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This annotated GCSE Physics equation sheet brings the main required formulas into one clean reference for revision, homework, and exam practice. It is designed for grade 9-10 students who need to choose equations quickly and connect symbols with units. The sheet groups the formulas into three color-coded sections and ten focused cards so students can revise without clutter.

Key Facts

  • Speed is calculated using v=stv = \frac{s}{t}, where vv is speed, ss is distance, and tt is time.
  • Acceleration is calculated using a=Δvta = \frac{\Delta v}{t}, and uniformly accelerated motion can use v2u2=2asv^2 - u^2 = 2as.
  • Force, mass, and acceleration are linked by F=maF = ma, so a larger resultant force gives a larger acceleration for the same mass.
  • Weight is calculated using W=mgW = mg, and gravitational potential energy is calculated using Ep=mghE_p = mgh.
  • Work done and energy transferred are calculated using W=FsW = Fs, while kinetic energy is Ek=12mv2E_k = \frac{1}{2}mv^2.
  • Electrical power can be calculated using P=VIP = VI or P=I2RP = I^2R, and charge flow is calculated using Q=ItQ = It.
  • Waves follow v=fλv = f\lambda, where vv is wave speed, ff is frequency, and λ\lambda is wavelength.
  • Density is calculated using ρ=mV\rho = \frac{m}{V}, and pressure is calculated using p=FAp = \frac{F}{A}.

Vocabulary

Resultant force
The single overall force acting on an object after all forces have been combined.
Energy transfer
The movement of energy from one store or pathway to another, measured in joules.
Power
The rate at which energy is transferred or work is done, calculated using P=EtP = \frac{E}{t}.
Potential difference
The energy transferred per unit charge between two points in a circuit, measured in volts.
Frequency
The number of complete waves passing a point each second, measured in hertz.
Density
The mass per unit volume of a material, calculated using ρ=mV\rho = \frac{m}{V}.

Common Mistakes to Avoid

  • Using mass instead of weight is wrong because mass is measured in kilograms while weight is a force measured in newtons using W=mgW = mg.
  • Forgetting to square the speed in Ek=12mv2E_k = \frac{1}{2}mv^2 gives an answer that is too small and does not follow the kinetic energy relationship.
  • Mixing up current and charge is wrong because II is the rate of charge flow while QQ is the total charge, linked by Q=ItQ = It.
  • Using centimetres instead of metres without converting can make answers wrong because GCSE equations usually require SI units such as m\mathrm{m}, kg\mathrm{kg}, s\mathrm{s}, and N\mathrm{N}.
  • Choosing an equation by matching letters only is risky because the same symbol can mean different quantities, so always check the quantity, unit, and context.

Practice Questions

  1. 1 A car travels 180m180\,\mathrm{m} in 12s12\,\mathrm{s}. Calculate its speed using v=stv = \frac{s}{t}.
  2. 2 A 3.0kg3.0\,\mathrm{kg} object accelerates at 4.0ms24.0\,\mathrm{m\,s^{-2}}. Calculate the resultant force using F=maF = ma.
  3. 3 A heater transfers 12000J12000\,\mathrm{J} of energy in 60s60\,\mathrm{s}. Calculate its power using P=EtP = \frac{E}{t}.
  4. 4 Explain why checking units can help you choose between P=VIP = VI, Q=ItQ = It, and E=PtE = Pt in an electricity question.