Physics 1121 A Cheat Sheet

7/25/2019 Physics 1121 A Cheat Sheet

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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

!!" ! !! !"# !


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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

!!"! !

!" ! ! ! !!"#


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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

!! !!

!!


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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!! ! !!

!!


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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

!"# ! !!"#$!!"!


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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

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Physics 1121 A Cheat Sheet