CP Physics Equation Sheet
Kinematics
Vav = xf –xi/t
a = vf - vi / t
xf = xi + vav t
vf = vi + at
(vi + vf)½ = vav
x = xi + vi t +1/2 at2
vf 2= vi2 + 2a (xf –xi)
Forces and Momentum
W = mg, g= 9.8 m/s2
F = ma
F = G mM/r2, G=6.67 x 10-11 Nm2/kg2
Fk =µkN
Fs,max =µsN
P = mv
I=FΔt
Work and Energy
W = F d cos θ
2
PEgravity = m g h , g=9.8 m/s
PEspring = 12 k x2 , F=-kx
Ei = Ef
KE = 12 mv 2 .
W=ΔKE
Conversions:
1 mi=5280 ft = 1609 m
1 in = 2.54 cm
Δp=I
Electricity and Magnetism
−e=+e = 1.60×10−19 C
me=9.11 x 10 -31 kg
mp=1.673 x 10 -27 kg
mn=1.675 x 10 -27 kg
Q=Ne
F= k q2 q3 r 2 , k=8.99 x 109 NM2/C2
V = IR,
P = IV ,
E = k q r2
F= qE
R = ρL A ,
B = µ0 I 2π r
F = I LB sin θ
F = q vB sin θ
ΔV = Δ PE q
V = kq r
E = ΔV d
I = ΔQ Δt ,
Thermodynamics
TF=(9/5) TC+32
TC=(5/9) (TF-32)
Tk=TC+273.15
ΔL=αLiΔT
Q=mcΔT
Q=mL
ΔE=Q-W
SHM, Waves and Sound
T=1/f
T = 2π m k , F=-kx
v=λf
v = 331+ 0.61T
V (20C) = 343m / s
v=Δx/Δt
f beat = f1 − f 2
f n = nv 2L
I = P A , I = P 4π r 2
f observer =
f source
⎛ vsource ⎞
⎜⎝1 − v
⎟⎠
⇒ 1−
vsource
f
= source
vsound
f observer
sound
1−
f source
v
= source
f observer vsound
⎛
⎞
f
⇒ vsource = vsound ⎜1 − source ⎟
f observer ⎠
⎝