CIE A level A2 Physics 9702, Study notes of Physics

This document contains detailed notes for the full course of the 9702 A2 Physics by CIE. It contains the most important notes from the cambridge physics textbook, examples from past papers (notes are constructed from past CIE questions to best suit their answers' wording, you can basically just memorise the notes and answer the exam questions exactly to the wording of the notes and it would be very similar to past exam mark schemes). This syllabus is valid from 2022 onwards until changed by CIE.

Typology: Study notes

2023/2024

Available from 12/04/2024

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Motion in acircle
Angular speed velocity
w
W2nF alsoknown as angularfrequency
wY
centripetal alleleration
avcentripetal afare alwaysperpendicular
to velocity
arw
aVW
centripetal force
Fmy
Fmrw
FMVW
pf3
pf4
pf5
pf8
pf9
pfa
pfd
pfe
pff
pf12
pf13
pf14
pf15
pf16
pf17
pf18
pf19
pf1a
pf1b
pf1c
pf1d
pf1e
pf1f
pf20
pf21
pf22
pf23
pf24
pf25
pf26
pf27
pf28
pf29
pf2a
pf2b
pf2c
pf2d
pf2e
pf2f
pf30
pf31
pf32
pf33
pf34
pf35
pf36
pf37
pf38
pf39
pf3a
pf3b

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Motion

in

a circle

Angular

speed

velocity

w

W

2nF

also
known

as

angular

frequency
w

Y

centripetal

alleleration

a
v
centripetal a

f are

always

perpendicular

to

velocity

a
rw

a VW

centripetal force

F

my

F

mrw

F

MVW

horizontal
circular
motion
banked

airplane

anked

angle

a

centripetal

f

o

e

i

vertical

circular

motion

centripetalt

wtt

a

the

centripetalforce

is

the

same

for

both positions

centripetal

1

w

w

conical

pendulum

mm

a

Simple

harmonic

motion

mass

spring

oscillator

a

restoringnet

force

F

my

in

provided

by

the

spring

Iman

if

a x x
w

xp

x

asWtn

usethis

y

31 710

sin

wt

x

to

cos

wt

maximumvelocity

1

v

Vocos

wt

v

Vosin

wt

Vo

woo

i

a

wx.LY

iEonmEiiiisi

iiistion

because

they

don't

work

Total

energy

of SHM systems

E

MW

3ld

or

E

m

Vo

Graphs

spring

oscillator

u

x

x

x

x

x

x

x

L L

I

2T

Definitions

SHM - oscillations of a body where the acceleration is directly proportional to its

displacement, but they act in opposite directions

Damping - the loss of energy and decrease of amplitude of oscillations due to

resistive forces

Resonance - the maximum amplitude of vibrations when forced frequency equals

natural frequency

Forced frequency - frequency at which an object is made to oscillate at

Natural frequency - frequency at which the object is allowed to oscillate freely

Gravitational

fields

Newton's

gravitational

constant

Newton'sLaw

of

gravitation

F

GmYñ

object

mass

rgiei.ie

tn

e

necentre

circular

orbits in

gravitational

fields

v

GM

obtained

by

equating Fo

imatspeed

r

F

i f

ttIÉniEti

Kepler's third law

T

v

pay.at

imeOMabasemass

t

r

T

f

m

j

yn

Gravitational

field

strength

g

Gutbacemass

Derivationof

g

01

Fo

61m

g

in

the

gravitational

potential

is

always negative

because

grav

g

61m

GM forceisalways

attractive

y

Me c.ir

Potential

m

r

base

mass

one

Gravitational

Potential

GM

as

r

decreases

decreases

Ingrative

r

as

r

increases

gative

as

r

so

so

Gravitational

Potential

energy

G P E

Mm

Qm

mg

V

d gh

y

how

would

you

calculate

escape

velocity

Pe

m

PEEKE

Em

dm

v

20

0

1 20

99

locity

Why the path of the moon’s orbit is circular:

  • gravitational force provides the centripetal force
  • Direction of centripetal force is always perpendicular to velocity
  • Centripetal force causes centripetal acceleration

How gravitational f and normal f gives rise to centripetal a (of an object that

rests on the earth’s surface - spins with the earth):

  • Gravitational and normal contact force
  • They act in opposite directions and the resultant f causes centripetal a

already

gave
you
R

so

cannot

make

any

conclusions

about

the

radii

0 kilative

more

negative greater

less

degrees

lies

ie

magtiiideoedmore0somoreg

0

4

0

Electric

fields

E

ftp.finfjeld

strength E

Electric

field

strength E

oV

Od

separation

m

gaiidaietpit.es

Q

EE.PEiing

Electric

field

strength

E

4H

Eora

distance

frog

theatre

infree

space

at

a

distance

r due

to point

charge Ereme

p

of

Coulomb's

Law

F

Q

Q

elefistatic

Eo

r

Siti

gratitatifton's

Law

Electric

Potential

due
to a
pointcharge

elect

point or

Electric

Potential

Energy

of

two point

charges

Ep

49,

r

Δ in

Electric

Potential

energy

when

Feiffer

nfecetchp.GL

aoints

OW

QoVe

o

potential

The direction of the electric field lines

indicates the direction of force on a

positive charge

Potential

gradient

E

repulsive

force attractive

force

mggggging.iq.in

ggiiegutigeotaiamian1epunis

ve

4k

electric

field

strength
potential

gradient

they

are

in

opposite

directions

V

negative

m

positive

m

s

Yerm

nm

positive

m negative

m

E

V

V

E

potential

gradient

diagram

of

attracting

spheres

R

V

Y

there

hinge

in

1

is

Ii

I

When a smaller particle is attracted to a sphere:

  • the particle accelerates towards the sphere
  • The resultant electric force is towards to sphere
  • Magnitude of acceleration of particle increases

as time increases

Features to describe on this type of graph:

  1. Their radii
  2. The sign of their charges
  3. Magnitude of charges on the 2 spheres are equal

Definitions

tothat

point

Electric field strength (at a point) - the electrostatic force per unit positive charge acting

on a stationary point charge at that point

Coulomb’s law: (similar definition to newton’s law)

The electrostatic force between two point charges is proportional to the product of the

charges and inversely proportional to the square of their separation

Electric potential - the work done per unit positive charge in bringing a small test charge

from infinity to a defined point

E.P.E. - the total work done in bringing a test charge from infinity to that point

Potential gradient - the electric field at a particular point is equal to the negative gradient

of a potential-distance graph at that point

Capacitance

T

9f.it

atafeipiates

C

measured

in

Farad

F
C

E

A

d

Capacitance

lot

a spherical

conductor

V

gr

C

C

4TEur

Capacitors

in

series

ya

c

c
Capacitors

in

parallel total

C

C

Electric

potential

energy

W

Q V

area

under

potential

change

graph

W

CV

w

calculating
charge or

p

d across a

capacitor

in

series
or

parallel

need

to

learnthis

calculating

time

constant from

a

smoothed

rectified

discharge

needtolearn graph

v

on

use

vivie

T RC

A

c

B
3C

13

outof

the

page

as

increases

x into

the

page

Inp

wineQ

cuts

  • In this closed circuit, some of the charge on

capacitor A transfers to the plates of capacitor B

(from smaller to larger capacitance)

  • because p.d. Across the capacitors are not equal

Explain how there is an induced e.m.f across wire Q

during the discharge of the capacitor:

  • current in wire P (resistor) gives rise to a magnetic

field

  • As current in P changes, wire Q cuts magnetic flux

of wire P

  • Cutting magnetic flux causes induced e.m.f.

Across Q

Definitions

Capacitance (on two parallel plates) - the charge stored per unit potential difference on

the plates, where the charge is the charge on the plates and the p.d. Is the potential

difference between the plates

Capacitance (of a spherical conductor) - the charge per unit electric potential at the

surface of the sphere

Time constant - the time taken for the charge of a capacitor to decrease to 0.37 of its

original value