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Physics 12 (SPH4U)

SPH4U (Physics) is the Ontario Grade 12 physics course that prepares students for university programs in science and engineering. The course focuses on dynamics, energy, fields, waves, and modern physics, with an emphasis on problem-solving and real-world applications.

CHAPTERS

Chapter 1 - Kinematics

  • Analyze motion using vector quantities: displacement, velocity, and acceleration

  • Interpret and extract information from motion graphs (x–t, v–t, a–t)

  • Apply kinematic equations to solve real-world motion problems

Includes visual explanations and guided examples

Chapter 2 - Dynamics

  • Newton’s Second Law and its application to motion

  • Newton’s Third Law action–reaction force pairs

  • Static and kinetic friction

  • Free-body diagrams for systems including inclined planes and pulleys

  • Tension forces in connected systems

Includes step-by-step solutions and practice problems

Chapter 3 - Uniform Circular Motion

  • Angular displacement, velocity, and acceleration

  • Centripetal acceleration and centripetal force

  • Relationships between linear and angular quantities

  • Applications of circular motion (cars, satellites, rotating systems)

Chapter 4 - Work and Energy

  • Work as area under the force–displacement graph

  • Kinetic energy and work–energy theorem

  • Potential energy: gravitational and elastic

  • Conservation of mechanical energy in real-world systems

includes energy-based problem-solving strategies

Chapter 5 - Momentum and Collisions

  • Momentum and impulse relationships

  • Conservation of momentum in one- and two-dimensional systems

  • Elastic vs. inelastic collisions and energy considerations

  • Problem-solving in collisions and explosion scenarios

Includes visual explanations and guided examples

Chapter 6 - Gravitational Fields

  • Gravitational field concept and inverse-square law

  • Gravitational potential and potential energy

  • Orbital motion: satellites, circular orbits, escape velocity

  • Applications in astrophysics and space systems

Includes notes, solved examples, and practice problems

Chapter 7 - Electric Fields

  • Electric field concept and field lines

  • Coulomb’s law and forces between point charges

  • Electric potential and potential energy

  • Applications: capacitors, charged particles, and field interactions

Similar to gravitational fields, but for electric charges

Chapter 8 - Magnetic Fields

  • Magnetic fields produced by currents and permanent magnets

  • Motion of charged particles in magnetic fields (circular motion)

  • Magnetic force on conductors and the right-hand rules

  • Applications: electric motors, generators, and particle motion

Includes notes, solved examples, and practice problems

Chapter 9 - Wave

  • Wave properties and relationships

  • Interference, diffraction, and wave superposition

  • Light as an electromagnetic wave and photon model

  • Applications: optics, lenses, and wave phenomena

Includes notes, solved examples, and practice problems

Chapter 10 - Application of The Wave Nature Of Light

  • Wave properties and relationships (v = f\lambda)

  • Interference, diffraction, and wave superposition

  • Light as an electromagnetic wave and photon model

  • Applications: optics, lenses, and wave phenomena

Includes notes, solved examples, and practice problems

Chapter 11 - Special Relativity

  • Einstein’s postulates and the constancy of the speed of light

  • Time dilation and length contraction equations

  • Relativistic energy and momentum relationships

  • Applications: particle accelerators and high-speed motion

Includes notes, solved examples, and practice problems

Chapter 12 - Quantum Mechanics

  • Photoelectric effect and evidence for quantization

  • Photon energy and Planck’s equation (E = hf)

  • Bohr model and discrete energy levels

  • Applications: lasers, semiconductors, and modern devices

Includes notes, solved examples, and practice problems