Index
Definitions and theorems of Physics 1
The 109 definitions and 144 theorems of the theory of Physics 1, in the order of the topics. Each entry links to its box in the theory page.
Physical quantities, units and vectors
- Definition Physical quantity
- Definition Base and derived quantities
- Definition International System of Units
- Definition Multiples and submultiples
- Definition Dimensions of a quantity
- Theorem Principle of dimensional homogeneity
- Definition Scientific notation
- Definition Significant figures
- Definition Order of magnitude
- Definition Scalar and vector quantities
- Definition Sum of vectors
- Definition Product by a scalar and difference
- Definition Cartesian components
- Theorem Cartesian components and polar coordinates
- Theorem Operations in components
- Definition Dot product
- Definition Work of a constant force
- Definition Cross product
- Definition Torque of a force
- Definition Derivative of a vector
- Theorem Differentiation rules for vectors
- Theorem Derivative of a vector of constant magnitude
Kinematics in one dimension
- Definition Point particle
- Definition Reference frame
- Definition Equation of motion
- Definition Displacement and distance traveled
- Definition Average velocity
- Definition Instantaneous velocity
- Definition Average acceleration
- Definition Instantaneous acceleration
- Definition Uniform rectilinear motion
- Definition Uniformly accelerated motion
- Theorem Laws of uniformly accelerated motion
- Theorem Relation between velocity and displacement
- Theorem Law of falling bodies
- Theorem Laws of vertical launch
- Theorem Rise time and maximum height
- Theorem Displacement as the area under the velocity graph
- Theorem Equation of motion from the acceleration
- Theorem Motion with acceleration proportional to velocity
Motion in a plane: projectiles and circular motion
- Definition Position vector and trajectory
- Definition Displacement and average velocity
- Definition Instantaneous velocity
- Definition Acceleration
- Theorem Equations of motion with constant acceleration
- Definition Projectile motion
- Theorem Equations of motion of the projectile
- Theorem Parabolic trajectory
- Theorem Maximum height
- Theorem Time of flight and range
- Theorem Speed as a function of height
- Definition Angular position and arc length
- Definition Angular velocity
- Definition Period and frequency
- Theorem Centripetal acceleration
- Definition Angular acceleration
- Theorem Uniformly accelerated circular motion
- Theorem Tangential acceleration and centripetal acceleration
- Definition Reference frames in relative motion
- Theorem Galilean transformations
- Theorem Velocity addition
Newton’s laws and forces
- Definition Force
- Theorem Principle of superposition of forces
- Definition Inertial reference frame
- Theorem Newton's first law
- Theorem Newton's second law
- Definition Weight
- Theorem Equilibrium of a point particle
- Theorem Newton's third law
- Definition Constraint force
- Definition Free-body diagram
- Definition Tension of a string
- Theorem Tension along an ideal string
- Definition Ideal pulley
- Definition Sliding friction force
- Theorem Laws of sliding friction
- Theorem Body on a smooth inclined plane
- Theorem Inclined plane with friction
- Theorem Angle of repose
- Theorem Hooke's law
- Theorem Springs in series and in parallel
- Theorem Centripetal force
- Theorem Curve on a level road
- Theorem Banked curve
- Theorem Loop-the-loop
- Theorem Atwood machine
- Theorem Body on a surface pulled by a hanging body
- Definition Fictitious forces
- Theorem Apparent weight in an elevator
- Definition Centrifugal force
Work and energy
- Definition Work of a constant force
- Theorem Work of the net force
- Definition Work of a variable force
- Theorem Work of the elastic force
- Definition Power
- Theorem Power and velocity
- Definition Efficiency of a motor
- Definition Kinetic energy
- Theorem Work-energy theorem
- Definition Conservative force
- Theorem Work of the weight
- Definition Potential energy
- Theorem Potential energy of the weight
- Theorem Elastic potential energy
- Theorem Force as the derivative of potential energy
- Definition Mechanical energy
- Theorem Conservation of mechanical energy
- Theorem Work of nonconservative forces
- Definition Equilibrium position
- Theorem Stability criterion for equilibrium
Oscillations and harmonic motion
- Definition Periodic motion, period and frequency
- Definition Simple harmonic motion
- Theorem Velocity and acceleration in harmonic motion
- Theorem Equation of harmonic motion
- Theorem Amplitude and phase from the initial conditions
- Theorem Mass-spring oscillator
- Theorem Vertical spring
- Theorem Springs in parallel and in series
- Theorem Energy of the harmonic oscillator
- Theorem Small oscillations about a minimum of the potential energy
- Definition Simple pendulum
- Theorem Period of the pendulum for small oscillations
- Theorem Physical pendulum
- Definition Damped oscillator
- Theorem Regimes of the damped oscillator
- Definition Forced oscillator
- Theorem Steady state
- Theorem Resonance
Systems of particles, momentum and collisions
- Definition Momentum
- Theorem Newton's second law in terms of momentum
- Definition Impulse of a force
- Theorem Impulse-momentum theorem
- Definition Average force
- Definition System of particles
- Definition Center of mass
- Definition Center of mass of a continuous body
- Theorem Center of mass of a composite body
- Theorem Total momentum and velocity of the center of mass
- Theorem Center-of-mass theorem
- Theorem Conservation of momentum
- Definition Collision
- Theorem Perfectly inelastic collision
- Theorem Ballistic pendulum
- Theorem Elastic collision in one dimension
- Theorem Oblique elastic collision between equal masses
- Definition Center-of-mass frame
- Theorem König's theorem for kinetic energy
- Theorem Equation of variable-mass systems
- Theorem Rocket equation
Rigid body dynamics
- Definition Rigid body
- Definition Angular position, velocity and acceleration
- Theorem Velocity and acceleration of the points of the body
- Definition Torque of a force
- Definition Angular momentum
- Theorem Angular momentum of a rotating rigid body
- Theorem Torque of the weight
- Definition Moment of inertia
- Theorem Moments of inertia of uniform bodies
- Theorem Parallel-axis theorem (Steiner's theorem)
- Theorem Second cardinal equation
- Theorem Equation of rotational motion about a fixed axis
- Theorem Rotational kinetic energy
- Theorem Work and power in rotations
- Theorem Kinetic energy of a rigid body
- Theorem Gravitational potential energy of a rigid body
- Theorem Conservation of angular momentum
- Definition Pure rolling
- Theorem Kinetic energy in pure rolling
- Theorem Rolling down an inclined plane
- Theorem Equilibrium conditions for the rigid body
- Definition Lever
Gravitation
- Theorem Law of universal gravitation
- Theorem Superposition principle
- Definition Gravitational field
- Theorem Gravitational potential energy
- Definition Gravitational potential
- Theorem Shell theorem
- Theorem Field of a homogeneous sphere
- Definition Gravitational acceleration at the surface
- Theorem Variation of g with altitude
- Theorem Speed and period in a circular orbit
- Theorem Energy of a satellite in a circular orbit
- Theorem Escape velocity
- Definition Bound and unbound motion
- Theorem Kepler's laws
- Theorem Kepler's second law
- Theorem Kepler's third law for circular orbits
Fluid mechanics
- Definition Fluid
- Definition Density
- Definition Pressure
- Theorem Stevin's law
- Definition Absolute pressure and gauge pressure
- Theorem Force on a vertical wall
- Theorem Pascal's principle
- Theorem Hydraulic press
- Theorem Archimedes' principle
- Theorem Condition for flotation
- Definition Ideal fluid and steady flow
- Definition Flow rate
- Theorem Continuity equation
- Theorem Bernoulli's theorem
- Theorem Torricelli's theorem
- Theorem Venturi tube
- Definition Viscosity
- Theorem Poiseuille's law
Temperature, heat and the first law of thermodynamics
- Definition Thermodynamic system and state variables
- Definition Thermal equilibrium
- Theorem Zeroth law of thermodynamics
- Definition Temperature scales
- Definition Linear expansion
- Theorem Area and volume expansion
- Definition Heat
- Definition Heat capacity and specific heat
- Theorem Equilibrium temperature
- Definition Latent heat
- Theorem Fourier's law of conduction
- Definition Ideal gas
- Theorem Boyle's law and Gay-Lussac's laws
- Theorem Equation of state of the ideal gas
- Definition Quasi-static process
- Definition Thermodynamic work
- Definition Internal energy
- Theorem First law of thermodynamics
- Theorem Internal energy of the ideal gas
- Definition Molar heats
- Theorem Change in internal energy of the ideal gas
- Theorem Mayer's relation
- Theorem Isochoric process
- Theorem Isobaric process
- Theorem Isothermal process
- Theorem Adiabatic process
- Definition Thermodynamic cycle
- Theorem Work of a cycle
Second law, heat engines and entropy
- Definition Thermal reservoir
- Definition Reversible process
- Definition Heat engine
- Definition Efficiency
- Definition Refrigerator
- Definition Coefficient of performance of refrigerators and heat pumps
- Theorem Second law: Kelvin-Planck statement
- Theorem Second law: Clausius statement
- Theorem Equivalence of the statements
- Definition Carnot cycle
- Theorem Efficiency of the Carnot cycle
- Theorem Carnot's theorem
- Definition Thermodynamic temperature
- Theorem Clausius inequality
- Theorem Clausius integral over reversible processes
- Definition Entropy
- Theorem Entropy in irreversible processes
- Theorem Change in entropy of the ideal gas
- Theorem Entropy of reservoirs, bodies and changes of state
- Theorem Principle of entropy increase