PHYSICSAmazing FORMULA
KBSM + KSSM
NEDAVRIEMERAGHMIIVGBEHIGUP
alinaimanarif
CHAPTER EQUATIONS OF MOTION m1u1 +ELAmST2IuC2CO=LLmISI1OvN1 :+ m2v2
2 INELASTIC COLLISION:
m1u1 + m2u2 = (m1 + m2 )v
FORCE & MOTION FORCE:
F = ma
s IMPULSIVE FORCE:
t
SPEED / VELOCITY: v = F = m(v - u)
ACCELERATION: t
a = v - u IMPULSE:
t
Ft = mv - mu
MOMENTUM: p = mv WEIGHT:
2 amazing Physics with Tcer ALINA W = mg
CHAPTER WORK DONE / ENERGY: W = Fs HOOKE’S LAW:
2 POWER: P W E F = kx
t t
= = SPRING CONSTANT:
KINETIC ENERGY: Ek = 1 mv2 k = F
2 x
FORCE & MOTION GRAVITATIONAL POTENTIAL Ep = mgh ELASTIC POTENTIAL ENERGY:
ENERGY:
Ep = 1 Fx = 1 kx2
Eout 2 2
EFFICIENCY: E= Ein x100%
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CHAPTER PRESSURE: P = F PASCAL’S PRINCIPLE:
A F1 F2
3 P = A1 = A2
PRESSURE IN LIQUID: P = r gh P = A1h1 = A2h2
FORCES & PRESSURE Patm = 1.0 X 105 Pa BUOYANT FORCE:
= 76 cm Hg
= 10 m water FB = rVg
= 1 Bar
= 1 atm
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CHAPTER TEMPERATURE OF LIQUID: Boyle’s law
!! " !" P1V1 = P2V2
4 = !#"" " !" X 100 oC PV
TRANSFORMATION OF ENERGY: Pr#"e//ss=ur#"e00 law TCha!"//rl=es’!"00law
1 # = Important Notes:
2
T = (θ ºC + 273) K
mgh = mcθ
Pt = mcθ
HEAT ENERGY: Q =
HEAT LATENT HEAT ENERGY: Q =
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CHAPTER REFRACTIVE INDEX: LENS EQUATION:
5 η = sini 1 = 1 + 1
sinr f u v
= speed in air
speed in medium
= h H (Real)
(Apparent)
= ! %
"#$
LIGHT + OPTIC POWER OF LENS:
P = 1
f
LINEAR MAGNIFICATION:
m= $ = &$
% &%
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CHAPTER
5
POWER OF LENS:
1
P = f
LIGHT + OPTIC LINEAR
MAGNIFICATION:
m = '%
'&
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CHAPTER
6
PERIOD: T = 1
FREQUENCY: f
f = (
)
WAVES SPEED OF v = f
WAVES:
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WAVESCHAPTER
6
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WAVESCHAPTER
6
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CHAPTER
6
λ = ax
D
WAVES λ = wavelength of water waves
a = distance between two dippers
x = distance between two consecutive antinodal line or nodal line
D = distance between dippers and screen
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CHAPTER The wavelength of monochromatic light can be found by the formula: l = ax
a = distance between two slits D
6 x = distance between two consecutive bright fringe or dark fringe
D = distance between slits and screen
When constructive occurs there will be a bright fringe.
When destructive occurs there will be a dark fringe.
WAVES 12 amazing Physics with Tcer ALINA
CHAPTER The wavelength of sound wave can be found by the formula: l = ax
a = distance between two loudspeakers D
6 x = distance between two consecutive loud sound or soft sound
D = distance between loudspeakers and where the sound heard
When constructive occurs there will be a loud sound.
When destructive occurs there will be a soft sound.
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CHAPTER ELECTRIC CURRENT: ELECTROMOTIVE FORCE:
7 I = " = $% E = I(R+r)
# #
E = V + Ir
POTENTIAL DIFFERENCE:
V = * = , = IR INTERNAL RESISTANCE:
+ -. m=-r
RESISTANCE: = - æ E - V ö
çè I ø÷
R = / = 0! ELECTRICAL POWER:
- 1
ELECTRICITY OHM’S LAW: P = * = , = IV = I2R = /'
. . 2
V = IR
ELECTRICAL ENERGY:
E = Pt
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CHAPTER ROOT MEAN SQUARE VALUE: Vrms = Vp
2
8
Vrms = root mean square voltage (V)
Vp = peak voltage (V)
ELECTROMAGNETISM Irms = Ip
2
Irms = root mean square current (A)
Ip = peak current (A)
TRANSFORMER: Vs = Ns
Vp Np
IDEAL TRANSFORMER: VpIp = Vs Is
NON-IDEAL Efficiency = VsIs x100%
TRANSFORMER: VpIp
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CHAPTER ENERGY CHANGE OF ELECTRON IN AN ELECTRON GUN:
9 Kinetic Energy ⟶ Electrical Potential Energy
1 mv2 = eV v = speed of electron (ms-1)
2 V = potential difference across the electron gun (V)
e = charge of 1 electron (1.66 x 10-19 C)
v= 2eV m = mass of 1 electron (3.11 x 10-31 kg)
m
ELECTRONIC TRANSISTOR – POTENTIAL DIVIDER: V1 + V2 = V
16 amazing Physics with Tcer ALINA V1 = &! V
&!' &"
V2 = &" V
&!' &"
XX == AA Å•+Å•+BBBBB Logic
CHAPTER Gate
9
ELECTRONIC has one or
more
input signals
but only one
output
signal
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CHAPTER
10
- decay − decay − decay
A X ® YA-4 + 24He A X ® YA + -10e A X ® A X + g
Z Z Z Z
Z -2 Z +1
RADIOACTIVITY HALF-LIFE: N = Amount of radioisotope particles after nth half-life
No = Initial amount of radioisotope particles
N = æ 1 ön No n = number of half-life
èç 2 ø÷
NUCLEAR ENERGY:
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E = mc2
m = mass change (kg)
c = speed of light (3 x 108 ms-1)
E = energy changed (J)
CHAPTER GR AVITATIONA L FORCE
3 r
GRAVITATION++KSSM m1 m2
= ! " F = Gravitational force between two objects
" G = Universal gravitational constant
(6.67 x 10-11 N m2 kg-2)
m1 = mass of first object
m2 = mass of second object
r = distance between the center of two objects
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CHAPTER RELATIONSHIP BETWEEN g and G r
3
GRAVITATION++KSSMNewton's Second …………..1
IDEA!
F = mgLaw of Motion
Newton’s Universal = …………..2
Law of Gravitation !
Equation 1 = Equation 2
= !
=
$
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CHAPTER RELATIONSHIP BETWEEN g and G g = Gravitational acceleration
G = Universal gravitational
3 =
( + ℎ)( constant (6.67 x 10-11 N m2 kg-2)
M = mass of object
r = distance between the centers
GRAVITATION++KSSM = r h =
( R ( − ℎ)(
(R+h)
(Radius of Earth,
r R = 6.37 x 106 m) h
R
On the surface At a height Below the surface
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CHAPTER CENTRIPETAL FORCE
3 For an object in a circular motion
GRAVITATION++KSSM F = !"!
#
F = Centripetal force
m = mass of orbiting body
v = linear speed
r = radius of orbit
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CHAPTER CENTRIPETAL FORCE FMass
FSpeed
3 For an object in a circular motion
Fr
GRAVITATION++KSSM F = !"%
#
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CHAPTER CENTRIPETAL ACCELERATION
3 Acceleration of an object in a circular motion
GRAVITATION ++KSSM a = !! r = (R+h)
"
Rh
a = Centripetal acceleration
v = linear speed
r = radius of orbit
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C H A P T E R MASS OF A BODY MEarth r
3 Mass of a body at the centre of an orbit T = time taken for
#$!"" satellite to orbit the
GRAVITATION++KSSM M = %&! Earth
M = Mass (object at center) MSun r
G = gravitational constant
T = time taken for
(6.67 x 10-11 N m2 kg-2) Earth to orbit the
r = radius of orbit Sun
T = Period of revolution
(time taken to circle the orbit)
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CHAPTER 1KEPLER'S All planets move in elliptical orbits
with the sun at one focus
3
GRAVITATION++KSSM Perihelion point MINOR AXIS
a place where the planet is
the closest to the Sun
MAJOR
AXIS
Aphelion point
a place where the planet is
the farthest to the Sun
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CHAPTER KEPLER'S 2 lineA that connects a planet to the Sun sweeps
out equal areas in equal times
3 (Law Of Areas)
GRAVITATION++KSSM time: A to B C to D
area: CFD
=AFB CD
distance: =AB C to D
>>A to B
linear
speed:
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CHAPTER 3 periodThe square of of any planet is
3 KEPLER'S directly proportional to the
(Law Of Period) cube of the radius of its orbit
GRAVITATION++KSSM $ ∝ %
!" = !#
"" "#
largerA planet which orbits with a radius
has a longer orbital period
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CHAPTER LINEAR SPEED v
3 For satellite orbiting Earth h
GRAVITATION++KSSM v= %' R
"
M = Mass of Earth
G = gravitational constant
(6.67 x 10-11 N m2 kg-2)
r = radius of orbit
v = linear speed
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CHAPTER ESCAPE VELOCITY v= (%'
"
3 Minimum velocity needed by an
object on the surface of the Earth
GRAVITATION++KSSM to overcome gravitational force
and escape to outer space
r M = Mass of Earth
M G = gravitational constant
(6.67 x 10-11 N m2 kg-2)
r = Distance of object (From the centre of Earth)
v = linear speed
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CHAPTER GRAVITATION++KSSM
3
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