Formula Sheet Physics O Levels by Umar Danish The City School Okara. 1 Motion, forces and energy 1.1 Physical Quantities H2=P2+B2 (Pythagoras Theorem for vector resultant calculation) 1.2 Motion Speed = distance/time Velocity = displacement/time Average Speed = total distance travelled/total time taken Acceleration = change in velocity/change in time 1.3 Mass and weight Gravitational field strength = weight/mass 1.4 Density Density = mass/volume 1.5 Forces resultant force = mass × acceleration spring constant = force/extension moment = force × perpendicular distance from the pivot 1.6 Momentum Momentum = mass x velocity Impulse = force x time Impulse = FΔt = Δ(mv) resultant force = change in momentum/time taken All formulas provided by Cambridge in Official syllabus for O Levels 2023-2025 are included. 1.7 Work Energy and Power Kinetic energy = mass x velocity2 Gravitational Potential Energy = mass x gravitational field strength x height work done = force × distance moved in the direction of the force (%) efficiency = (useful energy output)/(total energy input) ( × 100%) (%) efficiency = (useful power output)/(total power input) ( × 100%) power = work done x time taken power = energy transferred time taken 1.8 Pressure pressure = force/area change in pressure in liquids= density × gravitational field strength × change in height 2 Thermal Physics 2.1 Kinetic particle model of matter Pressure1xVolume1 = Pressure2xVolume2 2.2 Thermal properties and temperature T (in K) = θ (in °C) + 273 specific heat capacity = change in energy/mass × change in temperature 3 Waves 3.1 General properties of waves Wave speed = frequency × wavelength 3.2 Light n = sin I / sin r n = 1 / sin c linear magnification = image length/object length All formulas provided by Cambridge in Official syllabus for O Levels 2023-2025 are included. 4 Electricity and Magnetism 4.2 Electrical quantities electric current = charge/time e.m.f. = work done (by a source)/charge p.d. = work done (on a component)/charge resistance = p.d/current 4.3 Electrical Circuits Resistance in Series: R = R1 + R2 + R3 1 1 1 1 Resistance in Parallel: 𝑅 = 𝑅1 + 𝑅2 + 𝑅3 Voltage in Series: Vin = V1 + V2 + V3 Voltage in Parallel: Vin = V1 = V2 = V3 Current in Series: Iin= I1 = I2 = I3 Current in Parallel: Iin = I1 + I2 + I3 Two resistors used as potential dividers: R1/R2 = V1/V2 4.4 Practical Electricity power = current × voltage energy = current × voltage × time 4.5 Electromagnetism For transformer calculations: VP/Vs=Np/NS where P and S refer to primary and secondary. For oscilloscope, volts = no. of divisions x y-gain & Time period = no. of divisions x TBS 6 Space Physics 6.1 Earth and the Solar System Average orbital speed = 2πr / T All formulas provided by Cambridge in Official syllabus for O Levels 2023-2025 are included.