SPH4U
Kinematics
d = d2 − d1
d
v ave =
t
v
aave =
t
v 2 = v1 + at
1
d = v1t + at 2
2
1
d = v 2t − at 2
2
v + v 
d =  1 2 t
 2 
v 22 = v12 + 2ad
R=
v sin 2
g
2
1
Energy & Power
1
Ek = mv 2
2
Eg = mgh
1 2
kx
2
m
T = 2
k
W = F d cos 
Es =
W = Ek
Eff =
P=
Wout
100%
Win
W
t
Momentum
p = Ft
p = mv
p = 0
PHYSICS 12 EQUATION SHEET
Dynamics
Fnet =  F
Fnet = ma
Fg = mg
GMm
Fg = 2
r
F f =  Fn
Fs = kx
g=
GM
r2
T = 2
l
g
v2
4 2 R
, ac =
R
T2
ac = 4 2 Rf 2
ac =
Relativity
v2
L = L0 1 − 2
c
t
t0 =
v2
1− 2
c
m0
m=
v2
1− 2
c
Ek = (m − m0 )c 2
E = hf
E = Ek + W
Fields
vesc =
Waves
c
v
N
1
f = ;T =
t
f
i =  r
2GM
r
v = f ; n =
T 2  R3
r 3 GM
=
T 2 4 2
GMm
Eg = −
r
kq q
Fe = 12 2
r
Fe = q
C=
sin 1 v1 1 n2
= =
=
sin  2 v2 2 n1
Gratings/Double Slit
Dark:
| PS1 − PS 2 |= (n − 1 2 )
( n − 1 2 )
sin  n =
d
xn

= ( n − 12 )
L
d
kq1q2
r
kq
= 2
r
V
=
(/ / plates )
d
kq
V=
r
W = Ee = qV
Ee =
I=
B=
B=
q
t
n = 1, 2, 3 …
x =
L
d
sin  m =
Bright:

n
d
m = 0, 1, 2 …
o I
2 r
o NI
Single Slit Diffraction
sin  n =
Dark:
L
FB = ILB sin 
n = 1, 2, 3 …
o I1 I 2 L
2 r
FB = qvB sin 
n
w
Bright:
FB =
 sin  = (m + 12 )
m
w
Constants
Math Relationships
m = 1, 2, 3 …
Central bright line at  = 0
g = 9.8 m/s2
G = 6.67 x 10-11 Nm2/kg2
k = 9.00 x 109 Nm2/C2
c = 3.00 x 108 m/s
h =6.63 x 10-34 J.s
μo = 4л x 10-7 T.m/A
eV = 1.60 x 10-19 J
qe = -1.6 x 10-19C
me = 9.11 x 10-31 kg
mp = 1.673 x 10-27 kg
mE = 5.98 x 1024 kg
rE = 6.38 x 106 m
mS = 1.99 x 1030 kg
rS = 6.96 x 108 m
mMoon = 7.35 x 1022 kg
rMoon = 1.74 x 106 m
mean rS-E = 1.49 x 1011 m
mean rE-Moon = 3.84 x 108 m
c 2 = a 2 + b 2 − 2ab  cos C
x =
a
b
c
=
=
sin A sin B sin C
Thin Films/Air Wedge
−b  b 2 − 4ac
2a
sin 
tan  =
cos 
2
sin  + cos 2  = 1
L
w
t=
Dark:

n = 0, 1, 2,…



t=
(2n + 1) 
4
n = 0, 1, 2, …
cos 2 = cos 2  − sin 2 
sin 2 = 2sin  cos 
Bright:
n
2
x =
L
2t