# Shared Flashcard Set

## Details

AP Physics: Formula Sheet
Subject: Motion
101
Physics
04/11/2011

Term
Definition
 R2 = v12 + v22 θ = tan-1(opposite/adjacent)
Term
Definition
 R cos θ
Term
 Opposite Component Vectors
Definition
 R sin θ
Term
Definition
 R2 = v12 + v22 -- 2 v1 v2 cos θ R/sinθR = v2/sinθ v2
Term
 d-t graph
Definition
 Slope = Velocity Plateau = Stopped Zero = Origin Change Slope Sign = Change Direction Displacement = Last Position + Slope = Forward - Slope = Backwards
Term
 v-t graph
Definition
 Slope = Acceleration Plateau = Constant Velocity Zero = Stopped Pass Origin = Change Directions Displacement = Add up distances Area under the line segment = Distance Total distance = ∑lDistancesl
Term
 a-t graph
Definition
 Plateau = Constant Acceleration + Accelerating -- Decelerating 0 = Nonaccelerating = Constant Velocity
Term
 Constant Velocity (acceleration = 0)
Definition
 v = d/t
Term
 Acceleration Formulas
Definition
 vave.= vi+vf /2 a = (vf - vl)/ t vf = vi + at
Term
 Accelerated Distance
Definition
 d = vit + 1/2 at2
Term
 free fall special case
Definition
 acceleration = gravity = 9.8 m/s2   Assume that: vyi = 0 m/s   vyf = gt   dy = ½gt2 vf2 = 2gdy   t = (2dy/g)½
Term
 Projectiles
Definition
 vx = Rcosθ    vy = Rsinθ tflight = 2vy/g    tmax = tflight/2 range = dy = vxt max height reached midway: dymax= vitmax+½atmax2
Term
 Special Cases : θ and dx
Definition
 solve vx, vy and t in terms of R and plug into vx=dx/t   solve for R
Term
 Special cases: θ and dy
Definition
 solve vy= (2gdy)½ plug vy into vy= Rsinθ solve for R
Term
 Tangential Velocity
Definition
 vc=@Πr/T
Term
Definition
 ac=vc2/r Fc=mac or Fc=mvc2/r
Term
 Minimal orbital velocity (critical velocity)
Definition
 v=(rg)1/2
Term
 Torque
Definition
 τ = Fl or FlsinΘ
Term
 Translational Equilibrium
Definition
 Fup = Fdown
Term
 Rational Equilibrium
Definition
 τclockwise = τcounterclockwise
Term
 Kepler's 1st law
Definition
 orbits are elliptical
Term
 Kepler's 2nd law
Definition
 A1/T1 = A2/T2
Term
 Kepler's 3rd law
Definition
 T12/R13 = T22/R23
Term
 Simple Harmonic Motion
Definition
 Y = A sin (ωt + Φo)   A = amplitude ω = angular frequency Φo = Initial phase
Term
 Force on a spring
Definition
 Fs = -kx   (horizontal displacement)
Term
 Potential energy of spring
Definition
 Us = 1/2kx2
Term
 Veritcal Displacement
Definition
 Fs=Fw   kx=mg   Fs=k(d+y) - mg
Term
 Springs Period
Definition
 T = 2π(m/k)1/2
Term
 Pendulum Period
Definition
 T = 2π(l/g)1/2
Term
 Restoring Force for Pendulum
Definition
 F = mg sinθ
Term
 Period
Definition
 T = 1/f
Term
 Velocity in a Rope
Definition
 v = (FT/μ)
Term
 Forces
Definition
 F = ma
Term
 Horizontal Force
Definition
 Fnet = Fapplied + Ffriction
Term
 Vertical Force
Definition
 Fnet = Fup + Fdown
Term
 Incline Plane Forces
Definition
 Fparallel = Fwgt sinθ   Fnormal = Fwgt cosθ   Fnet = Fapplied + Ffriction + Fparallel
Term
 Gravitational Force
Definition
 FG = -Gm1m2/d2
Term
 Force of Friction
Definition
 Ff = μFN
Term
 Force Weight
Definition
 Fwgt = mg
Term
 Gravitational Potential Energy
Definition
 UG = -Gm1m2/d
Term
 Acceleration due to gravity on any planet
Definition
 g = GM/R2
Term
 Work
Definition
 W = Fd   W = ΔPE and ΔKE and ΔE
Term
 Energy Total
Definition
 Energytotal = PE + KE
Term
 Potential Energy
Definition
 PE = mgh
Term
 Kinetic Energy
Definition
 KE = 1/2mv2
Term
 Momentum
Definition
 p = mv   pbefore = pafter
Term
 Impulse (j)
Definition
 Impulse = Ft = Δp = mvf - mvi
Term
 Elastic Collision
Definition
 m1v1 + m2v2 = nm1v1* + m2v2*
Term
 Inelastic Collision
Definition
 m1v1 + m2v2 = (m1 + m2)v2*
Term
 Resultant Vector
Definition
 R
Term
 Component Vector
Definition
 v1 or v2
Term
 Theta
Definition
 θ   degrees (°)
Term
 Distance
Definition
 d   meters (m)
Term
 Time
Definition
 t   seconds (sec or s)
Term
 Velocity
Definition
 v   meters/seconds (m/s)
Term
 Acceleration
Definition
 a   meters/second2 (m/s2)
Term
 Force
Definition
 F   Newtons (N or kgm/s2)
Term
 Friction
Definition
 f   Newtons (N)
Term
 Mu
Definition
 μ   dimentionless (no unit)
Term
 Weight
Definition
 wgt   Newton (N)
Term
 Mass
Definition
 m   kilogram (Kg)
Term
 Work
Definition
 W   Joules (kgm2/s2)
Term
 Energy
Definition
 E   Joules (J or Nm)
Term
 Power
Definition
 P   Watts (J/s)
Term
 Gravity
Definition
 g   9.8 m/s2
Term
 Period
Definition
 T   seconds/cycles (sec/cycle)
Term
 Spring Constant
Definition
 k   Newton/meter (N/m)
Term
 Momentum
Definition
 p   kilogram meter/second (kgm/s)
Term
 Potential Energy
Definition
 PE   Joules (J)
Term
 Kinetic Energy
Definition
 KE   Joules (J)
Term
 Impulse
Definition
 j   change in momentum (kgm/s)
Term
 Resultant vector (SU)
Definition
 R
Term
 Component vector (SU)
Definition
 v1 or v2
Term
 Theta (SU)
Definition
 θ unknown angle
Term
 Distance (SU)
Definition
 d meters m
Term
 Time (SU)
Definition
 t seconds sec or s
Term
 Velocity (SU)
Definition
 v meter/seconds m/s
Term
 Acceleration (SU)
Definition
 a meters/second2 m/s2
Term
 Force (SU)
Definition
 F Newtons N or kgm/s2
Term
 Friction (SU)
Definition
 f Newtons N
Term
 Mu (SU)
Definition
 µ dimensionless no unit
Term
 Weight (SU)
Definition
 wgt Newton N
Term
 Mass (SU)
Definition
 m kilogram Kg
Term
 Work (SU)
Definition
 W Joules J or kgm2/s2
Term
 Energy (SU)
Definition
 E Joules J or Nm
Term
 Power (SU)
Definition
 P watts J/s
Term
 Gravity (SU)
Definition
 g 9.8 m/s2
Term
 Period (SU)
Definition
 T seconds/cycles sec/cycle
Term
 Spring constant (SU)
Definition
 k newton/meter N/m
Term
 Momentum (SU)
Definition
 p kilogrammeter/second kgm/s
Term
 Potential Energy (SU)
Definition
 PE Joules J
Term
 Kinetic Energy (SU)
Definition
 KE Joules J
Term
 Impulse (SU)
Definition
 Ft change in momentum kgm/s
Term
 Torque (SU)
Definition
 τ Joule or Newtonmeter J or Nm
Term
 Length of Torque arm (SU)
Definition
 l meter m
Term
 Amplitude of Spring (SU)
Definition
 x meter m
Term
 Gravitational Potential Energy (SU)
Definition
 UG Joules J
Term
 Gravitational Force (SU)
Definition
 FG Newtons N
Term
 F-t graph
Definition
 force vs time graph   area under the line segment = Fxt     impulse = change in momentume
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