PHYSICS ATAR COURSE YEAR 12 FORMULAE AND DATA BOOKLET 2022
[Pages:8]PHYSICS ATAR COURSE YEAR 12
FORMULAE AND DATA BOOKLET
2022
2021/68707
Physics Year 12 Formulae and Data Booklet 2022
PHYSICS YEAR 12
2
FORMULAE AND DATA BOOKLET
Note: the variable t refers to the 'time taken', sometimes referred to as the 'change in time' or t.
Gravity and motion
Average velocity Equations of motion
vav
=
s t
v uat
s ut ?at2
v2 u2 2as
p = mv
Force Weight force
Fnet = m a Fweight = m g
Kinetic energy Gravitational potential energy Work done Equations of circular motion Newton's law of universal gravitation Kepler's 3rd law Gravitational field strength Moment of a force (force at angle to lever arm)
Ek = ? m v2
Ep mg'h
W = Fs
W 'E
v 2S r T
ac
=
v2 r
Fg
=G
m1 m2 r2
T 2 4S 2
r3 GM
=g
F=g m
G
M r2
W r F sinT
resultant= Fc
m= ac
mv2 r
Wave particle duality and the quantum theory
Wave period Wave equation
T=1 f
c fO
Energy of photon Energy transitions
E=hf 'E hf
E hc O
' E E2 E1
Photoelectric effect de Broglie wavelength
Ek h f W O h
p
See next page
FORMULAE AND DATA BOOKLET
3
PHYSICS YEAR 12
Electromagnetism Coulomb's law Electric field strength Magnetic field strength Magnetic force on a charged particle Magnetic force on a current-carrying conductor Particle motion in a magnetic field Torque on a coil Magnetic flux Electromagnetic induction
Ohm's law Electric current Ideal transformer turns ratio
F
1 q1 q2 4S H0 r 2
E= F= V qd
B P0 I 2S r
F qvB where v A B
F IB where A B
r = mv qB
W rAF
) B AA
induced emf : H vB where v B
induced emf : H N ()2 )1) N ' ) N '(B AA )
t
t
t
AC
generator
emf max
:
H max
2NvB 2S N B AA f
H rms
H max 2
V =IR
I=q t
Vp = Np Vs Ns
Work and energy W = V q
Power
P =VI
Special relativity Relativistic effects
Relativistic momentum Mass-energy equivalence
0
(1 v2 ) c2
u
vu' 1 vu'
c 2
pv
mv
(1 v2 )
c2
Et
mc2 (1 v2 )
c2
t
t0
(1 v2 )
c 2
u'
uv 1 uv
c2
Hubble's law Rest energy Total energy
v = H0d Erest = m c2 Et Ek Erest
See next page
PHYSICS YEAR 12 The Standard Model Elementary particles
4
FORMULAE AND DATA BOOKLET
Electromagnetic spectrum Electromagnetic spectrum
Wavelength
(m)
102 10 1 10-1 10-2 10-3 10-4 10-5 10-6 10-7 10-8 10-9 10-10 10-11 10-12
visible
Area of
spectrum
f (Hz)
radio frequencies
microwaves
infrared radiation
ultraviolet radiation
X-rays gamma rays
106 107 108 109 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 Frequency
Note: shaded areas represent regions of overlap.
See next page
FORMULAE AND DATA BOOKLET
5
Physical data
Mean acceleration due to gravity on the Earth....... g = 9.80 m s-2
Mean acceleration due to gravity on the Moon...... gM = 1.62 m s-2
Mean radius of the Earth........................................ RE = 6.37 ? 106 m
Mass of the Earth................................................... ME = 5.97 ? 1024 kg
Mean radius of the Sun.......................................... RS = 6.96 ? 108 m
Mass of the Sun..................................................... MS = 1.99 ? 1030 kg
Mean radius of the Moon........................................ RM = 1.74 ? 106 m
Mass of the Moon................................................... MM = 7.35 ? 1022 kg
Mean Earth-Moon distance....................................
= 3.84 ? 108 m
Mean Earth-Sun distance.......................................
= 1.50 ? 1011 m
Mass (at rest) of electron ....................................... me Mass (at rest) of proton.......................................... mp Tonne...................................................................... 1 t
= 9.11 ? 10-31 kg = 1.67 ? 10-27 kg = 103 kg
PHYSICS YEAR 12
Physical constants
Speed of light in vacuum or air............................... c Electron charge...................................................... e Planck constant...................................................... h Newtonian constant of gravitation.......................... G Electric constant..................................................... 0 Magnetic constant.................................................. ?0
= 3.00 ? 108 m s-1 = -1.60 ? 10-19 C = 6.63 ? 10-34 J s = 6.67 ? 10-11 N m2 kg-2 = 8.85 ? 10-12 F m-1 = 4 ? 10?7 N A?2 = 1.26 ? 10?6 N A?2
Conversions
Electron volt............................................................ 1 eV = Light year................................................................ ly = Megaparsec............................................................ Mpc =
1.60 ? 10-19 J 9.46 ? 1012 km 3.09 ? 1019 km = 3.26 ? 106 ly
See next page
PHYSICS YEAR 12 Prefixes of the metric system
Factor 1012 109 106 103
Prefix tera giga mega kilo
Symbol T G M k
6
FORMULAE AND DATA BOOKLET
Factor 10-3 10-6 10-9 10-12
Prefix milli micro nano pico
Symbol m ? n p
Mathematical expressions
Quadratic equations
Given ax2 + bx + c = 0, x = -b ? b2 - 4ac 2a
Triangles The following expressions apply to the triangle ABC as shown:
B
c
a
A
b
C
a sin A
=
b sin B
=
c sin C
a = b2 + c2 - 2bc cos A
End of booklet
This page has been left blank intentionally
Elementary particles
ACKNOWLEDGEMENTS
Adapted from Standard Model image: MissMJ. (2006). File:Standard Model of Elementary Particles.svg. Retrieved June, 2016, from Particles.svg Used under Creative Commons Attribution 3.0 Unported licence.
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