FORMULAFORMULA Riza Nadya Prastanti IX-B 19. 7 th class MOTION.

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FORMULA

Riza Nadya PrastantiIX-B19

7th class

MOTION

VELOCITY

v:velocity (m/s)d:distance (m)t:time (s)

t

dv

ACCELERATION

a:acceleration (m/s2)vt:final speed (m/s)

vo:Initial speed (m/s)

t:time interval (s)

t

vva ot

8th CLASS

1.FORCE AND NEWTON’S LAWS

RESULTANT

• Same Direction

• Different Direction

• Perpendicular

21 FF

21 FF

21 FF

ACCELERATION

f

m

m

fa

=value of force

=value of mass

a=acceleration

WEIGHT

w=weight (N)

m=mass (kg)

g=gravitational acceleration (m/s2)

gmw .

NEWTON’S LAW I

0f

amF .NEWTON’S LAW II

*F=force acting on the body (N)

*m= mass of the body (kg)

*a=acceleration on the body (m/s2)

NEWTON’S LAW III

reactionaction FF

2.PRESSURE

Pressure of solid

• F=force/weight (N)

• P=Pressure (N/m2)

• A=Area (m2)

APF .

Hydrostatic Pressure

P=Hydrostatic pressure (N/m2)

=density of liquid (kg/m3)

g=Earth gravitational acceleration(m/s2)

h=height or depth of the liquid (m)

... hgP

PASCAL LAW

2

2

1

1

21

A

F

A

F

PP

ARCHIMEDES LAW

gVFA ..F= bouyancy force (N)

=density of liquid (kg/m3)

V=volume of liquid moved (m3)

g=Earth gravitational acceleration (m/s2)

RELATION BETWEEN HEIGHT OF PLACE AND AIR PRESSURE

mx

h 10].1.0

76[

h: height of place above sea level (m)

x: pressure of place above sea level (cmHg)

BOYLE’S LAW

CVP

P=pressure

V=volume

C=constant

2211 VPVP

3.ENERGY

MECHANICAL ENERGY

• Em=Mechanical energy (j)

• Ep=Potential energy (j)

• Ek=Kinetic energy (j)

kpm EEE

THE LAW OF MECHANICAL ENERGY CONSERVATION

MBMA EE

EMA=mechanical energy at A

EMB=mechanical energy at B

KINETIC ENERGY

Ek=potential energy (j)

m=mass (kg)

v=velocity (m/s)

2..21 vmEk

POTENSIAL ENERGY

hgmEP ..

Ep=potential energy (joule)

m=mass (kg)

g=gravitational acceleration (m/s2)

h=position from earth (m)

4.WORK

WORK

• W =work (j)

• F =force (N)

• s =displacement (m)

sFW

POWER

• P =power (watt)

• W =work (j)

• t =time (s)

t

WP

LEVER

F =power

=power arm

=load arm

w =load

bK wF

kb

b

k

F

wkM

MECHANICAL ADVANTAGE (kM)

PULLEY

FIXED PULLEY

F = w

~f =power

~w =work

MECHANICAL ADVANTAGE (kM) OF FIXED PULLEY

F

wkM

MOVING PULLEY

MECHANICAL ADVANTAGE

wF2

1

2F

wkM

SLOPING PLANE

f

w

h

s

hwsF

WW BF

..

MECHANICAL ADVANTAGE

h

s

F

wkM

F = power (N)

w =load (N)

s =length of SP (m)

h =height of SP (m)

Wf =work of power F

WB =work of load w

5.VIBRATION AND WAVE

VIBRATION

• Frequency:

n: number of vibration

t: time• Period:

T: period

f : frequency

t

nF

fT

1

WAVE

• Frequency

• Period

• Wave velocity

fT

1

Tf

1

fv .T

v

v = wave velocity (m/s)

= wavelength (m)

T = wave period (S)

f = wave frequency (Hz)

6.SOUND WAVE

• Sound velocity:

• Sound reflection:

• Velocity of sound in the air:

t

sv

t

sv

2

v=velocity of sound (m/s)

t=time (s)

s=distance (m)

Vo=velocity of sound at 00C (m/s)

t=air temperature

tVoV .6.0

DOPPLER EFFECT

FsFs

PP

Fp=frequency that heard by receiver (Hz)

V=velocity of sound in the air (m/s)

Vs=velocity source (m/s)

Vp=velocity receiver

Resonance

l

Vf

4

F=frequency (Hz)

V=velocity

l=length (cm)

MERSENNE LAW

31221

21221

2121

1221

::

)(::

)(::

)(::

m

kgPPffDensity

mAAffArea

NTTffnContractio

mffLength

7.LIGHT

F=focus (cm)S0=object distance (cm)

S1=distance of image (cm)R=radius of curvature

100

112111

SSRor

SSf i

IMAGE MAGNIFICATION

00 S

S

h

hM ii

M:image magnification

h1=height of the image

H0=height of the object

POWER OF LENS

fP

1

P=power of lens (dioptri)

f=focus distance (meter)

Number of image between 2 flat mirror

1360

n

REFRACTION

• Snellius’ Law

• Refractive index

3

4

'

'

OB

OA

nC

C

=refractive index of medium

C =light velocity in vacuum is 2x 108 m/s

Cn =light velocity in medium

=refraction index of medium

=light wavelength in air

=light wavelength in mediumn

n

DEVIATION

• Planparallel Glassi =angle of incident ray

r’ =angle of refracted ray

• PrismD =angle of deviation

i =incident angle

=angle of prism refractor

r’ =angle of refracted ray

'ri

'riD

8.OPTICAL INSTRUMENT

MAGNIFYING GLASS

MAGNIFICATION• When the eye

doesn’t accommodate:

• When the eye accommodates:

• When the eye accommodates maximum:

f

SM n

x

S

f

SM nn

1f

SM n

M =image magnification

Sn =near point

f =focus distance of magnifying glass

MISCROSCOPE

• MAGNIFICATION• When the eye

doesn’t accommodate:

• When the eye accommodates:

• When the eye accommodates maximum:

sob

obs

hob

obhM ob

''

1foc

SMoc n

foc

SMoc n

• Myopia

• Hypermetropia

PRPM

100

HEH PPPP

P100100

9th class

1.STATIC ELECTRICITY

Coulomb Law

2

21 .

r

QQkF

F =coulomb force (N)

k =the constant coulomb force (9x10 Nm2/C2)

Q1Q2 =electric charge (coulomb)

r = intercharges distance (meter)

ELECTRIC FIELD STRENGTH

E =Electric field (N/C)

k =Constant of coulomb force 9x109Nm2/C2

Q=magnitude of a source charge (c)

R=the distance from point of test charge to source charge (m)

2r

QkE

ELECTRIC CURRENT

t

QI

I =Electric current strength (A)

Q =Electric charge (c)

t =time interval (S)

ELECTRIC POTENTIAL

Q

WV

V =potential difference (volt)

W =energy (joule)

Q =electric charge (coulomb)

OHM’ s LAW

R

VI

I =electric current (ampere)

V =electric potential difference (volt)

R =Resistance (ohm)

RESISTIVITY

A

lR

R =resistance ( )

=resistivity ( m)

l =length of wire(m)

A =section area of the wire (m2)

KIRCHHOFF LAW 1

keluarmasuk II

3.ELECTRIC CURRENT SOURCES

EMF AND CLAMPING VOLTAGE

VrV IrV V =clamping voltage (volt)

=EMF

Vr =voltage in internal resistance (volt)

I =electric current (ampere)

r =internal resistance in electric current sources (volt)

321 V

nV

nrR

nI

In the serial circuit:The total voltage in the circuit:

For n sources,the similar voltage sources:

The electric current in the main circuit:

• In the parallel circuit:

The total voltage in the circuit:

The electric current in the main circuit:

321V

rn

RI

1

4.ELECTRIC ENERGY AND POWER

Electric energy

tR

Vw

tRIW

VtIQ

QVW

2

2 ..

..

.

W=Electric energy (joule)

Q=Electric charge (coulomb)

V=Potential difference (volt

ELECTRIC POWER

r

VP

RIP

IVPt

WP

2

2

.

P=Electric power (watt)

W=Electric energy (joule)

T=time interval (Second)