Summary

Summary Physics Energy and Waves Exam Review Sheet

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Course
PHYS131

Institution
University Of British Columbia (UBC )

Physics energy and waves exam formula review sheet. Includes formulas on the following topics: - Static fluids - Fluid dynamics - Simple harmonic motion - Travelling waves - Sound - Doppler effect - Standing waves - Interference - Light

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Uploaded on April 25, 2023
Number of pages 2
Written in 2022/2023
Type Summary

physics
energy and waves
energy
waves
static fluids
fluid dynamics
simple harmonic motion
travelling waves
sound
interference
doppler effect
standing waves
light
cheat sheet
review sheet
formula
exam

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Static fluids:
-Fluid dynamics
-

density (e)
memes =
-
ms Force (FB):Weighto ffwid (well
my
Broyant
-

anyoneis"
submerged (Vsrb)
vowmswinebois
rowme
Force (1)
=

Pressure (P) s submerged
=
(uniform force) fraction
-
=
=

Area(A) Volume object( robj)

rowmelv Area (A) velocity (v)
(a)
=

P (non-uniform force) Flow rate
=
= =

time (t)

P. P2
= EE =

(hyaraic systems) Area (A.) velocity
=
(v) Area=

(A2) velocity (v2)
=

A, vi number ofbranches
=

(n2) Ae v2
branches (n.)
= =

gravity (y)
= =

(m) kg m/s number of
=
=

Force (F) mass
=

=

ir2
cylinder (a)
=

gravity (9) Flow rate
-
liquid (W)= (m)
Weigh m a ss
(t)
=
of
time

vowme l iquid
of
(V) Area (A) =

height(h)
= m2
=
m
x

Work net
(Wnet) I
=
mass
verocity
-
-
mass
I verocity-
-

(V) density(e) Area (A) height(h)
density (e)
volume = =

l iquid (m)
= =

mass
Ee egU, IfVe
of
P. Pe
=
+ =
+

eque
+ +

Force (F) Weight(W) g A h
g
=
=
= = =

A n g
p +ggh constant
+ =

1
x
x =

Pressure (P) =

E =

A
=egh
4, +9gh, Petfgnz
=

(when vi v2)
=

Pressure (P) P0 19h
IfV2"
=

Ovi
+ pa
=

4, +
=

P2 +
(when ni n2)
=

Garge Pressure (PG) =
4-Datm
=
v,
v
2gh
+

m
m (v) Area (A)
velocity
+

farg
=

v
Force (F) viscosity (N)
length (1)
=

ofcircle (A) i radius (r)2 m2
Area
=

(P -pi)
=

Rr4
=

Frow rate (0) Bosisiana (R)
= =

8M1
Area sphere (A) G R
of
=

radius
= (r)" m2
viscosity (n) length (e)
8
=

= =

Resistance (R)
=

4
M =r

ofwater 100kgimb =1glcme
density
U cycliner Mrch =

latm 1.013
=

W5
= Pa 101325px 101.3 kPa
=
=

Circumference 2 Mr
=

9.81 MIS2
gravity (g)
=

Simple Harmonic Motion
Traveningwaves
->

-

waveengin* =
(F) constant (K):displacement (x)
Restoring force spring
=-
1f
(v)
=

velocity
=

Elastic potential energy (PEel) IK x2
=

VAt
Dx
=

(Ex)
2x
force (Fapp)
=

Applied y(x) Asin
=

Mass (m) velocity
(v)2 W+)
Kinetic energy (KE) bCx,1) Asin(kx
y(x,t) Asin(k w+)
=
= +
=

I =

x =

frearencyit seriousin
k =
(m)
of
string
linear density (M) mass =

of
length string (1)

4)
ammore
x(t) A cos(w +
+
=

v(+) a
=
=
- Awsin(w++4)

vct) = -

Vmax sin (w + +
y)

Umax Aw
= A
=

m - > sound

a(t) =

2
=
-
Awcos(w++4) AP P =

max sin(2 =
xw+ +

P)

a(t) = -

a max cos(w+ y)
+

S(x,t) Smax
=
coS(kx w
=
+
+

y)

AW2 vw f
=

amax
=

Gwer()
Phase constant(9) (**) Intensity
(I) =

Areas s
=

cos
-

(Fret) (F) damping force (Fal
Force Espring
+

net
=

I =

damping force (Fa) damping coefficient (b) verocity (v) Io w/m2
-

= -

no
=
=

x(t)
Are-E
=

cos (w+ 9)
+

Ipain 1 W/M> =

w
(
=

B 10
=

Woy,( E0) B aB
=

period penanum (T)
i
=

ar
=

y eig
=
log10(b) -

rog,ot)
=

10y,0 ()

9 4r2
=

z 10910(1) 0
=

Coy,0(10)
=
1

Driving force (Fa)=Fsin(WH) 10g (x2) aLog(x)
=

b
wy(2) a
=

from
doppler shift stationary observer Observer moving towards source observer moving away
source

loy (ab) roy(a) roy(b)
+
=

fo fs(r) fo fs(EV)
=

stationary source fo fs
= =

109b(n) =-
b*=n
=

source moving towards observer to =
ts (Fus) to ts(s)
=

to 5s(E)
=

fs(Irs) fo= fs (is) fo
fs(s)
=

fo
=

moving away
source or the

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Summary Physics Energy and Waves Exam Review Sheet

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