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GCSE Physics equations Cheat Sheet (DRAFT) by

all equations for GCSE

This is a draft cheat sheet. It is a work in progress and is not finished yet.

P1 - energy

K.E = 1/2 mv2
Kinetic energy = 1/2 x mass x (velocity)2
EPE = 1/2 ke2
Elastic potential energy = 1/2 x spring constant x (exten­sion)2
GPE = mgh
Gravit­ational potential energy = mass x gravity x height
TE = mCΔT
Thermal energy = mass x specific heat capacity x change in temp.
C = E/mΔT
Specific heat capacity = energy / mass x change in temp.
Efficiency = (useful energy output/ total energy input) x100
WD = Fs
Work done = Force x distance

P2 - electr­icity

P = E/t
Power = energy transf­erred/ time
P = WD/t
Power = work done/ time
P =V2/ R
Power = (potential differ­ence)2/ resistance
P = IV
Power = current x potential difference
P = I2R
Power = (current)2 x resistance
Q = It
Charge flow = current x time
V = IR
Potential difference = current x resistance
E = ItV
Energy = current x time x potential difference
E = QV
Energy = charge flow x potential difference
E = Pt
Energy transf­erred = power x time
RT = R1+R2+­R3...
Series circuit total resistance
1/RT= 1/R2+ 1/R2+ 1/R3...
Parallel circuit total resistance
 

P3 - particle model of matter

ρ=m/V
Density = mass/ Volume
E=mL
Energy for a change of state = mass x specific latent heat of fusion OR vapori­sation
PV = constant
For gases: pressure x volume = constant
P=F/A
Pressure = force / area

P5 - forces and motion

v=s/t
Speed = distance/ time
v=(v+u)/2 x t
Average speed = (final speed + initial speed)/2 x time
a=Δv/ t
Accele­ration = change in velocity/ time
v=u+at
Velocity = initial velocity + (accel­eration x time)
v2=u2+2as
(Final velocity)2 = (initial velocity)2+(2 x accele­ration x distance)
s=ut+1/2 at2
Distance = (initial velocity x time) + (1/2 x accele­ration x time2)
W=mg
Weight = mass x gravit­ational field strength
F=ma
Newton's 2nd: Force = mass x accele­ration
F=ke
Force = spring constant x extension
EPE=1/2 Fe
Elastic potential energy = 1/2 x Force x extension
Moment­um=mv
Momentum = mass x velocity
F=(Δmo­men­tum)/ t
Force = change in momentum/ time
Momentum before = momentum after
Stopping distance = thinking distance + braking distance
s=1/2 mv2/F
Braking distance = kinetic energy/ Force
Moment=Fs
Moment = Force x distance from pivot
P = F/A
Pressure = Force/ Area
P = hρg
Pressure in a fluid = height x density x gravity
 

P6 - waves

v=fλ
Velocity = frequency x wavelength
T=1/f
Period = 1/freq­uency
Speed of light = 3x108m/s

P7 - magnetism and electr­oma­gnetism

F=BIl
Force on a conductor (at right angles to a magnetic field) carrying a current = magnetic flux density x current x length
Vp/Vs= np/ns
PD across primary coil/ PD across secondary coil = no of turns in primary coil/ no of coils in secondary coil
VpIp=VsIs
PD across primary coil x current across primary coil = PD across secondary coil x current across secondary coil
 

SI units and symbols

Accele­ration
m/s2
a
Area
m2
A
Magnetic flux density
Tesla (Vs/m2)
B
Specific heat capacity
J/kgoC
C
Extension
Metres (m)
e
Energy
Joules (J)
E
Frequency
Hertz (Hz)
f
Force
Newtons (N)
F
Gravit­ational field strength
N/kg
g
Height
Metres (m)
h
Current
Amps (A)
I
Spring constant
Newtons per metre (N/m OR Nm-1)
k
Length
m
l
Specific latent heat
J/kg
L
Mass
Kilograms (kg)
m
Moment
Nm
Moment
Momentum
kgm/s
Momentum OR mv
Pressure
N/m2
P
Power
Watts (W)
P
Charge
Coulombs (C)
Q
Resistance
Ohms (Ω)
R
Displa­cement/ distance
Metres (m)
s
Time
Seconds (s)
t
Half-life
 
t1/2
Period
s
T
Temper­ature
Degrees celcius (oC)
T
Velocity/ speed
Metres per second (m/s OR ms-1)
v
Volume
m3
V
Potential difference
Volts (V)
V
Work done
Nm OR J
WD
Weight
Newtons (N)
W OR mg
Change in...
 
Δ
Wavelength
m
λ
Density
kg/m3
ρ
Activity
Becquerels (Bq)