This document contains summaries of 3 key physics formulas in less than 3 sentences: (1) The kinematic equation relating displacement (s), initial velocity (u), acceleration (a), and time (t) is s = ut + (1/2)at^2. This equation describes the motion of objects under constant acceleration. (2) Energy (E) of a photon is related to its frequency (f) by the Planck-Einstein relation E = hf, where h is the Planck constant. This equation shows that energy and frequency are directly proportional for electromagnetic radiation. (3) The de Broglie wavelength (λ) of a particle with momentum (p) is given

1. 13 2554 - 15:33:00
4 1
-
-
-
-
A% = * 100%
A = * A
( A A ) + ( B B ) = ( A + B ) ( A + B )
( A A ) - ( B B ) = ( A - B ) ( A + B )
( A A ) ( B B ) = ( A * B ) ( A B + B A )
=

2. X% = pA% + q B% + r C%
X =
( A )n = An n A * 100%
A -
A -
y = mx + c
m -
y -
x -
c - y
m = tan =
y - y
x - x

3. =
= n n
Sin 90 = 1
= = = =
= =
= =
n1 = n2 =
n1 -
n2 -
c - 3*108 m/s )
v -

4. f =
=
u =
v =
i = r
i -
r -
= 2

5. -
O -
V , -
U , S -
2
( n ) =
= = = =
=
- 1 2
- 2 1
n1 - 1
n2 - 2

6. v -
-
-
-
n =
n -
c -
v -
----------------------------
=
= n n
Sin 90 = 1
= = = =

7. = =
= =
n1 = n2 =
n1 -
n2 -
c - 3*108 m/s )
v -
f =
=
u =
v =
---------------------------------------------------
m = = = =

8. f -
R -
v -
u -
m -
I -
O -
= mo * me
= S'o * Se
me -
mo -
S'o -
Se -
=

9. = fo + fe
fo -
fe -
E =
E -
F -
A -
=
E2 = E1 Cos 0
E1 -
E2 -
-

10. 4 2
-
-
vt = 331 + 0.6t
vt - t m / s )
t - c ) 45 c
s =
s -
v -
t -

11. =
-
f1 -
f2 -
fB = =
fB -
- ,
=
l -
n - loop ,

12. v =
T -
- kg / m )
fn =
fn -
n -
u -
l -
fn =

13. n -
I =
I -
P -
R -
)
f ' = fo
f ' -
fo -
vl -
vs -

14. fL =
fL =
fL - ,
u -
vL -
(
=
(
=
-

15. -
Mach nuber )
= = =
v = u *
v = =
v -
s1 , s2 -
t1 , t2 -
-

16. -
v = 0
v -
a = =
a -
a = 0
a -
s = ut + = =
v = u + at

17. v2 = u2 + 2as
a = = =
s -
s -
v -
t -
u -
a - ,
-
-

18. F = ma
F -
m -
a -
W = mg
W -
m -
g -
2
=
W1 - 1
W2 - 2

19. m1 - 1
m2 - 2
FG =
FG -
G -
6.673*10-11 Nm2 / kg2
m1 , m2 -
R - 2
g =
me -
Re -

20. 2
= =
g1 , g2 - 2
R1 , R2 - 2
h -
T - mg = ma
mg - T = ma
T -
5 1
-
-

21. -
=
=
=

22. Ek =
Ep = mgh
F = KS
Ep = KS = FS
Ek - J)
Ep - J)
Ep - J)
K - N/m
n
S n =
W = mgh +

23. Ep + Ek = Ep + Ek
Ek
----
Ep
Ek2 = Ek1 +
Eff = W x 100 %
W
Eff = M.A. x 100 %
M.A.
M.A. = W
F

24. M.A. W
F
P = mv
p - kg.m/s)
m - kg)
v - m/s)
Ft = mv - mu
F =
F - N)
m - kg)

25. t - s)
=
mv Mv
5 2
-
-
F -
r -

26. -
d -
k - 9 x 109
= q(vB - vA)
V -
Ep -
W -
-
-
A B
V =

27. W = QV
W -
Q -
V -
V = IR
V -
I -
R -
(Ep)
W = qv =
Ek = W

28. C - F)
Q - c)
V - V)
a -
k - 9 x 109
I -
Q -
t -
V - e-
A -
n - e- /
e - e- 1 1.6 x 10-19

29. R -
P -
L -
A -
E -
R -
r -
Rtotal =

30. R =
I =
V =
E =
V =
E =
I =
P -
I -
R -

31. Unit = x
w = mc
pt = mc J/kg.k
0.24 pt = mc cal/kg.k
-
-
A
A -
B - veber/

32. F = qvB
F -
v -
B -
-
v -
N -
e -
F = qvB
F = NevB

33. F = I B
F -
v -
B -
-
I -
M = IAB
M = BIAN
M -
I -
N -
A -

34. N1 -
N2 -
E1 -
E2 -
W1 -
W2 -
t -
M = IAB
M = BIAN
M -
I -
N -

35. A -
N1 -
N2 -
E1 -
E2 -
W1 -
W2 -
t -
6 1
-
-

36. -
2
s = vt
g
v = u + gt
s = t
s = ut + gt2
v2 = u2 + 2gs
s =
smax =
= 45
= 90

37. s =
=
v2 = u2 2gh
v
ac =
v
a =
F =
Fc -
ac -
v -

38. form 8
1.
T =
2.
mg =
3.
tan =
4.
T1 + mg =
T2 - mg =
T3 =
- mg cos + T4 =
5.
=
6.
tan =

39. 7.
tan =
8.
=
= =
w = =
v = wR
w = = 2 f
Fc = mw2R
v = = 2 Rf
-
w -
T -
f -
R -

40. 1. x ' , y '
2. g
3.
g
gsin
v =
v =
H = 2.5 R
v
T - T = 2mg

41. v
T - T = 6mg
=
=
=
T -
R -
M -
G - 6.67 * 10-11 Nm2 / kg2
g
=
g' -

42. g -
R -
h -
= =
I =
v = wR
S = * R
a =
- N.m )
I - kg . m2 )
- rad / s2 )
R -
Ek =

43. Ek =
L = mvR = Iw
L = L
=
-
w -
L -
T =
w =

44. T =
w =
T =
w =
T -
l -
g -
k -
y = ymax sin wt
v = vmax cos wt
a = - amax sin wt
v = w
vmax = wR

45. a = w 2y
amax = w2R
v -
a -
K = K1 + K2
K = K1 + K2 + K3
=
=
=

46. Y =
F - N)
A -
- m)
L - m)
P =
P = gh
P = P + P
F - N)
P - P N / m2)
- kg / m3)
h - m)
,
F = PA = A

47. F =
1. 1
F = PA
2. 2
= F1 - F2
=
U
2
PA = PB
=
1 = 1.01 * 105 N / m2 (Pa)
1 = 75 cm

48. 1 = 10.3 m
P1V1 = P2V2
=
=
=
F - N)
W - N)
A - m2)
a - m2)

49. O
M = M
FL = F 'l
B = vg = mg
F = L
F = 2L
f =
B -

50. V - m3)
- N / m)
F -
L - m)
f - N)
-
r -
v -
m
1
A1V1 = A2V2
AV m3 / s)

51. ,
P1 + = P2 +
Q = mc T
Q = C T
C = mc
Q = mL
Q - J)
m - kg)
T - C)
C -
c -
L -

52. PV = nRT
PB = NKBT
P - N/m2)
V - m3)
N -
n -
R - 8.314 J/mol x K
KB - 1.38 x 10-23
T - K)
*
PV =
NE

53. 1
P -
V -
N -
n -
R - 8.314 J/mol x K
KB - 1.38 x 10-23
T - K)
Vrms -
n T =
P V =
P -
n -
V -

54. PV =
Vrms =
NEk- =
Ek- 1
P -
V -
N -
n -
R - 8.314 J/mol x k
KB -
T - K)
V rms -
W = P(V2 - V1)

55. P -
V2 -
V1 -
W -
U = NE-K
6 2
-
-
-

56. R =
XC -
XL -
R -
W - rad/s)
C -
L -
I - A)
Imax -
V - V)
Vmax -

57. W - rad/s)
t -
-
Z -
XL -
XC -
, , RMS (Root Mean Square)
IRMS - A)
Imax -

58. VRMS - V)
Vmax -
P = I V (cos )
P =
P -
cos -
Pmax -
c = f
c - 3 x 108 m/s)
f - HZ)
- m)

59. S1 p - S2 p = = =
S1 p - S2 p = ; n = 0 , 1 , 2 , .....
S1 p - S2 p = (n - ) ; n = 1 , 2 , 3 , .....
1n2 = p
n =
p = 90
( ,
E = =

60. F = qvb
E = n/c)
=
d = m)
v = m/s)
b = t)
q = c)
=
----- -----
q = c)
m = kg)
= (m/s)
= (v)

61. B = r)
d = m)
E = v/m)
= = =
qE = mg
q -
E -
m -
g -
E = hf
E -
h - 6.6 x 10-34 J.S)

62. f -
L = mvr = nh-
n - 1,2,3, ...
h- - (1.05 x 10-34 J.S)
Ei -
Ef -
h - 6.6 x 10-34 J.S)
f -
E = hf =

63. rn = n2 (0.53 * 10-10)
Vn =
fn =
rn - n
Vn - n
fn - n
qv =
q -
v - V)
h - 6.6 x 10-34 J.S)
-
Ek = hf - W

64. Ek -
W -
f -
p =
Heisenberg
x -
P -
L = mvr = nh-
n - 1,2,3, ...
h- - (1.05 x 10-34 J.S)

65. Ei -
Ef -
h - 6.6 x 10-34 J.S)
f -
E = hf =
rn = n2 (0.53 * 10-10)
Vn =
fn =
rn - n
Vn - n
fn - n

66. qv =
q -
v - V)
h - 6.6 x 10-34 J.S)
-
Ek = hf - W
Ek -
W -
f -

67. p =
Heisenberg
x -
P -
N =
N -
N0 -
A = N
A -

68. -
N -
=
-
T -
=
NA - Avogadro Number (6.02 * 1023)
m -
A -

69. R =
R =
E = mC2
1 u 931 MeV
E - J)
m - kg)
C - m/s)