good equation physics

Equation Sheet for PHY2053C – Final Exam (see back of page for CONSTANTS) 2 0 0 2 1 t a t v x x x x + + = t a v v x x x + = 0 ) ( 2 0 2 0 2 x x a v v x x x - + = 2 0 0 2 1 t a t v y y y y + + = t a v v y y y + = 0 ) ( 2 0 2 0 2 y y a v v y y y - + = y y x x ma F ma F = ∑ = ∑ ; hyp opp / sin = θ hyp adj / cos = θ adj opp / tan = θ θ θ sin ; cos V V V V y x = = ) ( tan ; 1 2 2 x y y x V V V V V - = + = θ mg F W Weight G = = = N k fr F F Friction Kinetic μ = = N s fr F F Friction Static μ = = (max) 2 2 1 R m m G F G = 2 E E R M G g = R v a a c R 2 = = R R ma F = ∑ T R v T f π 2 ; 1 = = θ cos Fd W = 2 2 1 mv KE = 2 2 1 ; kx PE mgh PE spring = = i f net KE KE KE W - = ∆ = PE KE W NC ∆ + ∆ = .) ( 2 2 1 1 fric no PE KE PE KE + = + Time Energy P Power = ) ( p t F I ∆ = ∆ ∑ = v m p = after before p p = ) (elastic KE KE after before = ) ( ' ' 2 2 1 1 elastic v v v v + = + ϖ r v = α r a T = r r v a R 2 2 ϖ = = 2 0 0 2 1 t t α ϖ θ θ + + = t α ϖ ϖ + = 0 ) ( 2 0 2 0 2 θ θ α ϖ ϖ - + = ∑ = 2 mr I ϖ I L = f f i i I I ϖ ϖ = F r ⊥ = τ α τ I = 2 2 1 ϖ I KE rot = 2 2 1 2 1 2 CM CM total mv I KE + = ϖ ∑ = .) ( 0 equil F x ∑ = .) ( 0 equil F y ∑ = .) ( 0 equil τ A F stress = 0 L L strain ∆ = 0 / / L L A F strain stress E ∆ = = V M / = ρ water G S ρ ρ = . . A F P / = gh P ρ = out in P P = . disp F bouyant gV F ρ = . 2 1 2 const gy v P = + + ρ ρ . const Av = atm gauge abs P P P + = 32 5 9 + = C F T T 273 + = C K T T T L L ∆ = ∆ 0 α kT E K molecule 2 3 = m kT v rms 3 =

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These are equations used in physics for the final examination. This was used only as a reviewer. It is not mine neither did I do this. Downloaded only from the internet

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Equation Sheet for PHY2053C Final Exam(see back of page for CONSTANTS)

200 2

1 tatvxx xx ++=

tavv xxx += 0

)(2 020

2 xxavv xxx +=

200 2

1 tatvyy yy ++=

tavv yyy += 0

)(2 02

02 yyavv yyy +=

yyxx maFmaF == ;

hypopp /sin =

hypadj /cos =

adjopp /tan =

sin;cos VVVV yx ==

)(tan; 122x

yyx V

VVVV =+=

mgFWWeight G ===

Nkfr FFFrictionKinetic ==

Nsfr FFFrictionStatic == (max)

221

R

mmGFG =

2E

E

R

MGg =

Rvaa cR

2==

RR maF =

TRv

Tf 2;1 ==

cosFdW =

221 mvKE =

221; kxPEmghPE spring ==

ifnet KEKEKEW ==

PEKEWNC +=

.)(2211 fricnoPEKEPEKE +=+

TimeEnergyPPower =)(

ptFI ==

vmp=

afterbefore pp =

)(elasticKEKE afterbefore =

)('' 2211 elasticvvvv +=+rv =

raT =

rrvaR

22

==

200 2

1 tt ++=

t += 0

)(2 020

2 +=

= 2mrI

IL =

ffii II =

Fr=

I=

221 IKErot =

221

21 2

CMCMtotal mvIKE +=

= .)(0 equilFx

= .)(0 equilFy

= .)(0 equil

AFstress =

0LLstrain =

0//LLAF

strainstressE

==

VM /=

waterGS

=..

AFP /=

ghP =

outin PP =

.dispFbouyant gVF =

.21 2 constgyvP =++

.constAv =

atmgaugeabs PPP +=

3259 += CF TT

273+= CK TT

TLL = 0

kTEK molecule 23=

mkTvrms

3=
NkTnRTPV ==

TcmQ =

vf mLQmLQ == ;

lostgain QQ =

lTT

AtQ LH =

4ATetQ =

VPW =

nRTU23=

if nRTnRTU 23

23 =

WQU =

LH QWQ +=

H

L

H QQ

QWe == 1

H

Lideal T

Te = 1

LH

LLQQ

QWQ

CPorrefrigerat

==

LH

Lideal TT

TCPorrefrigerat

=

LH

HHQQ

QWQ

CPpumpheat

==

LH

Hideal TT

TCPpumpheat

=

TQS =

kxFspring =

kmT 2=

glT pendulum 2=

f 2=

2221

21 kxmvE +=

20

221

21 mvkAE ==

2

2

0 1Axvv =

)2cos();2sin( ftAxftAx ==

Tfvwave / ==

lmFv Tstringonwave /

=

,...3,2,1)2/(1 === nLvnnffn

,...5,3,1)4/(1 === nLvnnffn

vvffs

=1

'

)1('vv

ff o=

)(boxLWHvolume =

)(2 cylinderhrvolume =

)(34 3 spherervolume =

)(4 2 sphererA =

2/80.9 smg =

mkmmile 16006.11 ==

2211 /1067.6 kgmNG =

kgM E241097.5 =

mRE61038.6 =

Paatm 510013.11 =

KJk /1038.1 23=

1231002.6 = moleN A

KmoleJkNR A == /31.8

3/1000 mkgwater =

CkgJcwater0/4186 =

CkgJcice0/2100 =

kgJOHL f /1033.3)(5

2 =

kgJOHLv /106.22)(5

2 =

Jcalkcal 418610001 ==

3001.01 mliter =

kgu 271066.11 =

4281067.5

KmW

=

smvsound /343=