Definitions/Laws/Principles AS LEVEL PHYSICS 9702 Physical quantities, units and, measurements 1 Systematic error 2 Random error 3 Precision 4 5 6 Accuracy Scalar Vector An error in readings which causes the reading to be always larger or smaller than (or varying from) the true reading by a constant amount. an error in reading which causes the readings to be scattered above or below the true value and is also not constant. the size of the smallest division (on the measuring instrument). OR. It is determined by the range the measurements/values/readings/data/results. how close the reading is to the true value. A physical quantity that has magnitude but no direction. A physical quantity which has both magnitude and direction. Kinematics 1 2 3 4 Displacement Speed Velocity Acceleration distance in a specified direction (from a point). distance travelled per unit time. The rate of change of the displacement of an object. The rate of change of an object’s velocity. Dynamics 1 Mass 2 Linear Momentum Force Newton 3 4 it is the property of an object which resists change in motion. OR A measure of the amount of matter within an object. The product of an object’s mass and its velocity. Rate of change of momentum. The force that will give a 1 kg mass an acceleration of 1 m s−2 in the direction of the force. 1 N = 1 kg m s −2. 5 6 7 8 9 10 Newton's 1st law Newton's 2nd law An object will remain at rest or keep travelling at constant velocity unless it is acted on by a resultant force. The resultant force acting on an object is equal to the rate of change of its momentum. The resultant force and the change in momentum are in the same direction. OR For an object of constant mass, the acceleration is proportional to the resultant force acting on it. The direction of resultant acceleration is the same as resultant force. When two bodies interact, the forces they exert on each other are equal and opposite. In a closed system, when bodies interact, the total momentum in any specified direction remains constant. Newton's 3rd law Principle of conservation of linear momentum Perfectly Elastic A collision is perfectly elastic when kinetic energy is collision conserved. Momentum and total energy are always conserved. Inelastic A collision is inelastic when kinetic energy is not collision conserved; some is transferred to other forms such as heat. Forces, density and pressure 1 2 Centre of gravity Moment 3 Principle of moments 4 Conditions of equilibrium 5 6 Density Pressure The point where the entire weight of an object appears to act. The moment of a force about a point is the magnitude of the force, multiplied by the perpendicular distance of the point from the line of the force. For an object in (rotational) equilibrium, the sum of clockwise moments about a point is equal to the sum of anticlockwise moments about the same point. 1) The resultant force in any direction must be zero. 2) The resultant torque in any direction (about any point) must be zero. The mass per unit volume of a material. The force acting normally per unit area of a surface. Deformation 1 2 3 4 5 6 7 8 Elastic limit The value of stress (or force) beyond which an object will not return to its original dimensions if the stress (or force) is removed. Limit of The value of stress (or force) beyond which the force and proportionality extension (or compression) of an object are no longer proportional to each other. Hooke's law The extension/compression produced in an object is proportional to the force producing it, provided that limit of proportionality is not exceeded. Spring constant The ratio of force to extension for a spring or a wire. Stress The force acting per unit cross-sectional area (force/cross sectional area). Strain The extension per unit original length produced by tensile or compressive forces (extension/original length). Young modulus The ratio of stress to strain for a given material, resulting from tensile forces, provided Hooke’s law is obeyed. Strain energy the energy stored (in an object) due to extension / or elastic compression / change of shape. potential energy Work, energy and power 1 Work 2 Energy 3 Power 4 Efficiency 5 Gravitational potential energy Kinetic energy 6 The product of the force and the distance moved in the direction of the force. A calculated quantity which is conserved during any change; that which is transferred when a force does work. (Ability to do work.) The rate at which energy is transferred or the rate at which work is done. The ratio of useful output energy to the total input energy for a device, expressed as a percentage. the energy/ability to do work of a mass that it has or is stored due to its position/height in a gravitational field. the energy/ability to do work an object has due to its motion. 7 Principle of conservation of energy The idea that, within a closed system, the total amount of energy in all its forms is unchanged during any change. Waves 1 2 3 4 Transverse wave Longitudinal wave Progressive wave Stationary or standing wave A wave in which the displacement of particles is perpendicular to direction of energy propagation. A wave in which the displacement of particles is parallel to direction of energy propagation. A wave that carries energy from one place to another without the transfer of the medium/material. A wave pattern produced when two progressive waves of the same frequency travelling in opposite directions combine. It is characterised by nodes and antinodes. Energy is trapped in a stationary wave, unlike progressive waves. distance (in a specified direction of particle/point on wave) from the equilibrium position. maximum displacement (of particle / point on wave). The number of oscillations (performed by a point on the wave) per unit time. OR The number of wavefronts passing a point per unit time. time for one oscillation/one vibration/one cycle. OR time between adjacent wavefronts/points in phase. OR shortest time between two wavefronts/points in phase. distance moved by wavefront / energy during one cycle / vibration / oscillation / period (of source) OR minimum distance between two wavefronts/points in phase OR distance between two adjacent wavefronts/points in phase. The change in frequency or wavelength of a wave observed when the source of the wave is moving towards or away from the observer (or the observer is moving relative to the source). When the vibrations of a transverse wave are in all planes. 5 Displacement 6 7 Amplitude Frequency 8 Period 9 Wavelength 10 Doppler effect 11 Unpolarised wave Plane When the vibrations of a transverse wave are in one plane polarised wave only. Malul’s law When a polarised wave is passed through a polarisation filter: 12 13 𝐼 = 𝐼0 cos2 (𝜃) Where; I = final intensity I0 = initial intensity 𝜃 = angle between the transmission axis of the polarisation filter and the axis of the polarised wave Superposition 1 Principle of superposition 2 Interference 3 Diffraction 4 Coherence 5 Conditions for formation of a stationary wave Nodes Antinodes 6 7 When two waves meet at a point, the resultant displacement of the wave produced is equal to the sum of their individual displacements. the sum/addition/combination of the displacements of overlapping/meeting waves The spreading of a wave when it passes through a gap or past the edge of an object. Two sources are coherent when they emit waves with a constant phase difference between them. (1) (two) waves (travelling at same speed) in opposite directions overlap, (2) (waves are same type and) have same frequency / wavelength A point on a stationary wave with zero amplitude. A point on a stationary wave with maximum amplitude. Current of electricity 1 2 Current Ampere 3 4 Coulomb Number density of charge carriers Mean Drift velocity Electromotive force (emf) 5 6 Rate of flow of charge. 1 Ampere is the amount of current when 1 Coulomb of charge passes a point in 1 second. Ampere second. The number of particles, such as free electrons, per unit volume in a material. The average speed of a collection of charged particles when a current is flowing. work done or energy transformed (from other forms to electrical) when unit charge is moved round a complete circuit. 7 8 9 10 11 Potential difference (p.d) Volt Resistance Ohm Ohm’s law work done or energy transformed (from electrical to other forms) per unit charge. Joules per Coulomb. The ratio of potential difference to current. Volts per Ampere. The current in a metallic conductor is directly proportional to the potential difference across its ends, provided its temperature remains constant. D.C. circuits 1 2 Kirchhoff's 1st The sum of the currents entering any point (or junction) in a law circuit is equal to the sum of the currents leaving that same point. This law represents the conservation of charge. Kirchhoff's The sum of the e.m.f.s round a closed loop in a circuit is 2nd law equal to the sum of the p.d.s in that same loop. This law represents the conservation of energy. Particle physics 1 Isotopes 2 Antimatter 3 Fundamental particles Hadrons Baryons Mesons Leptons 4 5 6 7 Nuclei of the same element with a different number of neutrons but the same number of protons. An antiparticle has the same mass as a matter particle but equal and opposite charge. When a particle and its antiparticle interact, they annihilate each other and their mass coverts into pure energy. a particle that is not made up of any other particles. Any particle which is affected by the strong nuclear force. Hadrons that are made up of 3 quarks. Hadrons that are made of 1 quark and 1 antiquark. Any particle which is not affected by the strong nuclear force.