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the formula sheet for physics 141
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Physics 141 – Formula Sheet
t
x vave
t
v aave
dt
dx v
dt
dv a
𝑥 =
−𝑏±√𝑏^2 − 4 𝑎𝑐 2 𝑎
r
v a
2
c
v v a x
x x vt at
x x v v t
v v at
f
f
f f
f
2 0
2
2 2
1 0 0
0 0
0
g 9. 8 m/s downward
2
dt
dp Fnet ma
W mg f (^) k kN
m r r
mv F
2
2
c g (^2) r
GmM F 11 2 2 G 6. 67 10 Nm /kg
W FrFrcos()
W Fdx F ds
x
x x
2
1
KE UEint Wnc
2 2
1 KE mv
r
GmM U (^) g mgh
2 2
1 Uspring kx
Eint fx F v dt
dW
t
Fspring kx
p mv
pi^ pf
I F t Fdt p
f
i
t
t
ave
2
1
t
t
I Fdt
𝑥𝑐𝑚 =
a r
v r
s r
t
t
sin( )
cos( )
y r
x r
r
v ac
2
T
2 r vt
r FFrsin()
2
1 KE I
2 𝑑𝑚
2 r
g
r
Vg
F k x
k
m T 2 f
y A cos( t ) ^2 f m
k
l
g
y Asin(kxt)
k k
v f
v L
m
y f ( x vt )
sound Source
sound Observer
v v
v v f f
vsound 343 m / s 𝑑𝐵 = 10 𝐿𝑜𝑔(
𝐼 𝐼 0
)
r
constructive:
or
r 0 ,, 2 ,...
destructive:
or
r
P Patm gh A 1 v 1 A 2 v 2 t
o o
f
o
o B f f f f f o f g W
m F W mg Vg Vg
Patm 101 , 000 Pa
2 2 2
1 2 2
2 2 1
1 P 1 gh 1 v P gh v
3 water 1000 kg/m
2 2
1
1 1
T
PV nRT
KE kT 2
3 R 8. 315 J/moleK k 1. 38 10 J/K 23
Q mcT Q mL c (^) water J kg C cice J kg C
0 0 4186 / 2090 /
L J kg L J kg f water vwater
5 6
f
i
V
V
W PdV Eint QW 1 𝑐𝑎𝑙 = 4. 186 𝐽
𝑃 = 𝑘𝐴
∆𝑇 𝐿
𝑃 = 𝜎𝑒𝐴𝑇 4 𝜎 = 5. 67 × 10 − 8 𝑊/𝑚 2 ∙ 𝐾 4
1
2
𝑚𝑣𝑎𝑣𝑔 2 =
3 2
𝑘𝑇 𝑄 = 𝑛𝐶𝑉∆𝑇 𝑄 = 𝑛𝐶𝑃∆𝑇
1 2
𝑘𝑇 per degree of freedom