimaging. Include a specific example of a radioactive isotope in your answer.
Answer parts (d)–(e) in Section II Answer Booklet 2.
(d) Explain how endoscopes obtain images of internal organs.
(e) Discuss the range of information obtained from, and the limitations of,ultrasound medical imaging technology.
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3
2
3
2
3
3
6
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Question 33 — Astrophysics (25 marks)
Answer parts (a)–(c) in Section II Answer Booklet 1.
(a) (i) Why do astronomers use both apparent and absolute measurements inphotometry?
(ii) Compare how astronomers obtain photometric and spectroscopic data.
(b) (i) Describe the problems associated with ground-based optical astronomyin terms of resolution.
(ii) How can the resolution of ground-based optical telescopes be improved?
(c) (i) Draw a flow diagram for stellar evolution using the following celestialobjects:
• Black hole
• Main sequence star
• Neutron star/pulsar
• Planetary nebula
• Red giant
• Supernova
• White dwarf.
(ii) All naturally occurring elements have been synthesised within stars.Explain how this occurs.
Answer parts (d)–(e) in Section II Answer Booklet 2.
(d) (i) Explain how trigonometric parallax is used to determine the distances tostars.
(ii) Outline ONE limitation of using trigonometric parallax to determinedistances to stars.
Question 33 continues on page 36
1
4
3
1
3
2
3
2
– 35 –
Question 33 (continued)
(e) Astronomers have obtained the following data about stars in a binary system.
Analyse the above data to write a detailed description of this binary system.
End of Question 33
Star A Star B
Apparent magnitude 0.34 13.16
Spectral class F5 A4
Luminosity (relative to Sun) 7.3 0.0063
Average separation 2.2 × 109 km
O10–4
10–2
1
102
104
+15
+10
+5
0
–5
–10
B ASpectral type
Herzsprung-Russell Diagram
Lum
inos
ity (
sola
r un
its) A
bsolute magnitude
F G K M
1.0
0 10 30 50Time (years)
Light Curve for the Binary System
Rel
ativ
e br
ight
ness
70
6
– 36 –
Question 34 — From Quanta to Quarks (25 marks)
Answer parts (a)–(c) in Section II Answer Booklet 1.
(a) (i) Using diagrams and text, outline Bohr’s explanation of the Balmerseries.
(ii) Outline TWO observations from atomic emission spectra that could notbe fully explained by the Rutherford-Bohr model.
(b) (i) What are the requirements for an uncontrolled nuclear chain reaction?
(ii) How does the equivalence between mass and energy relate to whatoccurs during the natural radioactivity process?
(c) How can neutrons be used to probe the positions of nuclei within the structure ofa metal crystal? Make reference to the work of Louis de Broglie in your answer.
Answer parts (d)–(e) in Section II Answer Booklet 2.
(d) (i) Explain how the internal structures of the proton and neutron determinetheir properties.
(ii) How are accelerators used to investigate the structure of matter?
(e) Describe the role of conservation laws in the development of atomic physics.
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6
3
2
3
4
2
2
– 37 –
Question 35 — The Age of Silicon (25 marks)
Answer parts (a)–(b) in Section II Answer Booklet 1.
(a) A circuit and a graph of the thermistor characteristic curve are shown. In thecircuit the thermistor and R5 are firmly attached to a metal block, and all threeare at the same temperature.
Question 35 continues on page 39
–
+
+15 V
R1 12 kW R3 20 kW
R4 47 kW
R2 10 kW
R5 40 W
X
Box A
Metal block
+15 V
Objects within dotted box are thermally connected
100 000
10 000
1000
1000 20 40 60 80 100
Thermistor characteristic curve
Temperature (°C)
Res
ista
nce
(W)
– 38 –
Question 35 (continued)
(i) Classify the circuit on the opposite page as an electric circuit or anelectronic circuit and justify your choice.
(ii) Identify the functions of the TWO transducers in this circuit.
(iii) Draw a set of axes in your booklet and sketch how the voltage at point Xvaries with temperature.
(iv) Describe the function of the circuit in Box A.
(v) Calculate the equilibrium temperature achieved by the metal block inthis circuit, assuming that the block is thermally connected to thethermistor and R5.
(b) Explain the use of relays, rather than transistors, to switch large currents incircuits.
Answer parts (c)–(d) in Section II Answer Booklet 2.
(c) For the logic circuit shown, construct a truth table.
(d) Analyse how the development of modern electronics has been influenced by ourincreased understanding of the properties of materials and the development ofcomplex manufacturing techniques.
End of paper
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© Board of Studies NSW 2012
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– 41 –
DATA SHEET
Charge on electron, qe –1.602 × 10–19 C
Mass of electron, me 9.109 × 10–31 kg
Mass of neutron, mn 1.675 × 10–27 kg
Mass of proton, mp 1.673 × 10–27 kg
Speed of sound in air 340 m s–1
Earth’s gravitational acceleration, g 9.8 m s–2
Speed of light, c 3.00 × 108 m s–1
Magnetic force constant, 2.0 × 10–7 N A–2
Universal gravitational constant, G 6.67 × 10–11 N m2 kg–2
Mass of Earth 6.0 × 1024 kg
Planck constant, h 6.626 × 10–34 J s
Rydberg constant, R (hydrogen) 1.097 × 107 m–1
Atomic mass unit, u 1.661 × 10–27 kg
931.5 MeV/c2
1 eV 1.602 × 10–19 J
Density of water, ρ 1.00 × 103 kg m–3
Specific heat capacity of water 4.18 × 103 J kg–1 K–1
k ≡⎛⎝⎜
⎞⎠⎟
μπ0
2
2012 HIGHER SCHOOL CERTIFICATE EXAMINATION
Physics
4008
– 42 –
E Gm m
r
F mg
v u
v u at
v u a y
x
p
x x
y y y
= −
=
=
= +
= +
=
1 2
2 2
2 2 2 Δ
Δ uu t
y u t a t
r
T
GM
FGm m
d
E mc
l
x
y y
v
Δ = +
=
=
=
1
22
3
2 2
1 2
2
2
4π
== −
=
−
=
−
lv
c
tt
v
c
mm
v
c
v
v
0
0
0
1
1
1
2
2
2
2
2
2
v f
Id
v
v
i
r
EFq
RV
I
P VI
VI
=
=
=
=
=
=
∝
λ
12
1
2
sin
sin
Energy tt
vr
t
av
ta
v u
t
F m
av
av avtherefore
=
= = −
=
ΔΔ
ΔΔ
Σ aa
Fmv
r
E mv
W Fs
p mv
Ft
k
=
=
=
=
=
2
212
Impulse
FORMULAE SHEET
– 43 –
FORMULAE SHEET
dp
M md
I
I
m m
A
B
m mB A
=
= − ⎛⎝⎜
⎞⎠⎟
=
+ =
−( )
1
510
1005
1 2
log
44
1 1 1
2 3
2
2 2
0
π
λ
λ
r
GT
Rn n
hmv
AV
V
f i
= −⎛
⎝⎜⎜
⎞
⎠⎟⎟
=
= out
iin
out
in
f
i
V
V
R
R= −
F
lk
I I
d
F BIl
Fd
nBIA
V
V
n
n
F
p
s
p
s
=
=
=
=
=
=
1 2
sin
cos
θ
τ
τ θ
qqvB
EV
d
E h f
c f
Z v
I
I
Z Z
Z Z
r
sinθ
λ
ρ
=
=
=
=
=−⎡⎣ ⎤⎦
+0
2 12
2 112⎡⎣ ⎤⎦
– 44 –
112
Cn
Cop
erni
cium
9 F19
.00
Fluo
rine
17 Cl
35.4
5C
hlor
ine
35 Br
79.9
0B
rom
ine
53 I12
6.9
Iodi
ne
85 At
Ast
atin
e
7 N14
.01
Nitr
ogen
15 P30
.97
Phos
phor
us
33 As
74.9
2A
rsen
ic
51 Sb12
1.8
Ant
imon
y
83 Bi
209.
0B
ism
uth
5 B10
.81
Bor
on
13 Al
26.9
8A
lum
iniu
m
31 Ga
69.7
2G
alliu
m
49 In11
4.8
Indi
um
81 Tl
204.
4T
halli
um
107
Bh
Boh
rium
108
Hs
Has
sium
109
Mt
Mei
tner
ium
110
Ds
Dar
mst
adtiu
m
111
Rg
Roe
ntge
nium
87 Fr
Fran
cium
88 Ra
Rad
ium
89–1
03
Act
inoi
ds
104
Rf
Rut
herf
ordi
um
105
Db
Dub
nium
106
Sg
Seab
orgi
um
57 La
138.
9L
anth
anum
89 Ac
Act
iniu
m
1 H1.
008
Hyd
roge
n
PE
RIO
DIC
TA
BL
E O
F T
HE
EL
EM
EN
TS
KE
Y
2 He
4.00
3H
eliu
m
3 Li
6.94
1L
ithiu
m
4 Be
9.01
2B
eryl
lium
Ato
mic
Num
ber
Sym
bol
Stan
dard
Ato
mic
Wei
ght
Nam
e
79 Au
197.
0G
old
6 C12
.01
Car
bon
8 O16
.00
Oxy
gen
10 Ne
20.1
8N
eon
11 Na
22.9
9So
dium
12 Mg
24.3
1M
agne
sium
14 Si28
.09
Silic
on
16 S32
.07
Sulf
ur
18 Ar
39.9
5A
rgon
19 K39
.10
Pota
ssiu
m
20 Ca
40.0
8C
alci
um
21 Sc44
.96
Scan
dium
22 Ti
47.8
7T
itani
um
23 V50
.94
Van
adiu
m
24 Cr
52.0
0C
hrom
ium
25 Mn
54.9
4M
anga
nese
26 Fe55
.85
Iron
27 Co
58.9
3C
obal
t
28 Ni
58.6
9N
icke
l
29 Cu
63.5
5C
oppe
r
30 Zn
65.3
8Z
inc
32 Ge
72.6
4G
erm
aniu
m
34 Se78
.96
Sele
nium
36 Kr
83.8
0K
rypt
on
37 Rb
85.4
7R
ubid
ium
38 Sr87
.61
Stro
ntiu
m
39 Y88
.91
Yttr
ium
40 Zr
91.2
2Z
irco
nium
41 Nb
92.9
1N
iobi
um
42 Mo
95.9
6M
olyb
denu
m
43 Tc
Tech
netiu
m
44 Ru
101.
1R
uthe
nium
45 Rh
102.
9R
hodi
um
46 Pd10
6.4
Palla
dium
47 Ag
107.
9Si
lver
48 Cd
112.
4C
adm
ium
50 Sn11
8.7
Tin
52 Te12
7.6
Tellu
rium
54 Xe
131.
3X
enon
55 Cs
132.
9C
aesi
um
56 Ba
137.
3B
ariu
m
57–7
1
Lan
than
oids
72 Hf
178.
5H
afni
um
73 Ta18
0.9
Tant
alum
74 W18
3.9
Tun
gste
n
75 Re
186.
2R
heni
um
76 Os
190.
2O
smiu
m
77 Ir19
2.2
Irid
ium
78 Pt19
5.1
Plat
inum
79 Au
197.
0G
old
80 Hg
200.
6M
ercu
ry
82 Pb20
7.2
Lea
d
84 Po
Polo
nium
86 Rn
Rad
on
58 Ce
140.
1C
eriu
m
59 Pr14
0.9
Pras
eody
miu
m
60 Nd
144.
2N
eody
miu
m
61 Pm
Prom
ethi
um
62 Sm 150.
4Sa
mar
ium
63 Eu
152.
0E
urop
ium
64 Gd
157.
3G
adol
iniu
m
65 Tb
158.
9Te
rbiu
m
66 Dy
162.
5D
yspr
osiu
m
67 Ho
164.
9H
olm
ium
68 Er
167.
3E
rbiu
m
69 Tm
168.
9T
huliu
m
70 Yb
173.
1Y
tterb
ium
71 Lu
175.
0L
utet
ium
90 Th
232.
0T
hori
um
91 Pa23
1.0
Prot
actin
ium
92 U23
8.0
Ura
nium
93 Np
Nep
tuni
um
94 Pu
Plut
oniu
m
95 Am
Am
eric
ium
96 Cm
Cur
ium
97 Bk
Ber
keliu
m
98 Cf
Cal
ifor
nium
99 Es
Ein
stei
nium
100
Fm
Ferm
ium
101
Md
Men
dele
vium
102
No
Nob
eliu
m
103
Lr
Law
renc
ium
Act
inoi
ds
Lan
than
oids
Ele
men
ts w
ith a
tom
ic n
umbe
rs 1
13 a
nd a
bove
hav
e be
en r
epor
ted
but n
ot f
ully
aut
hent
icat
ed.
Stan
dard
ato
mic
wei
ghts
are
abr
idge
d to
fou
r si
gnif
ican
t fig
ures
.E
lem
ents
with
no
repo
rted
val
ues
in th
e ta
ble
have
no
stab
le n
uclid
es.
The
Int
erna
tiona
l Uni
on o
f Pu
re a
nd A
pplie
d C
hem
istr
y Pe
riod
ic T
able
of
the
Ele
men
ts (
Febr
uary
201
0 ve
rsio
n) is
the
prin
cipa
l sou
rce
of d
ata.
Som
e da
ta m
ay h
ave
been
mod
ifie
d.