Download 2014 Equations

For each equation
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Draw a picture for a scenario in which you would use the equation
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List what quantity each letter represents
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List units for each letter
hanging rope F=λgy
If nonconservative forces
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Power
Rate of energy transfer
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Center of mass
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Momentum
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Collisions
then
Elastic : Momentum and Energy is conserved!
v1i+v1f=v2i+v2f
Inelastic: only momentum conserved!
Completely inelastic: momentum conserved but max
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Impulse
Impulse increases when object bounces due to change of direction
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Rotation
Tangential displacement
Tangential acceleration and angular acceleration are zero if angular velocity is constant
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Constant angular acceleration equations
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Moment of inertia
disk or cylinder:
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Rod:
Angular Momentum
then
If pinned down
means linear momentum not conserved, but no net external torque means angular
momentum is conserved
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Torque
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Rotational Kinetic Energy
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Rolling
pure rolling: f(R)=Iα
down Incline: mgsin
slipping
could be tension instead of friction
a=Rα
f=-ma
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Work
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Power
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Static Equilibrium
Hanging signs, ladders
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Gravity
Kepler 1. Elliptical orbits, sun/planet at focus (faster sun/planet at near focus, slower sun/planet at far focus)
1.
Radius vector sweeps out equal areas in
equal times
mvr=mvr
2.
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Gravitational Potential Energy
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Escape velocity
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Newton’s Universal Law of Gravitation
R=radius of circle
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r=center to center
Inside planet
R= Radius of Planet
Acceleration due to gravity
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Oscillations
Definition of simple harmonic motion
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Energy
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Pendulum
Electricity and Magnetism Significant Equations
Point Charges
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Coulomb’s Law: Force between two charges
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Force on a point charge due to Electric Field
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N/C or V/m
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Gauss’s Law (Graphs!)
conductors vs insulators
Subtract for empty space
A=2
A=4 r2
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Electric Potential Energy due to an electric field
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Electric Potential Energy between two point charges
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Work to bring charge distribution together
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Electric Potential due to an Electric Field
:
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(Constant inside conductors)
start at infinity: If constant E then
Electric potential due to a point charge
(equipotential lines=circles around a point charge, scalar...add!)
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Electric potential due to many point charges
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Capacitance
Farads
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dielectric
Energy stored in capacitors
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Parallel Plate
This is true only because E=uniform between plates
Battery connected Voltage doesn’t change
Battery not connected charge on capacitor doesn’t change
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Capacitors in Series
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Cylindrical/spherical capacitors
(outside in)
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Electric Current
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Current Density
used for Ampere's Law
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Drift velocity
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Ohm’s Law
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Resistivity
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Power
Watts (rate of energy)
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Resistors in Parallel
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Resistors in Series
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Kirchhoff Rules
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RC charging( graphs!!! initially capacitor acts like a wire)
i=dq/dt
Energy =
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RC discharging (maintain voltage) ( graphs!!! initially capacitor acts like battery)
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Magnetic Force on a point charge due to a magnetic field
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Magnetic force on a wire due to a magnetic field
: electric motors
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Magnetic force between two wires
currents the same direction attract
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Velocity selector (constant velocity)
mass spectrometers
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Torque on a loop due to a magnetic field
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Hall Effect- piece of metal/measuring voltage across, use left hand for electrons!!!
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B-S Law (rings of wire)
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Multiply by cos θ if ring on an axis
Solenoid (know derivation)
motors
: n= number of turns per unit length of solenoid
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Ampere’s Law
inside vs. outside wires
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Torrid
: N=number of turns
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Magnetic Induction
Webers
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CALCULUS
Faraday’s / Lenz’s Law
ds=2πr
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Inductance
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Inductor
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(inductors maintain current)
: generators
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Energy Stored in an inductor
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LC circuit
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Gauss’ Law
Gauss’ Law for Magnetism
Faraday’s Law
Ampere’s Law with Maxwell’s displacement current
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Transformer