iGCSE Physics Formula sheet Motion Average speed (m/s) = distance (m) Time (s) Average velocity (m/s) = displacement (m) time (s) (v = s /t) Acceleration = change in velocity time Forces and pressure (a = v-u ) t Force (N) = mass (kg) x acceleration (m/s2) (F = ma) Force (N) = rate of change of momentum (F = m v – mu ) T Weight on Earth (N) = mass (kg) x 10 (m/s2) (F = mg) Momentum (kg m/s) = mass (kg) x velocity (m/s) (p = mv) Density (kg/m3)= ( = M / V) mass (kg) Volume (m3) Hooke’s law: Force = constant x extension = kx (F = kx) Pressure (Pa) = force (N) area (m2) (P = F/A) Pressure underwater = height (m) x density (kg/m3) x gravitational field strength (10m/s2) (P = h x x g) Moment of a force (Nm) = Force (N) x perpendicular distance from pivot (m) (moment = Fd) Energy and work Work (J) = Force (N) x distance (m) (E = Fd) Power (W) = work (J) (P = E/t) time (s) Kinetic Energy (J) = ½ x mass (kg) x velocity2 (KE = 1/2mv2) Gravitational potential energy (J) = mass (kg) x gravitational field strength (g) x height (m) (GPE = mgh) Efficiency (%) = useful energy output (J) x100 total energy input (J) Energy (J) = mass (kg) x specific heat capacity (J/kg oC) x change in temperature (oC) Waves Wave speed (m/s) = frequency (Hz) x wavelength (m) (c = f) Refractive index = speed of light in vacuum speed of light in material (n = v1 / v2) Refractive index = 1 / sin (critical angle in degrees) (n = 1 / sin c) (n = sin i / sin r) refractiveindex = sini sinr Gas laws Pressure x volume = constant (when a gas is it constant temperature) (PV = constant) For change in pressure: Electricity Current (A) = charge (C) (I = Q/t) Time (s) Voltage (V) = Current (A) x Resistance () (V = IR) Power (W) = Current (A) x Voltage (V) (P = IV) Energy transferred (J) = Current (I) x Voltage (V) x time (s) (E = IVt) Resistors in series: Resistors in parallel: Transformers: Power in primary = Power in secondary (IpVp = IsVs) Radioactive decay