Physics Formula List

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Physics Formula Sheet

Cody T. Dianopoulos(561)252-0803

[email protected]

May 28, 2012

Abstract

This is a formula sheet for Dr. Einsteins Physics 1 Honors.

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Contents

1 Chapter 2: Motion in One Dimension 3

2 Chapter 3: Two-Dimensional Motion and Vectors 3

3 Chapter 4: Forces and the Laws of Motion 4

4 Chapter 5: Work and Energy 4

5 Chapter 6: Momentum and Collisions 5

6 Chapter 7: Circular Motion and Gravitation 5

7 Fluid Mechanics 6

8 Chapter 9: Heat 6

9 Chapter 10: Thermodynamics 7

10 Chapter 11: Vibrations and Waves 7

11 Chapter 12: Sound 7

12 Chapter 13: Light and Reflection 8

13 Chapter 14: Refraction 8

14 Chapter 15: Interference and Diffraction 9

15 Chapter 16: Electric Forces and Fields 9

16 Chapter 17: Electrical Energy and Current 9

17 Chapter 18: Circuits and Circuit Elements 10

18 Chapter 19: Magnetism 10

19 Chapter 20: Electromagnetic Induction 11

20 Chapter 21: Atomic Physics 11

21 Chapter 22: Subatomic Physics 11

22 References 11

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1 Chapter 2: Motion in One Dimension

Displacement

x= xf xiAverage Velocity

vavg =x

t =

xf xitf ti

Average Acceleration

aavg =v

t =

vf vitf ti

Displacement with Constant Acceleration

x=

1

2 (vi+ vf)t= vit +

1

2 a(t)2

Velocity with Constant Acceleration

vf=vi+ at

Final Velocity After Any Displacement

v2f=v2

i + 2ax

2 Chapter 3: Two-Dimensional Motion and Vec-

tors

Vertical Motion of a Projectile that Falls from Rest

vy,f =ayt

v2y,f= 2ayy

y=1

2ay(t)

2

Horizontal Motion of a Projectile

vx= vx,i= constant

x= vxt

Projectiles Launched at an Angle

vx= vx,i= vicos

x= (vicos )tvy,f=visin + ayt

v2y,f=v2

i (sin )2 + 2ayy

y= (visin )t +1

2ay(t)

2

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3 Chapter 4: Forces and the Laws of Motion

Newtons Second Law

F =ma

Coefficient of Friction

k = Fk

Fn

s= Fs,max

Fn

Ff=Fn

4 Chapter 5: Work and EnergyNet Work Done by a Constant Net Force

Wnet= Fnetd cos

Kinetic Energy

KE=1

2mv2

Work-Kinetic Energy Theorem

Wnet= KE

Gravitational Potential EnergyP Eg = mgh

Elastic Potential Energy

P Eelastic=1

2kx2

Conservation of Mechanical Energy

M Ei= M Ef

Power

P= W

t

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5 Chapter 6: Momentum and Collisions

Momentum

p= mv

Impulse-Momentum Theorem

Ft= p= mvf mviPerfectly Inelastic Collision

m1v1,i+ m2v2,i= (m1+ m2)vf

Momentum and Kinetic Energy are Conserved in an Elastic Collision

m1v1,i+ m2v2,i= m1v1,f+ m2v2,f

1

2m1v

2

1,i+1

2m2v

2

2,i=1

2m1v

2

1,f+1

2m2v

2

2,f

6 Chapter 7: Circular Motion and Gravitation

Centripetal Acceleration

ac = v2t

r

Centripetal Force

Fc = mv2t

rNewtons Law of Universal Gravitation

Fg = (6.673 1011)m1m2

r2

Period and Speed of an Object in Circular Orbit

T=

r3

(6.673 1011)m

vt =

(6.673 1011) m

r

Torque

=F d sin

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7 Fluid Mechanics

Mass Density

= m

V

Buoyant Force

FB =Fg(displaced fluid) =mfg

Net Force of an Object with a Constant Buoyant Force

Fnet= FB Fg(object) =mfg mogBuoyant Force on Floating Objects

FB =Fg(object) =mog

Relationship Between the Weight of a Submerged Object and the BuoyantForce on the Object

Fg(object)

FB=

o

f

Pressure

P= F

A

Fluid Pressure as a Function of Depth

P =P0+ gh = 1.01 105 + ghContinuity Equation

A1v1 = A2v2

8 Chapter 9: Heat

Celsius-Fahrenheit Temperature Conversion

TF =9

5TC+ 32.0

Celsius-Kelvin Temperature Conversion

T =TC+ 273.15

Conservation of Energy

P E+ KE+ U= 0

Specific Heat Capacity

cp = Q

mt

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9 Chapter 10: Thermodynamics

Work Done by a Gas

W =PV

The First Law of Thermodynamics

U=Q WEquation for the Efficiency of a Heat Engine

ef f= Wnet

Qh=

Qh QcQh

= 1 QcQh

10 Chapter 11: Vibrations and Waves

Hookes Law

Felastic= kxPeriod and Frequency are Inversely Related

f= 1

T

Period of a Simple Pendulum in Simple Harmonic Motion

T = 2

L

ag

Period of a Mass-Spring System in Simple Harmonic Motion

T= 2

m

k

Speed of a Wave

v= f

11 Chapter 12: Sound

Intensity of a Spherical Wave

intensity = P4r2

Harmonic Series of Standing Waves on a Vibrating String

fn= n v

2L where n N

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Harmonic Series of a Pipe Open at Both Ends

fn= n v2L

where n N

Harmonic Series of a Pipe Closed at One End

fn= n v

4L where n N

12 Chapter 13: Light and Reflection

Wave Speed Equation

c= f

Mirror Equation

1

p+

1

q =

1

f

Equation for Magnification

M= h

h = q

p

13 Chapter 14: Refraction

Index of Refraction

n= c

vSnells Law

nisin i = nrsin r

Thin-Lens Equation

1

p+

1

q =

1

f

Magnification of a Lens

M= h

h = q

p

Critical Angle

sin c = nr

niforni > nr

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14 Chapter 15: Interference and Diffraction

Equation for Constructive Interference

d sin = mwhere m ZEquation for Destructive Interference

d sin = (m +12

) where m Z

15 Chapter 16: Electric Forces and Fields

Coulombs Law

Felectric= (8.99

109)q1q2

r2

Electric Field Strength Due to a Point Charge

E= (8.99 109) qr2

16 Chapter 17: Electrical Energy and Current

Electrical Potential Energy in a Uniform Electric Field

P Eelectric= qEdPotential Difference

V =P Eelectricq

Potential Difference in a Uniform Electric Field

V = EdPotential Difference Between a Point at Infinity and a Point Near a Point

Charge

V = (8.99 109) qr

Capacitance

C=

Q

V

Capacitance for a Parallel-Plate Capacitor in a Vacuum

C= (8.85 1012) Ad

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Electrical Potential Energy Stored in a Charged Capacitor

P Eelectric= 12

QV

Electric Current

I=Q

t

Resistance

R=V

I

Electric Power

P =IV

17 Chapter 18: Circuits and Circuit Elements

Resistors in Series

Req = R1+ R2+ R3 . . .

Resistors in Parallel

1

Req=

1

R1+

1

R2+

1

R3. . .

18 Chapter 19: Magnetism

Magnetic Flux

m= AB cos

Magnitude of a Magnetic Field

B= Fmagnetic

qv

Force on a Current-Carrying Conductor Perpendicular to a Magnetic Field

Fmagnetic = BI(length)

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19 Chapter 20: Electromagnetic Induction

Faradays Law of Magnetic Induction

emf= NMt

RMS Values

Vrms =Vmax

2

Irms = Imax

2

Transformer Equation

V2 = N2

N1

V1

20 Chapter 21: Atomic Physics

Energy of a Light Quantum

E= (1.60 1019)fWavelength of Matter Waves

= h

p =

h

mv

Frequency of Matter Waves

f=

E

h

21 Chapter 22: Subatomic Physics

Relationship Between Rest Energy and Mass

ER= mc2

Binding Energy of a Nucleus

Ebind= mc2

Half-Life

T1/2 = .693

22 References

[1] Serway, Raymond A., and Jerry S. Faughn. Holt Physics. Orlando: Holt,Rinehart and Winston, 2009. Print.

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