Manitoba · Grade 12
Physics, Grade 12
- 40S
Manitoba’s Grade 12 science course, from Unit 1: Mechanics to Unit 4: Medical Physics.
- Units
- 4
- Lessons
- 13
- Skills
- 79
- Provincial exam
- None
- Official curriculum
- Manitoba Education
Unit by unit
Every skill in the course, with its official code.
Unit 1 · 33 skills
Unit 1: Mechanics
Kinematics
Deriving the constant-acceleration equations
I can derive the special equations for constant acceleration.
Official code: S4P-1-1
Solving straight-line motion problems
I can solve straight-line constant-acceleration problems.
Official code: S4P-1-2
Relative motion
I can solve relative-motion problems using vectors.
Official code: S4P-1-3
Dynamics
Objects in equilibrium
I can solve vector problems for objects in equilibrium.
Official code: S4P-1-4
Forces on an inclined plane
I can calculate the forces on an object on an inclined plane.
Official code: S4P-1-5
Components of an applied force on an incline
I can calculate the components of an applied force on an incline.
Official code: S4P-1-6
Friction problems on horizontal and inclined surfaces
I can solve friction problems on horizontal and inclined surfaces.
Official code: S4P-1-7
Newton's law with combined systems
I can solve problems for combined mass systems.
Official code: S4P-1-8
Investigating forces on an object
I can investigate the forces acting on an object experimentally.
Official code: S4P-1-9
Momentum
The impulse-momentum equation
I can derive the impulse-momentum equation.
Official code: S4P-1-10
Impulse from a force-time graph
I can determine impulse from a force-time graph.
Official code: S4P-1-11
Conservation of momentum lab
I can illustrate the conservation of momentum experimentally.
Official code: S4P-1-12
Solving momentum problems
I can solve momentum problems.
Official code: S4P-1-13
Impulse in real-life situations
I can relate the impulse-momentum equation to real-life situations.
Official code: S4P-1-14
Projectile Motion
Projectile motion components
I can analyze projectile motion using components.
Official code: S4P-1-15
Free-body diagrams for projectiles
I can draw free-body diagrams for a projectile.
Official code: S4P-1-16
Calculating projectile components
I can calculate a projectile's velocity and position components.
Official code: S4P-1-17
Range, height, and time of flight
I can solve for a projectile's range, height, and time of flight.
Official code: S4P-1-18
Circular Motion
Centripetal acceleration
I can explain centripetal acceleration.
Official code: S4P-1-19
Centrifugal effects and Newton's laws
I can discuss centrifugal effects using Newton's laws.
Official code: S4P-1-20
Free-body diagrams of circular motion
I can draw free-body diagrams for uniform circular motion.
Official code: S4P-1-21
Investigating circular motion
I can investigate the relationships in circular motion experimentally.
Official code: S4P-1-22
The circular-motion equations
I can derive the equations for circular motion.
Official code: S4P-1-23
Solving circular-motion problems
I can solve circular-motion problems.
Official code: S4P-1-24
Work and Energy
Defining work
I can define work.
Official code: S4P-1-25
Work from a force-position graph
I can determine work from a force-position graph.
Official code: S4P-1-26
Work as a transfer of energy
I can describe work as a transfer of energy.
Official code: S4P-1-27
Forms of energy
I can give examples of forms of energy and how they do work.
Official code: S4P-1-28
Deriving kinetic energy
I can derive the equation for kinetic energy.
Official code: S4P-1-29
Gravitational potential energy
I can derive gravitational potential energy near Earth's surface.
Official code: S4P-1-30
Hooke's Law
I can determine Hooke's Law experimentally.
Official code: S4P-1-31
Spring potential energy
I can derive the potential energy of a spring.
Official code: S4P-1-32
Conservation of energy problems
I can solve conservation-of-energy problems.
Official code: S4P-1-33
The official wording · 33 outcomes
- S4P-1-1
- Derive the special equations for constant acceleration. Include:
- S4P-1-2
- Solve problems for objects moving in a straight line with a constant acceleration. Include:
- S4P-1-3
- Solve relative motion problems for constant velocities using vectors.
- S4P-1-4
- Solve vector problems for objects in equilibrium.
- S4P-1-5
- Calculate the forces acting on an object resting on an inclined plane. Include: normal force, friction, components of the gravitational force (mg)
- S4P-1-6
- Calculate the components of exerted on an object resting on an inclined plane.
- S4P-1-7
- Solve problems with for objects on a horizontal surface and on an inclined plane. Include: coefficient of friction
- S4P-1-8
- Solve problems using and using kinematics equations from above. Include: at an angle to horizontal motion; combined mass systems; on an inclined plane; forces acting at various angles on a body
- S4P-1-9
- Perform an experiment to investigate forces acting on an object.
- S4P-1-10
- Derive the impulse-momentum equation from Newton’s second law.
- S4P-1-11
- Determine impulse from the area under a force-time graph. Include: constant positive and negative force, uniformly changing force
- S4P-1-12
- Experiment to illustrate the Law of Conservation of Momentum in one and two dimensions.
- S4P-1-13
- Solve problems using the impulse-momentum equation and the Law of Conservation of Momentum.
- S4P-1-14
- Relate the impulse-momentum equation to real-life situations. Examples: hitting a ball, catching a ball
- S4P-1-15
- Solve simple free-fall problems using the special equations for constant acceleration. Include: horizontal and vertical components of motion of the curved path of a projectile (without air resistance).
- S4P-1-16
- Draw free-body diagrams for a projectile at various points along its path (with or without air resistance).
- S4P-1-17
- Calculate the horizontal and vertical components with respect to velocity and position of a projectile at various points along its path.
- S4P-1-18
- Solve problems for projectiles launched horizontally and at various angles to the horizontal to calculate maximum height, range, and overall time of flight of the projectile.
- S4P-1-19
- Explain qualitatively why an object moving at constant speed in a circle is accelerating toward the centre of the circle.
- S4P-1-20
- Discuss the centrifugal effects with respect to Newton’s laws.
- S4P-1-21
- Draw free-body diagrams of an object moving in uniform circular motion.
- S4P-1-22
- Experiment to determine the mathematical relationship between period and frequency and one or more of the following: centripetal force, mass, and radius.
- S4P-1-23
- Derive an equation for the constant speed and acceleration of an object moving in a circle
- S4P-1-24
- Solve problems for an object moving with a constant speed in a circle using
- S4P-1-25
- Define work as the product of displacement and the component of force parallel to the displacement when the force is constant.
- S4P-1-26
- Determine work from the area under the force-position graph for any force. Include: positive or negative force, uniformly changing force
- S4P-1-27
- Describe work as a transfer of energy. Include: positive and negative work, kinetic energy, conservation of energy
- S4P-1-28
- Give examples of various forms of energy and describe qualitatively the means by which they can perform work.
- S4P-1-29
- Derive the equation for kinetic energy using and kinematics equations.
- S4P-1-30
- Derive the equation for gravitational potential energy near the surface of the Earth (Ep = mgh).
- S4P-1-31
- Experiment to determine Hooke’s Law
- S4P-1-32
- Derive an equation for the potential energy of a spring, using Hooke’s law and a force-displacement graph.
- S4P-1-33
- Solve problems related to the conservation of energy. Include: gravitational and spring potential, and kinetic energy
Key ideas
The constant-acceleration equations relate displacement, velocity, acceleration, and time.
An object in equilibrium has zero net force, so the force vectors sum to zero.
Impulse (force times time) equals the change in momentum: F·Δt = Δ(mv).
A projectile's horizontal motion is constant velocity; its vertical motion is free fall under gravity.
Velocity is a vector, so changing its direction is an acceleration even at constant speed.
Watch out for
- Applying the equations to non-uniform acceleration.
- Forgetting that both component directions must balance.
- Confusing impulse with momentum.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 22 skills
Unit 2: Fields
Exploration of Space
Issues of space exploration
I can analyze issues pertaining to space exploration.
Official code: S4P-2-1
Kepler's laws of planetary motion
I can describe planetary motion using Kepler's three laws.
Official code: S4P-2-2
Newton's Law of Universal Gravitation
I can use Newton's Law of Universal Gravitation.
Official code: S4P-2-3
Gravitational potential energy in space
I can find gravitational potential energy from the force-separation curve.
Official code: S4P-2-4
Escape velocity
I can solve escape-velocity problems.
Official code: S4P-2-5
Low Earth Orbit
Universal gravitation and weight
I can compare universal gravitation with weight and describe the field.
Official code: S4P-2-6
Newton's thought experiment on orbit
I can outline Newton's thought experiment on orbiting.
Official code: S4P-2-7
Calculating satellite motion
I can calculate the characteristics of a satellite's motion.
Official code: S4P-2-8
Defining microgravity
I can define microgravity.
Official code: S4P-2-9
Producing microgravity
I can describe conditions that produce microgravity.
Official code: S4P-2-10
Re-entry into the atmosphere
I can outline the factors involved in re-entry.
Official code: S4P-2-11
Challenges of deep-space exploration
I can describe technological challenges of deep-space exploration.
Official code: S4P-2-12
Electric and Magnetic Fields
Inverse-square gravitational and electric fields
I can compare the inverse-square nature of gravitational and electric fields.
Official code: S4P-2-13
Coulomb's Law
I can use Coulomb's Law.
Official code: S4P-2-14
Uniform field between parallel plates
I can illustrate the uniform field between parallel plates.
Official code: S4P-2-15
Electric potential energy between plates
I can derive the electric potential energy between parallel plates.
Official code: S4P-2-16
Electric potential
I can describe electric potential.
Official code: S4P-2-17
The volt
I can identify the unit of electric potential as the volt.
Official code: S4P-2-18
Potential difference and field between plates
I can relate the field between plates to voltage and separation.
Official code: S4P-2-19
Charges moving through plates
I can solve problems for charges moving between parallel plates.
Official code: S4P-2-20
Hand rules for fields and charges
I can use hand rules for fields and moving charges.
Official code: S4P-2-21
Technologies using electric and magnetic fields
I can describe technologies that use electric and magnetic fields.
Official code: S4P-2-22
The official wording · 22 outcomes
- S4P-2-1
- Identify and analyze issues pertaining to space exploration. Examples: scale of the universe, technological advancement, promotion of global co-operation, social and economic benefits, allocation of resources shifted away from other pursuits, possibility of disaster
- S4P-2-2
- Describe planetary motion using Kepler’s three laws. Examples: relate Kepler’s Third Law to objects other than planets, such as comets, satellites, and spacecraft
- S4P-2-3
- Outline Newton’s Law of Universal Gravitation and solve problems using
- S4P-2-4
- State the gravitational potential energy as the area under the force-separation curve and solve problems using
- S4P-2-5
- Solve problems for the escape velocity of a spacecraft. Include: Law of Conservation of Energy, binding energy
- S4P-2-6
- Compare the Law of Universal Gravitation with the weight (mg) of an object at various distances from the surface of the Earth and describe the gravitational field as
- S4P-2-7
- Outline Newton’s thought experiment regarding how an artificial satellite can be made to orbit the Earth.
- S4P-2-8
- Use the Law of Universal Gravitation and circular motion to calculate the characteristics of the motion of a satellite. Include: orbital period, speed, altitude above a planetary surface, mass of the central body, and the location of geosynchronous satellites
- S4P-2-9
- Define microgravity as an environment in which the apparent weight of a system is smaller than its actual weight.
- S4P-2-10
- Describe conditions under which microgravity can be produced. Examples: jumping off a diving board, roller-coaster, free fall, parabolic flight, orbiting spacecraft
- S4P-2-11
- Outline the factors involved in the re-entry of an object into Earth’s atmosphere. Include: friction and g-forces
- S4P-2-12
- Describe qualitatively some of the technological challenges to exploring deep space. Examples: communication, flyby and the “slingshot” effect, Hohmann Transfer orbits (least- energy orbits)
- S4P-2-13
- Compare and contrast the inverse square nature of gravitational and electric fields.
- S4P-2-14
- State Coulomb’s Law and solve problems for more than one electric force acting on a charge. Include: one and two dimensions
- S4P-2-15
- Illustrate, using diagrams, how the charge distribution on two oppositely charged parallel plates results in a uniform field.
- S4P-2-16
- Derive an equation for the electric potential energy between two oppositely charged parallel plates (Ee = qE∆d).
- S4P-2-17
- Describe electric potential as the electric potential energy per unit charge.
- S4P-2-18
- Identify the unit of electric potential as the volt.
- S4P-2-19
- Define electric potential difference (voltage) and express the electric field between two oppositely charged parallel plates in terms of voltage and the separation between the plates
- S4P-2-20
- Solve problems for charges moving between or through parallel plates.
- S4P-2-21
- Use hand rules to describe the directional relationships between electric and magnetic fields and moving charges.
- S4P-2-22
- Describe qualitatively various technologies that use electric and magnetic fields. Examples: electromagnetic devices (such as a solenoid, motor, bell, or relay), cathode ray tube, mass spectrometer, antenna
Key ideas
Space exploration brings technological advances and global cooperation but also high costs and risks.
Near the surface, weight is mg; farther out, the force follows the inverse-square law and mg weakens.
Both gravitational and electric fields weaken with the square of the distance from the source.
Analyzing the issue means weighing these benefits and drawbacks.
The gravitational field strength g = Gm_Earth/r² decreases with distance from Earth.
Watch out for
- Considering only the benefits or only the costs.
- Assuming g is constant at all altitudes.
- Thinking only gravity follows the inverse-square law.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 15 skills
Unit 3: Electricity
Electric Circuits
Conventional current
I can describe conventional current and its direction.
Official code: S4P-3-1
History of Ohm's Law
I can describe the historical development of Ohm's Law.
Official code: S4P-3-2
Resistance and resistivity
I can investigate the factors affecting resistance.
Official code: S4P-3-3
Building circuits from diagrams
I can construct circuits from schematic diagrams.
Official code: S4P-3-4
Total resistance in series and parallel
I can calculate total resistance for series and parallel resistors.
Official code: S4P-3-5
Calculating circuit quantities
I can calculate current, voltage, and power in circuit networks.
Official code: S4P-3-6
Electromagnetic Induction
Magnetic flux
I can define magnetic flux.
Official code: S4P-3-7
Inducing voltage from changing flux
I can demonstrate how changing magnetic flux induces voltage.
Official code: S4P-3-8
Calculating induced voltage
I can calculate the magnitude of induced voltage in a coil.
Official code: S4P-3-9
Lenz's Law
I can outline and apply Lenz's Law.
Official code: S4P-3-10
The AC generator
I can describe the operation of an AC generator.
Official code: S4P-3-11
Graphing AC voltage
I can graph voltage versus angle for the AC cycle.
Official code: S4P-3-12
Transformers
I can describe the operation of a transformer.
Official code: S4P-3-13
The transformer ratio
I can solve problems using the transformer ratio.
Official code: S4P-3-14
Electricity distribution in Manitoba
I can describe how electricity is generated, transmitted, and distributed in Manitoba.
Official code: S4P-3-15
The official wording · 15 outcomes
- S4P-3-1
- Describe the origin of conventional current and relate its direction to the electron flow in a conductor.
- S4P-3-2
- Describe the historical development of Ohm’s Law. Include: contributions of Gray, Ohm, Joule, and Kirchoff
- S4P-3-3
- Investigate the relationships among resistance and resistivity, length, cross- section, and temperature. Include:
- S4P-3-4
- Demonstrate the ability to construct circuits from schematic diagrams for series, parallel, and combined networks. Include: correct placement of ammeters and voltmeters
- S4P-3-5
- Calculate the total resistance for resistors in series and resistors in parallel.
- S4P-3-6
- Calculate the resistance, current, voltage, and power for series, parallel, and combined networks. Include:
- S4P-3-7
- Define magnetic flux
- S4P-3-8
- Demonstrate how a change in magnetic flux induces voltage.
- S4P-3-9
- Calculate the magnitude of the induced voltage in coils using
- S4P-3-10
- Outline Lenz’s Law and apply to related problems.
- S4P-3-11
- Describe the operation of an AC generator.
- S4P-3-12
- Graph voltage versus angle for the AC cycle.
- S4P-3-13
- Describe the operation of transformers.
- S4P-3-14
- Solve problems using the transformer ratio of
- S4P-3-15
- Describe the generation, transmission, and distribution of electricity in Manitoba. Include: step-up and step-down transformers, power transfer, High Voltage Direct Current
Key ideas
Conventional current is defined as the flow of positive charge, from the positive to the negative terminal.
Magnetic flux is the amount of magnetic field passing through an area (Φ = B⊥·A).
Electrons actually flow the opposite way, from negative to positive.
It depends on the field strength, the area, and the angle between them.
Ohm's Law (V = IR) emerged from the work of Ohm and contemporaries such as Joule and Kirchhoff.
Watch out for
- Thinking conventional current is the electron flow direction.
- Confusing flux with field strength.
- Confusing the terminals for current direction.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 4 · 9 skills
Unit 4: Medical Physics
Radioactivity and Half-Life
The nuclear model of the atom
I can describe the nuclear model of the atom.
Official code: S4P-4-1
Defining radioactivity
I can define radioactivity.
Official code: S4P-4-2
Half-life calculations
I can perform half-life decay calculations.
Official code: S4P-4-3
Types of radiation
I can describe the types of radiation.
Official code: S4P-4-4
Radiation and Health
Ionizing and non-ionizing radiation
I can compare ionizing and non-ionizing radiation.
Official code: S4P-4-5
Applications of non-ionizing radiation
I can describe applications of non-ionizing radiation.
Official code: S4P-4-6
Applications of ionizing radiation
I can describe applications of ionizing radiation.
Official code: S4P-4-7
Effects of radiation on the body
I can describe the effects of radiation on the human body.
Official code: S4P-4-8
Radiation in medical imaging and treatment
I can examine the medical applications of radiation.
Official code: S4P-4-9
The official wording · 9 outcomes
- S4P-4-1
- Describe the nuclear model of the atom. Include: proton, neutron, nucleus, nuclear forces, stability, isotope, mass number, electron, ion
- S4P-4-2
- Define radioactivity as a nuclear change that releases energy. Include: Becquerel units, radioactive decay, half life
- S4P-4-3
- Perform decay calculations using integer numbers of half life.
- S4P-4-4
- Describe the following types of radiation: alpha, beta, and electromagnetic radiation. Include: particle radiation, wave radiation, electromagnetic spectrum, linear energy transfer
- S4P-4-5
- Compare and contrast sources and characteristics of ionizing radiation and non- ionizing radiation. Include: NORM (Naturally Occurring Radioactive Materials), radon, background radiation, incandescent light bulb, hot objects
- S4P-4-6
- Describe various applications of non-ionizing radiation. Examples: communications, microwave oven, laser, tanning bed
- S4P-4-7
- Describe various applications of ionizing radiation. Examples: food irradiation, sterilization, smoke alarm
- S4P-4-8
- Describe the effects of non-ionizing and ionizing radiation on the human body. Include: equivalency of sievert (Sv) and rem units, solar erythema (sunburn)
- S4P-4-9
- Research, identify, and examine the application of radiation to diagnostic imaging and treatment techniques. Examples: nuclear medicine imaging techniques such as MRI, ultrasound, endoscopy, X-ray, CT scanning, PET, heavy isotopes such as Ba; nuclear medicine therapies such as brachitherapy, external beam, gamma knife
Key ideas
An atom has a dense nucleus of protons and neutrons surrounded by electrons.
Ionizing radiation carries enough energy to remove electrons from atoms; non-ionizing radiation does not.
Isotopes differ in neutron number; an ion has gained or lost electrons; nuclear forces hold the nucleus together.
Sources of ionizing radiation include radon and background radiation; non-ionizing sources include light bulbs and hot objects.
Radioactivity is a nuclear change in which an unstable nucleus releases energy as radiation.
Watch out for
- Confusing isotopes (different neutrons) with ions (different electrons).
- Thinking all radiation is ionizing.
- Thinking the nucleus contains electrons.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Plan the term
Pick your term and the days you study. Each unit gets its share of the weeks and comes back a week later for a review. The last two weeks go over the whole course.
Which course?
Manitoba has 3 science courses for Grade 12. Here they are side by side.
- Biology, Grade 12 (Biology 40S)5 units · 45 skillsNo provincial examWhat it coversUnderstanding Biological Inheritance · Mechanisms of Inheritance · Evolutionary Theory and Biodiversity · Organizing Biodiversity · Conservation of Biodiversity
- Chemistry, Grade 1240S6 units · 65 skillsNo provincial examWhat it coversTopic 1: Reactions in Aqueous Solutions · Topic 2: Atomic Structure · Topic 3: Chemical Kinetics · Topic 4: Chemical Equilibrium · Topic 5: Acids and Bases · Topic 6: Electrochemistry
- Physics, Grade 12This course40S4 units · 79 skillsNo provincial examWhat it coversUnit 1: Mechanics · Unit 2: Fields · Unit 3: Electricity · Unit 4: Medical Physics
What a university, college or program asks for is theirs to say: check its admission page, and your school’s course guide.
The official curriculum
This page follows Manitoba’s own curriculum for Physics, Grade 12.
Study it in MapleMind
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Course Companion
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Questions about Physics, Grade 12
What is Physics, Grade 12?
Manitoba’s Grade 12 science course: 4 units and 79 skills, from Unit 1: Mechanics to Unit 4: Medical Physics.
What units are in Physics, Grade 12?
1. Unit 1: Mechanics, 2. Unit 2: Fields, 3. Unit 3: Electricity and 4. Unit 4: Medical Physics.
Is there a provincial exam for Physics, Grade 12?
No. Manitoba gives no provincial exam for Physics, Grade 12.
Can MapleMind help with Physics, Grade 12?
Yes. MapleMind teaches every skill of Physics, Grade 12, step by step, with practice and checks, and its tutor answers questions about any of them. It’s free with daily limits, on iPhone, Android and the web.