Complete course support

Physics Study Hub

See how motion, forces, energy, waves, electricity, light, and modern physics fit together through clear beginner-friendly lessons.

2 free pop-up tests · 217 flashcards · 26 beginner lessons
2 pop-up practice tests26 connected topics1 complete flashcard deck
Browse all lessons
Browse the complete lesson map
Start here

Physics Practice Center

The book includes 12 distinct practice tests: 2 printed tests, available here as online copies, and 10 additional online tests accessed through the book.

These tests cover the full physics survey. For the Core pathway, score only questions on assigned topics and use that question count as the denominator. Treat questions on untaught topics as diagnostic practice.

Opens on this page
Your study map

Physics Course Blueprint

Open each area to see what to master. The bars show how this hub distributes its chapters, so you can plan study time without mistaking the map for an official exam weighting.

26 chapters
01 Measurement and motionBuild the measurement and motion models in Chapters 1–3. 3chapters
12% of this study map
  • Chapter 1: units, vectors, graphs, and measurement
  • Chapters 2–3: velocity, acceleration, and free fall
Browse the complete lesson map
02 Forces and gravityModel interactions and circular motion in Chapters 4–5. 2chapters
8% of this study map
  • Chapter 4: Newton laws and force diagrams
  • Chapter 5: gravitation, circular motion, and orbits
Browse the complete lesson map
03 Momentum, energy, and rotationCompare conservation and force models in Chapters 6–8. 3chapters
12% of this study map
  • Chapters 6–7: momentum, impulse, work, and energy
  • Chapter 8: torque, balance, and rotational motion
Browse the complete lesson map
04 Matter, fluids, and thermal physicsConnect materials and thermal behavior in Chapters 9–12. 4chapters
15% of this study map
  • Chapters 9–10: materials, machines, pressure, and fluids
  • Chapters 11–12: gases, temperature, heat, and thermodynamics
Browse the complete lesson map
05 Oscillations, waves, and soundInterpret periodic motion and wave behavior in Chapters 13–15. 3chapters
12% of this study map
  • Chapters 13–14: oscillations, wave speed, and superposition
  • Chapter 15: sound, hearing, and resonance
Browse the complete lesson map
06 Electricity and magnetismTrace charges, circuits, and magnetic effects in Chapters 16–19. 4chapters
15% of this study map
  • Chapters 16–17: electrostatics, circuits, and capacitors
  • Chapters 18–19: magnetism and induction
Browse the complete lesson map
07 Electromagnetic waves and opticsConnect signals and optical models in Chapters 20–23. 4chapters
15% of this study map
  • Chapters 20–21: electromagnetic waves, reflection, and refraction
  • Chapters 22–23: lenses, interference, diffraction, and polarization
Browse the complete lesson map
08 Modern physics and scientific practiceUse modern models and evidence methods in Chapters 24–26. 3chapters
12% of this study map
  • Chapters 24–25: quantum, atomic, and nuclear physics
  • Chapter 26: experiments, models, and data; revisit throughout the course
Browse the complete lesson map

Study-map shares describe the learning resources on this page. They are not presented as official test percentages.

Physics for Beginners: a free, printable set covering the topics you will see on the test, with answer keys included, so you can practice physics lessons and one skill at a time and check your own work before test day.

Free physics lessons and practice

Physics gets easier when you can see the story.

Start with a moving object, a force, a wave, or a beam of light. Then add the math. This page gives you 26 beginner lessons, two full-length tests, quick formula help, and 217 flashcards you can study at your own pace.

Physics for Beginners book coverGet the complete book

Test what you can do

Two free full-length physics tests

The online versions of the two printed practice exams are free to take here. Each is a complete 40-question form with a timer, automatic scoring, and a worked explanation for every question. Use the first as a checkup, review what you missed, then take the second when the ideas feel settled. High School Physics comes with twelve full-length forms in total: two printed exams and ten additional online forms. The complete tests sample the full 26-chapter survey. For a Core course, select taught-topic items and score only the number assigned; use untaught topics as a diagnostic. The ten additional forms are reached through the QR access page in the book.

Best first step

Practice Exam 1

The same forty questions as Practice Exam 1 in High School Physics.

  • 40 questions
  • 70 minutes
  • Full explanations
Second form

Practice Exam 2

The same forty questions as Practice Exam 2 in High School Physics.

  • 40 questions
  • 70 minutes
  • Full explanations

A calm way to begin

Start with a diagnostic, then study what you missed

You do not need to finish the book before learning where you stand. A short first pass through the test can point you toward the chapters that will help most.

1

Try Test 1

Work without notes. Guess when needed and keep moving, just as you would during a timed test.

2

Sort the misses

Mark each missed question by topic: mechanics, thermal physics, waves, electricity, light, or modern physics.

3

Study the matching lesson

Read the chapter explanation, copy one worked example, and solve a nearby practice problem on your own.

4

Return with Test 2

Take the second form after review. Compare topic by topic, by total score.

26beginner chapter lessons
2free full-length tests
40questions on each test
217searchable flashcards

Build the language first

A real flashcard study tool

Search all 217 cards, choose one part of physics, shuffle the deck, and mark each card as known or ready for another look. Your progress stays on the device you are using.

Quick formula shelf

Know what each formula is saying

A formula is a compact sentence. Name the quantities and picture the situation before substituting numbers.

Motion

average speed = distance ÷ timeaavg = Δv ÷ Δt

Velocity includes direction. Acceleration describes a change in velocity.

Forces & momentum

ΣF = map = mv

Choose the system first. Then add forces or momentum as vectors.

Energy & power

K = ½mv²Pavg = Etransferred ÷ Δt

Track where energy begins, where it ends, and how quickly it moves.

Fluids & heat

ρ = m ÷ VQ = mcΔT

Density connects mass and volume. Heat is energy transferred by a temperature difference.

Waves

v = fλf = 1 ÷ T

Frequency comes from the source. Speed depends on the medium.

Circuits

V = IRP = IV

Series paths share current. Parallel branches share voltage.

Light

n = c ÷ v1/f = 1/dₒ + 1/dᵢ

Angles are measured from the normal. Keep the book’s sign convention beside you.

Atomic & nuclear

E = hfE = mc²

These relations connect energy with frequency and with mass.

The complete learning path

Twenty-six beginner lessons

Open a lesson when you want another explanation of a chapter idea. Each one opens in a new tab, so this page keeps your place.

Common beginner mix-ups

Six pairs worth slowing down for

These words sound close, but they answer different questions. Sorting them early prevents many formula mistakes.

Distance and displacement

Distance follows the whole route. Displacement points from start to finish.

Speed and velocity

Speed has magnitude. Velocity has magnitude and direction.

Mass and weight

Mass measures inertia. Weight is the gravitational force on that mass.

Heat and temperature

Heat is transferred energy. Temperature helps determine which way thermal energy flows.

Current and voltage

Current is charge flow per unit time. Voltage is energy transferred per unit charge.

Real and virtual images

Real images form where rays meet. Virtual images form where rays only appear to meet.

Choose the part you need

Four focused practice paths

Studying one connected group can be easier than jumping across the whole book.

Mechanics

Motion, forces, gravity, momentum, energy, rotation, and materials. Chapters 1 to 9.

Open the lesson list

Thermal physics & waves

Fluids, temperature, heat, oscillations, waves, and sound. Chapters 10 to 15.

Open the lesson list

Electricity & magnetism

Charge, circuits, fields, induction, devices, and communication. Chapters 16 to 20.

Open the lesson list

Light & modern physics

Optics, quantum physics, nuclei, experiments, and data. Chapters 21 to 26.

Open the lesson list

A four-week route

One month of steady physics

Aim for 35 to 50 minutes on five days each week. Leave one day for review and one day completely free.

Week 1

Mechanics

Chapters 1 to 7. Draw every situation, label units, and explain the direction of each vector.

Week 2

Rotation, matter & waves

Chapters 8 to 15. Connect equations to balance, fluids, temperature, oscillation, and sound.

Week 3

Electricity, magnetism & light

Chapters 16 to 23. Sketch circuits, fields, ray paths, and wave patterns before calculating.

Week 4

Modern physics & testing

Chapters 24 to 26. Review flashcards, take both tests, and revisit each missed topic.

Questions beginners ask

Before you start

Do I need calculus?

No. The book and this hub use arithmetic, graphs, proportions, and introductory algebra. A few ideas point toward calculus, but you can understand the physics without taking a calculus course.

Should I memorize every formula?

Begin with the meaning of each quantity and the physical story. Keep a formula sheet nearby while practicing. The formulas you use repeatedly will become familiar on their own.

What should I do when I cannot start a problem?

Write down what is known, choose the object or system, sketch the situation, and attach a unit to every number. Then name the quantity the question asks for. Those four moves usually reveal the next step.

How should I use the practice tests?

Take Test 1 before a long review. Study each explanation and match every miss to a chapter. Use Test 2 later under timed conditions to see which topics now hold up without notes.

Will my flashcard progress be saved?

Yes, on the same browser and device. The flashcard tool stores only your known and review-again marks in your browser. It does not ask for an account.

Where should an absolute beginner begin?

Start with Chapter 1, even if the later topics look more exciting. Units, vectors, graphs, and the problem-solving routine from that chapter appear throughout the book.

Ready for your first checkup?

Set aside 70 minutes, work without notes, and mark every question you want to revisit.

Start Practice Test 1

Physics: 217 key terms and definitions

Every term from the flashcards above, written out and grouped by topic, so you can revise without clicking through the cards, search the page for a term, or print the set.

Atomic, Nuclear & Data

Accuracy
Closeness of a measurement to the true value or to a well-supported reference value.
Activity
Number of nuclear transformations per unit time in a radioactive sample, measured in becquerels. One becquerel is one transformation per second.
Atom
Smallest unit of an element that retains that element’s chemical identity.
Atomic number
Number of protons in a nucleus. The atomic number identifies the element.
Best-fit line
Straight line chosen to represent the overall trend in scattered data. It need not pass through every measured point.
Beta-plus decay
Nuclear transformation in which a proton changes into a neutron while a positron and an electron neutrino are emitted. The mass number stays the same and the atomic number falls by one.
Binding energy
Energy required to separate a nucleus completely into its protons and neutrons.
Binding energy per nucleon
Total nuclear binding energy divided by the number of nucleons. It compares average binding across nuclei of different sizes.
Causation
Relationship in which changing one factor produces a change in another. A causal claim needs control of plausible alternatives or a broader body of converging evidence.
Comparison condition
Reference condition used to judge what changed when the independent variable was changed.
Confounding variable
Unintended variable that changes with the independent variable and can provide another explanation for the result.
Controlled variable
Condition kept as consistent as practical so its changes do not confuse the effect being tested.
Correlation
Statistical association in which two variables change together. Correlation alone does not establish cause.
De Broglie wavelength
Wavelength λ=h/p associated with a particle’s quantum state, where p is momentum magnitude.
Dependent variable
Response that is measured in an investigation.
Electron capture
Nuclear transformation in which a nucleus captures an inner atomic electron, changing a proton into a neutron and emitting an electron neutrino.
Electron-volt
Unit of energy equal to 1.602176634×10^-19 J.
Extrapolation
Prediction beyond the measured or tested input range. Its model risk is greater because the tested pattern or assumptions may fail there.
Fission
Splitting of a heavy nucleus into smaller nuclei, usually producing neutrons and releasing energy.
Fusion
Joining of light nuclei to form a heavier nucleus.
Half-life
Time required for the expected number of undecayed nuclei, or the activity of a large sample, to fall by half.
Independent variable
Quantity deliberately changed in an investigation.
Interpolation
Estimate between measured values inside the tested input range.
Irradiation
Exposure to radiation. Irradiation does not necessarily make the exposed object radioactive.
Isotope
Atom with the same proton number as other atoms of its element but a different neutron number.
Mass defect
Difference between the mass of separated nucleons and the mass of their bound nucleus.
Mass number
Total number of protons and neutrons in a nucleus.
Mean
Sum of a set of values divided by the number of values.
Nucleon
Proton or neutron in a nucleus.
Nuclide
Nuclear species identified by its numbers of protons and neutrons.
Operational definition
Exact procedure used to change or measure a variable so another person can repeat the method.
Orbital
Quantum state of an electron in an atom, represented spatially by a probability distribution rather than a fixed classical path.
Percent difference
Absolute difference between two nonnegative equal-status measurements divided by their average, then multiplied by 100 percent. It is undefined when both measurements are zero.
Percent error
Absolute difference between a measured value and a defensible nonzero reference, divided by the reference magnitude, then multiplied by 100 percent.
Photoelectric effect
Ejection of electrons when individual photons supply enough energy to a material.
Photon
Packet of electromagnetic radiation with energy E=hf.
Planck’s constant
Constant h=6.62607015×10^-34 J s that connects photon energy with frequency through E=hf.
Precision
Closeness of repeated measurements to one another.
Probability density
Quantity that describes how probability is distributed through space. Denser regions of an orbital cloud represent more likely detection locations.
Quantization
Restriction of a physical quantity to particular allowed values.
Quantum uncertainty
Intrinsic limit on how sharply certain pairs of observables, such as position and momentum, can be defined together in one quantum state.
Radiation
Energy carried by electromagnetic waves or energetic particles.
Radioactive contamination
Unwanted radioactive material on or inside an object or person.
Radioactive nucleus
Nucleus that can transform spontaneously into another nuclear state or another nuclide.
Random variation
Unpredictable trial-to-trial scatter in repeated measurements. Repeating and averaging can reduce its effect on an estimated mean.
Range
Largest value minus smallest value in a set. It is a simple measure of observed spread.
Reproducibility
Agreement among measurement results when stated conditions change, such as observer, instrument, location, or time.
Residual
Measured value minus the value predicted by a model.
Sampling
Measuring an analog signal at selected times so those measurements can be processed or encoded.
Stable nucleus
Nucleus with no spontaneous transformation that has an appreciable probability on the timescale being considered.
Systematic error
Consistent shift caused by an instrument, procedure, environment, or model. Repeating the same method does not remove it.
Threshold frequency
Minimum light frequency that can produce photoelectron emission from a specified surface in the ideal one-photon model.
Wave-particle duality
Quantum behavior in which one framework predicts both wave-like patterns and localized detection events.
Work function
Minimum energy needed to remove an electron from a material’s surface.

Electricity & Magnetism

Alternating current
Electric current that reverses direction repeatedly.
Ammeter
Meter connected in series with a branch to measure the current through that branch.
Area normal
Imaginary arrow perpendicular to a surface. The angle in magnetic-flux calculations is measured from this arrow.
Branch
One circuit path between two nodes.
Capacitance
Magnitude of charge on either capacitor plate per volt of potential difference, measured in farads.
Capacitor
Pair of conductors separated by an insulating region that stores separated charge and electric-field energy.
Charge
Property of matter responsible for electric interactions, measured in coulombs.
Circuit
Connected arrangement of sources, conducting paths, and components. A closed circuit has a complete conducting path, while an open circuit has a break.
Coulomb’s law
The inverse-square relationship for the electric-force magnitude between two point charges.
Current
Rate of electric charge flow, measured in amperes.
Direct current
Electric current that keeps one conventional-current direction.
Eddy current
Circulating current induced inside a conductor by changing magnetic flux.
Electric field
Force per unit positive test charge at a point.
Electric potential
Electric potential energy per unit charge at a point, measured in volts.
Electrical conductor
Material in which mobile charge can move readily through the material.
Electrical insulator
Material in which charge remains much closer to where it was placed.
Electromagnetic induction
Production of an emf by changing magnetic flux.
Electromagnetic wave
Traveling disturbance made of linked changing electric and magnetic fields. It can carry energy through a vacuum.
Electromotive force (emf)
Energy supplied per unit charge by a source or induction process, measured in volts. Despite the name, it is not a mechanical force.
Electrostatic induction
Redistribution of charge in a conductor caused by a nearby charged object. With a suitable grounding and removal sequence, it can charge the conductor without contact with the inducing object.
Electrostatics
Study of electric charge at rest and the forces, fields, potentials, and energy associated with it.
Equipotential line
Line whose points share the same electric potential. Electric-field lines cross it at right angles.
Faraday’s law
Relationship stating that induced-emf magnitude depends on how quickly magnetic flux changes and on the number of coil turns.
Generator
Device that uses mechanical work and electromagnetic induction to supply electrical energy.
Grounding
Connecting an object to Earth or another large charge reservoir so charge can flow.
Induced current
Current driven through a closed conducting path by an induced emf.
Lenz’s law
Direction rule stating that induced current produces a magnetic field that opposes the change in magnetic flux.
Magnetic domain
Region in a ferromagnetic material where many atomic magnetic moments are aligned.
Magnetic field
Vector field that describes magnetic influence. Its direction is the way a compass’s north-seeking end points, and its SI unit is the tesla.
Magnetic flux
Measure of magnetic field through a chosen surface.
Magnetic force
Force a magnetic field exerts on a moving charge, current, or magnetic material.
Magnetic pole
One of the two ends or regions of a magnet, called north and south. Like poles repel, and unlike poles attract.
Motional emf
Emf produced when a conductor moves through a magnetic field in a way that separates charge.
Motor effect
Turning effect produced when magnetic forces on different parts of a current loop create torque.
Node
Set of circuit points joined by ideal wire and therefore at the same electric potential in the ideal model.
Ohmic component
Component whose voltage is proportional to current, with constant resistance, over the stated range and under stable physical conditions.
Parallel circuit
Circuit in which branches connect to the same two nodes and therefore share the same voltage.
Potential difference
Change in electric potential energy per unit charge between two points, measured in volts.
Resistance
Relationship between voltage and current, measured in ohms. For an ohmic component, R=(V)/(I) under stable physical conditions.
Right-hand rule
Hand rule used to connect current or positive-charge motion with magnetic-field or magnetic-force direction.
Series circuit
Circuit with one current path, so the same steady current passes through each component.
Solenoid
Coil with many turns that produces a magnetic field when current passes through it.
Step-down transformer
Transformer with fewer secondary turns than primary turns, giving lower secondary voltage in the ideal model.
Step-up transformer
Transformer with more secondary turns than primary turns, giving higher secondary voltage in the ideal model.
Tesla
SI unit of magnetic-field magnitude, written T.
Transformer
Device that transfers electrical energy between circuits through changing magnetic flux in linked coils.
Voltage
Common name for electric potential difference.
Voltmeter
Meter connected across two points to measure their electric potential difference.
Weber
SI unit of magnetic flux, written Wb. One weber equals one tesla square meter.

Energy & Momentum

Angular momentum
Quantity describing rotational motion. For a rigid body rotating about a fixed axis, its component along that axis is L=Iω.
Center of mass
Point that represents the average position of a system’s mass.
Conservation law
Rule stating that a measurable total, such as energy or momentum, remains constant in an isolated system.
Efficiency
Useful output energy divided by input energy, usually written as a percentage.
Energy
Conserved quantity that can be stored or transferred, measured in joules.
Impulse
Product of net average force and time interval. Net impulse equals the change in momentum.
Kinetic energy
Energy associated with motion.
Momentum
Product of mass and velocity. Momentum is a vector.
Power
Rate of doing work or transferring energy, measured in watts.
Work
Energy transferred by the component of force along a displacement. A force perpendicular to the displacement does no work.

Light & Optics

Accommodation
Adjustment of the eye’s optical power as the lens system changes shape to focus objects at different distances.
Additive color mixing
Combining emitted light. In the ideal RGB model, balanced red, green, and blue light can produce white.
Apparent depth
Depth at which an underwater object seems to lie because refracted rays are traced backward by the eye.
Chromatic aberration
Color-dependent focusing error caused when a lens refracts different wavelengths by different amounts.
Concave mirror
Curved mirror whose reflecting surface bends inward. It converges rays that arrive parallel and close to its principal axis.
Converging lens
Lens with positive focal length that bends parallel near-axis rays toward a real focus.
Convex mirror
Curved mirror that spreads parallel reflected rays as though they came from a virtual focus behind the mirror.
Critical angle
Incident angle that produces a refracted ray along the boundary when light travels toward a lower-index medium.
Diffraction grating
Surface or screen with many evenly spaced grooves or openings that separates wavelengths through interference.
Diffuse reflection
Reflection from many differently oriented surface patches, which spreads light in many directions.
Dispersion
Separation of a wave into components because speed or refraction depends on frequency or wavelength.
Diverging lens
Lens with negative focal length that spreads parallel rays as though they came from a virtual focus.
Entrance pupil
Effective aperture opening of an optical system as viewed through its front elements. Its diameter is used in the standard f-number definition.
Eyepiece
Lens system through which a viewer looks. In a microscope or telescope, it magnifies the apparent angular size of an intermediate image.
F-number
Ratio of a lens system’s focal length to its entrance-pupil diameter. At the same focal length, a smaller f-number means a wider effective opening.
Farsightedness
Refractive error in which nearby objects would focus behind the retina when accommodation is insufficient. A converging lens commonly helps correct it.
Focal length
Signed distance from a lens or mirror to its focal point in the stated model. It is positive for a converging device and negative for a diverging device under this book’s convention.
Lens
Transparent optical element that redirects light by refraction at its surfaces.
Magnification
Signed ratio of image height to object height. Its sign gives orientation, and its magnitude gives relative size.
Nearsightedness
Refractive error in which light from a distant object would focus in front of the retina in a relaxed eye. A diverging lens commonly helps correct it.
Normal (optics)
Imaginary line perpendicular to a surface at the point where a ray meets it. Reflection and refraction angles are measured from this line.
Objective
Light-collecting, image-forming optical system in a microscope or telescope: typically a lens system in a microscope or refracting telescope, and a primary mirror in a reflecting telescope.
Optical center
Central point through which a near-axis ray travels approximately straight in the thin-lens model.
Optical power
Reciprocal of focal length in meters, measured in diopters. Positive power is converging, and negative power is diverging.
Plane mirror
Flat reflecting surface that forms an upright, same-size virtual image the same distance behind the mirror as the object is in front.
Principal axis
Central reference line through a lens or curved mirror.
Ray model
Model that represents light paths with straight lines and arrowheads when the relevant objects and openings are much larger than the wavelength.
Rayleigh scattering
Scattering by particles much smaller than the wavelength. In the simplest model, shorter wavelengths scatter much more strongly than longer wavelengths.
Real image
Image formed where light rays actually converge. A screen placed at that location can display the image.
Reflection
Change in direction when a wave returns from a boundary.
Refraction
Change in wave speed at a boundary, often accompanied by a change in direction when the wave does not arrive perpendicular to the boundary.
Refractive index
Ratio n=(c)/(v) that compares light speed in vacuum with light speed in a material.
Specular reflection
Organized reflection from a smooth surface that can preserve enough ray order to form an image.
Spherical aberration
Focusing error in which rays far from the axis meet at a different distance from rays near the axis.
Subtractive color mixing
Mixing pigments, dyes, or filters that remove parts of the incident light spectrum.
Thin-lens model
Approximation that neglects lens thickness and uses near-axis rays to predict image location and magnification.
Total internal reflection
Complete reflection when light approaches a lower-index medium above the critical angle.
Virtual image
Image located where light rays only appear to originate. The rays do not actually meet at the image location.

Matter, Fluids & Thermal

Buoyant force
Upward force a fluid exerts on an object. Its magnitude equals the weight of displaced fluid.
Conduction
Energy transfer through microscopic interactions within or between touching materials.
Continuity equation
Flow relationship that expresses conservation of matter. For steady incompressible flow, A_1v_1=A_2v_2.
Convection
Energy transfer by the bulk motion of a fluid.
Density
Mass per unit volume.
Elastic deformation
Shape change that disappears when the force is removed.
Entropy
Quantity related to the number of possible microscopic arrangements. Total entropy does not decrease in an isolated system.
Heat
Energy transferred because of a temperature difference.
Ideal gas
Model of tiny particles with negligible volume, elastic collisions, and no forces between particles except during collisions.
Internal energy
Total microscopic kinetic and potential energy within a system.
Mole
Amount containing exactly 6.02214076×10^23 specified elementary entities.
Phase change
Change between states of matter, such as melting or boiling.
Pressure
Force perpendicular to a surface per unit area.
Specific heat capacity
Energy required to raise the temperature of one kilogram of a material by one kelvin.
Specific latent heat
Energy transferred per unit mass during a phase change at constant temperature for an ideal pure-substance model.
Strain
Fractional deformation, such as change in length divided by original length.
Stress (normal)
Internal force perpendicular to a cross-section, divided by the cross-sectional area.
Temperature
Quantity that helps determine the direction of thermal energy transfer. In the ideal-gas particle model, absolute temperature is proportional to average translational kinetic energy.
Thermal expansion
Change in dimensions caused by a temperature change.
Young’s modulus
Ratio of tensile stress to tensile strain in a material’s linear elastic range.

Measurement & Models

Displacement
Vector change from initial position to final position.
Resolution
Smallest change an instrument can display or the smallest scale division that can be read. In optics, resolution is the ability to distinguish two nearby details as separate.
Scalar
Quantity described by magnitude alone.
System
Object or collection of objects chosen for analysis.
Uncertainty
Estimate of how far a reported value could reasonably be from the measured quantity’s value.
Vector
Quantity with both magnitude and direction.

Motion & Forces

Acceleration
Rate at which velocity changes. Acceleration can mean a change in speed, direction, or both.
Angular speed
Rate at which an object turns, without a direction sign.
Angular velocity
Rate of change of angular position, including the chosen direction of rotation.
Equilibrium
State in which the relevant net effects balance. Mechanical equilibrium requires zero net force and zero net torque.
Force
Push or pull that can change motion. Force is a vector measured in newtons.
Friction
Contact force that opposes sliding or the tendency to slide.
Inertia
Tendency of an object to resist a change in velocity. Mass measures inertia.
Lever arm
Perpendicular distance from a pivot to a force’s line of action.
Mass
Measure of an object’s inertia, measured in kilograms.
Mechanical advantage
Ratio of output force to input force.
Net force
Vector sum of all external forces acting on the chosen system.
Normal force
Contact force exerted perpendicular to a surface.
Rotational inertia
Measure of resistance to angular acceleration. It depends on mass distribution and the chosen axis.
Speed
Distance traveled per unit time.
Torque
Turning effect of a force about an axis or pivot.
Velocity
Rate of change of position, including direction.
Weight
Gravitational force on an object.

Oscillations, Waves & Sound

Amplitude
Greatest displacement from equilibrium in an oscillation or wave.
Bandwidth
Range of frequencies used or passed by a communication system or device.
Carrier wave
Repeating electromagnetic wave that is varied to carry information.
Damping
Loss of oscillation amplitude as energy leaves an oscillating system.
Decibel
Logarithmic unit used to compare sound intensity levels. A 10 dB increase means ten times the intensity.
Diffraction
Spreading of a wave around an obstacle or through an opening.
Doppler effect
Observed frequency change caused by relative motion along the line between a wave source and an observer.
Frequency
Number of complete cycles per unit time, measured in hertz.
Harmonic
Sinusoidal component whose frequency is an integer multiple of the fundamental frequency. Standing-wave modes are one application.
Hooke’s law
Ideal spring relationship F_s=-kx within the linear elastic range.
Intensity
Average power crossing each unit of area, measured in watts per square meter.
Interference
Addition of overlapping waves to form a resultant wave.
Link budget
Accounting of gains and losses that determines how much signal power reaches a receiver.
Modulation
Controlled variation of a carrier wave to encode information.
Multipath
Arrival of one signal along several reflected or direct paths, sometimes causing strengthening, weakening, or distortion.
Period
Time required for one complete cycle.
Phase
Position within a repeating cycle.
Polarization
In electrostatics, a separation of positive and negative charge within matter. For a transverse wave, the term describes the orientation of the oscillations.
Resonance
Large response when a driving frequency is near a system’s natural frequency.
Signal-to-noise ratio
Comparison of a desired signal with unwanted disturbances present at the receiver.
Simple harmonic motion
Ideal oscillation with a restoring force proportional to displacement and directed toward equilibrium.
Wave
Traveling disturbance that transfers energy and momentum without carrying matter through the full path.
Wavelength
Distance between corresponding points on consecutive wave cycles.
Complete course map

Every lesson in one place

Open a lesson in a new tab and keep this hub nearby as your study home.

26 lessons
Browse the complete lesson directory
\n\n