# SPH 4U Formulae(1)

```UNIT 1: Dynamics



  
 v 1  v2 
d  
t
 2 




UNIT 3: Fields
𝐺𝑚1 𝑚2
𝑟2
𝐹𝐸 =
𝐹𝑀 = |𝑞|𝑣𝐵𝑠𝑖𝑛𝜃
𝑚𝑣
𝑟=
|𝑞|𝐵
UNIT 4: Light
𝑘|𝑞1 ||𝑞2 |
𝑟2
𝜀=−
1
T
n1 sin 1  n 2 sin 2
sin  C 
d sin m  m 

w sin  m  m  12 
t s
L
w
tan b 
n2
n1
Lm  Ls 1 
v2
1 2
c
2
𝐼=
𝑞
∆𝑡
n 
c
v
n 2 1

n 1 2
L
x 
d


 d sin   n  1  
n
2
x n  n  12

Ld
w sin  n  n
sin n 
xn
L

v2
c2
Erest  mc2
mc 2
𝑘𝑞1 𝑞2
𝑟
𝑘|𝑞|
|𝜀 | = 2
𝑟
𝑘𝑞
𝑉=
𝑟
𝐸𝐸 =
Pn S1  Pn S2  n  12 
n2
n1
mL
xm 
d
y 
𝑊 = −∆𝐸𝐸
|𝑞| = 𝑁𝑒
𝐹𝑀 = 𝐼𝐿𝐵𝑠𝑖𝑛𝜃
f 
𝑊
∆𝑡
𝐺𝑚
𝑣=√
𝑟
𝑚𝑔∆𝑑
|𝑞| =
∆𝑉𝑏
∆𝑉
∆𝑑
v  f
2
F  k x
W  E
W  Fd cos
2
⃗⃗⃗⃗
𝐹𝐸 = 𝑞𝜀
∆𝐸𝐸 = −𝑞𝜀 ∆𝑑
UNIT 5: Modern
Physics
ac  4 2 rf
𝑃=
Iout  Iin cos2 
w
1
N
m
mrel 
1
2



v
c2
w sin  m  m
mv
p
1
Ek .rel  ET  Erest
v2
c2
W  eV
v
1 2
c
ℎ𝑐
= ℎ𝑓
𝜆
Δ𝑥Δ𝑝 ≥
g moon  1.61m / s 2
CONSTANTS
v2
r
4 2 r
ac 
T2
ac 
E g  mgh

p  F t
𝐸𝛾 =
F c  ma c

1
2
p  m v
ET 
F net  m a

Ee  kx


|𝐹⃑𝑓 | ≤ 𝜇|𝐹⃑𝑁 |
Ek  12 mv2

t m 



1
 d  v 2 t  a t 2
2


1
 d  v 1 t  a t 2
2


∆𝐸𝐸 = 𝑞∆𝑉


pmv
𝐹𝑔 =


v 2  v 1  a t


 2
v 2  v1  2 a  d
v
a
t

UNIT 2:
Momentum &amp;
Energy

v 
2

d
t


SPH 4U Formulae

G  6.67 x10 11 m 3 / s 2  kg
mEarth  5.98x1024 kg
rEarth  6.37 x10 m
6
mMoon  7.35x10 kg
22
rMo on  1.74x106 m
ℎ
4𝜋
p 
h


e  1.602 x10 19 C
me  9.11x10 31 kg
𝑚𝑝𝑟𝑜𝑡𝑜𝑛 = 1.67 &times; 10−27 𝑘𝑔
k  9 x10 9 Nm2 / C 2
c  3.00 x10 8 m / s
h  6.6 x10 34 J  s
hf
c
max 
2.90 x10 3
T
Absolute Indices of Refraction
Air
1.00
Diamond
2.42
Ethyl Alcohol
1.36
Glass, crown
1.52
Glass, flint
1.66
Glycerol
1.47
Quartz, fused
1.46
Sodium chloride
1.54
Water
1.33
```