Cheatography

# GCSE Physics equations Cheat Sheet (DRAFT) by caitlin.eliz

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)