Force and Motion
Displacement
$\Delta x{\text{}} = {\text{}}{x_2} - {x_1}$
Average velocity (no acceleration)
${v_{avg\left( x \right)}} = {\rm{}}{{{\rm{\Delta }}x} \over {{\rm{\Delta }}t}} = {\rm{}}{{{x_2} - {\rm{}}{x_1}} \over {{t_2} - {\rm{}}{t_1}}}$
Final velocity (constant acceleration)
$v = {v_0} + at$
Average acceleration
$\bar a = \frac{{\Delta v}}{{\Delta t}}$
Position of a free-falling object
$v = {v_0} + at$
Displacement in two dimensions
$v = {v_0} + at$
Magnitude
$v = {v_0} + at$
Equation for a parabola
$v = {v_0} + at$
Net force
$v = {v_0} + at$
Static friction
$v = {v_0} + at$
Kinetic friction
$v = {v_0} + at$
Gravitational, Electrical, and Magnetic Forces
Gravitational force
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Gravitational field
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Period
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Frequency
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Angular velocity
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Centripetal acceleration
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Centripetal acceleration
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Moment of inertia
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Torque
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Tangential velocity
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Kinetic energy
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Centripetal force
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Total energy in a circular orbit
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Momentum
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Impulse
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Law of conservation of momentum
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Magnetic force on a particle
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Force on a current
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Magnitude of force on a particle
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Magnitude of a magnetic field due to a long, straight current
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Permeability of free space
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Magnetic flux
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Faraday’s law
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Inductance
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Magnetic field strength of a solenoid
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Inductance of a solenoid
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Work done by an electric field
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Capacitance
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Stored energy (capacitor)
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Current
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Resistance
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Ohm’s law
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Resistivity
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Work, Energy, and Momentum
Work
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Kinetic energy
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Power
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Gravitational potential energy
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Change in potential energy
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Hooke’s law
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Elastic potential energy
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Mechanical energy
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Waves and Light
Force on a mass oscillating on a spring
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Period of mass on a spring
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Amplitude (spring)
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Period of simple harmonic motion
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Speed of a transverse wave
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Coulomb’s law
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Force on a charge
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Electric potential
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Electric field
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Speed of light
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Law of reflection
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Snell’s law
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Focal length of a concave mirror
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Distance of an image from a concave mirror
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Magnification of a concave mirror
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Height of the image in a concave mirror
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Distance between slits of a diffraction grating
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Number of lines in a diffraction grating
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Speed of sound in a gas
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Speed of sound in air
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Fundamental frequency in an open pipe
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Fundamental frequency in a closed pipe
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Fluids and Gases
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Thermodynamics
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Modern Physics
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Constants and Conversions
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