7/25/2019 Physics 1121 A Cheat Sheet
1/8
Learn your uni course in one day Check
spoonfeedme.com
for
free video summaries notes and cheat sheets
by top students
CHE T SHEET
PHYS1121: Physics 1A
University of New South Wales
1 Particle Kinematics in One
Dimension
Vector A measurement with both magnitude and
direction (e.g. Displacement)
Scalar A measurement with only magnitude (e.g.
distance)
Average Velocity
!!"# !
!!
!!
Instantaneous Velocity
!!"#$ !
!"
!"
Average Acceleration
!!"# !
!!
!!
Instantaneous Acceleration
!!"#$ !
!"
!"
Final Velocity
!!" ! !!" ! !!!
Final Displacement with Avg. Velocity
!
! ! !
!
! !
!
!!!"
! !!"
!!
Final Displacement with Velocity and Acceleration
!! ! !! ! !!"! !!
!!!!!
Final Velocity without Time
!!"!! !!"
!! !!
! !! ! !!
Objects in Freefall Acceleration is g (9.8m/s2)
2 Motion in Two and Three
Dimensions
Vector Addition Tip to Tail
Vector Subtraction From the negative to the
positive, or add the negative !! ! !
!!! !!!
!)
Vector Multiplication/Division by a Scalar Only
magnitude is multiplied or divided. Direction is
reversed for negative scalars.
Vector Components
Length
! ! !!
!
! !!
!
Direction
! ! !"#!!
!!
!!
Unit Vectors:
!
=!
x!
+!
y!Projectile Motion
Position
!! ! !! ! !!! !!
!!!
!
Initial Horizontal Velocity
!!" ! !! !"# !
Initial Vertical Velocity
!!" ! !! !"# !
7/25/2019 Physics 1121 A Cheat Sheet
2/8
Learn your uni course in one day Check
spoonfeedme.com
for
free video summaries notes and cheat sheets
by top students
CHE T SHEET
Uniform Circular Motion
Centripetal Acceleration
!! !
!!
!
Overall Acceleration
!!! ! !!
!! !
!!
Period
! !!!"
!
Relative Velocity
!!" ! !!" ! !!"!
3 Particle Dynamics
Newtons 1stLaw- In the absence of external forces,
when viewed from an inertial reference frame, an
object at rest will remain at rest and an object in
motion continues in motion with a constant velocity
Newtons 2ndLaw- Net Force is the product of Mass
and Acceleration
!" !!"
Newtons 3rdLaw- If two objects interact, the force
that object one is exerting on object 2 is equal and
opposite to that object two is exerting on object one
!!" ! !!!"
Equilibrium
!" ! !
Friction
Kinetic Friction
! ! !!!
Static Friction
! ! !!!
Circular Motion Dynamics
! !!!! !!
!!
!
4 Work and Energy
Scalar/Dot Product
! ! ! ! !"#$%&
Work
Same Direction as Displacement
! ! !!!
Different Direction to Displacement
! ! !!!"#$%
Work by Varying Force
!!"# ! !!
!!
!!
!"
Hookes Law
!! ! !!"
Kinetic Energy
!" !!
!!!
!
Work-Kinetic Energy Theorem
!" ! !"#
Potential Energy
Gravitational
! !!"#$
Elastic
! !!
!!!
!
Conservative Force- Work done is independent of
the path taken by an object (e.g. Gravity)
Non-conservative Force -Work done dependent onthe motion of the object (e.g. Friction)
Conservation of Energy
Mechanical Energy
!!"#! ! !" ! !
Total Energy
!!"! !
!" ! ! ! !!"#
7/25/2019 Physics 1121 A Cheat Sheet
3/8
7/25/2019 Physics 1121 A Cheat Sheet
4/8
Learn your uni course in one day Check
spoonfeedme.com
for
free video summaries notes and cheat sheets
by top students
CHE T SHEET
Moment of Inertia
General
! ! !"!
!"
Sphere
! !!
!!!
!
Cylinder
! !!
!!!
!
Disk
! !!!!
Parallel Axis Theorem
! ! !!"!!!!
Torque
Using Radius
! ! !"#$%&
Using Perpendicular Distance
! ! !"
Net Torque
!" ! !"
7 Gravity
Newtons Law of Gravitation:
Magnitude
!! ! !!!!!
!!
Force Vector
!!" ! !!!!!!
!!
!!"
Gravity on Earth
! ! !!
!
!!!! !!!
Keplers 3rd
Law
!!!
!!!
!!!
! !!
Gravitational Field
! !!"
!! !
Gravitational Potential Energy
! ! ! !!!!!!
!
8 Temperature
Thermal Properties of Matter
Length Expansion!! ! !!!!!
Area Expansion
! ! !!!!!!
Volume Expansion
!! ! !"!!"#
Latent Heat
! !!"
9 Kinetic Theory and the Ideal
Gas
Pressure
! !!
!
Ideal Gas Law:
Given Number of Moles
!" ! !"# Boltzmann Constant
!! !!
!!
7/25/2019 Physics 1121 A Cheat Sheet
5/8
Learn your uni course in one day Check
spoonfeedme.com
for
free video summaries notes and cheat sheets
by top students
CHE T SHEET
Given Number of Molecules
!" ! !!!!
Comparison of Gases of Equal Moles
!!!!
!!
!
!!!!
!!
Kinetic Theory of Gases
! ! !
!!!!!
!!!!
!!
Degrees of Freedom (f)
Monatomic = 3f
Diatomic
o
3f (T < 100K)
o 5f (T < 1000K)
o 7f (T > 1000K)
Polyatomic = Many f
Equipartition of Energy
!!"# !!
!!"!!!
Thermal Processes
Adiabatic! ! !, !!!is constant and !!!"# !!
Isothermal
!!!"# ! !and !"is constant
Isobaric
!
!is constant and ! ! !!!!!
Isovolumetric
!
!is constant, ! ! !!
!!!and !!!"# ! !
10 Heat and the First Law of
Thermodynamics
Heat
! !!"#$
Energy Transfer Mechanisms
Conduction
! ! !"!! ! !!
!
Radiation
! ! !"#!!
First Law of Thermodynamics
!!!"# ! ! !!
Work Done on a Gas
General
! ! ! !"#
!!
!!
Constant Pressure
! ! !!"#
Specific Heat of Gases
Molar Specific Heat
! ! !!!"#$%!"
Specific Heat at Constant Volume
!! !
!
!!
Specific Heat at Constant Pressure
!! !! ! !
!!
Gamma
! !!!
!!
11 Oscillations
Simple Harmonic Motion
General Equation
! ! ! !"#$!!" ! !!
Acceleration!! ! !!
!!
7/25/2019 Physics 1121 A Cheat Sheet
6/8
Learn your uni course in one day Check
spoonfeedme.com
for
free video summaries notes and cheat sheets
by top students
CHE T SHEET
Angular Frequency
! !
!
!
Period
! !!!
!
Frequency
! !!
!!!
!
!
Energy
!!"#! !
!
!!!
!
Velocity
! ! !! !! ! !!
SHM and Circular Motion Uses SHM
formulae for each direction of movement
SHM and the Pendulum
o Period
! ! !!!
!
o
Physical Pendulum
! ! !!!
!"#
Dampened Oscillations Critical Dampening occurs
when frequency of retarding force matches natural
frequency of oscillating object.
Forced Oscillations Resonance occurs when
frequency of driving force matches natural frequency
of oscillating object
12 Wave Motion
Wave Number
! !!!
!
Wave Equation
! !!! ! !"#$ !" ! !" !!
Speed of Wave on a String
! !
!
!
Reflection of a Pulse
When a pulse hits a fixed boundary, reflection
is inverted
When a pulse hits a free boundary, reflection
is not inverted
When a pulse moves from a light to a heavy
string the reflected pulse is inverted
When a pulse moves from a heavy to a light
string, the reflection is not inverted
Superposition
! ! !!"#$ !" ! !" !!
!!"#
!
!
Interference
!"#!!"##$%$&'$
! !!! ! !!!"#!"##$%$&'$
Standing Waves on a String
Formula
! ! !!"#$ !" !"#!!"!
Amplitude
!"# ! !!"#$!!"!
7/25/2019 Physics 1121 A Cheat Sheet
7/8
7/25/2019 Physics 1121 A Cheat Sheet
8/8
Learn your uni course in one day Check
spoonfeedme.com
for
free video summaries notes and cheat sheets
by top students
CHE T SHEET
Gravity
G = 6.6738 x 1011
Nm2/kg
2
Temperature
0C = 273K
Kinetic Theory and the Ideal Gas
R = 8.314 J/mol.K
kb= 1.38x10-23
J/K
Pa = kg/m.s2
1atm = 101325Pa
1atm = 760mmHg
mmHg = torrHeat and The First Law of Thermodynamics
!= 5.6696 x 108W.m
2.K
4