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AP Physics Formulas (Kinematic) Cheat Sheet by

Some physics formulas that will be useful in kinematics. Not a truly complete list of formulas though, as some things are missing. I can't think of any more formulas for this cheat sheet though, so suggestions on what to add would be helpful.

Kinematics 2D Motion

V = V0 + at
V0 = Initial velocity of object
V = Final velocity of object
a = Accele­ration of object
t = Time
V2 = V02 + 2aΔx
V0 = Initial velocity of object
V = Final velocity of object
a = Accele­ration of object
Δx / Δy = Change in position
Δx = V0t + ½at2
Δx / Δy = Change in position
V0 = Initial velocity
t = Time
a = Accele­ration
F = ma
F = Force from object
m = Mass of object
a = Accele­ration of object
Ff = μN
Ff = Force of friction
μ = Coeffi­cient of friction
N = Normal force
Note: Some formulas may involve BOTH the x and y direct­ions, as well as incorp­orate other formulas outside kinema­tics.

Momentum

FΔt = Δp = mV - mV0
FΔt = Δp = Impulse
mV = Final momentum
mV0 = Initial momentum
mVbefore - mV0before = mVafter - mV0after
Note: Momentum is ALWAYS conserved. You may need to note that the momentum before is equal to the momentum after.

Energy

W = Fd
W = Work done
F = Force applied
d = Distance travelled
W = ΔKE = ½mV2 - ½mV02
W = Work done
m = Mass of object
V = Final velocity
V0 = Initial velocity
Ug = mgh
Ug = Work done by gravity
m = Mass
g = Gravity
h / d = Height or distance traveled
FS = kx
FS = Force of spring (Restored Force)
k = Spring coefficient
x = Distance from equili­brium
WS = US = ½kx2
WS = Work done by spring
k = Spring coefficient
x = Distance from equili­brium
KE = ½mV2
KE = Kinetic Energy
m = Mass
v = Velocity of object
KE + Ug + US =
KE + Ug +US + W
KE = Kinetic Energy (is the object moving?)
Ug = Work done by gravity (is the object above where you set x = 0?)
US = Work done by spring (is a spring involved?)
W = Friction (did energy go to friction?)
Note: Energy is SOMETIMES conserved depending on the situation. Inelastic collisions cannot apply the conser­vation of energy because of the loss of energy. However, you can apply the conser­vation of energy for elastic collis­ions.
 

Rotational Motion

ω = ω0 + αt
ω0 = Angular initial velocity
ω = Angular final velocity
α = Angular acceleration
t = Time
ω2 = ω02 + 2αθ
ω0 = Angular initial velocity
ω = Angular final velocity
α = Angular acceleration
θ = Angular change in position
θ = ω0t + ½αt2
θ = Angular change in position
ω0 = Angular initial velocity
t = Time
α = Angular accele­ration
VT = rω
VT = Tangential (Linear) velocity
r = Radius
ω = Angular final velocity
aT = rα
aT = Tangential (Linear) acceleration
r = Radius
α = Angular accele­ration
aC = VT2 / r
aC = Centri­petal acceleration
VT = Tangential (Linear) velocity
r = Radius
ar = rω2
ar = Radial Acceleration
r = Radius
ω = Angular velocity
τ = Fd
τ = Torque
F = Perpen­dicular Forces
d= Distance from Pivot Point
I = Σmr^2
I = Moment of Inertia (Rotat­ional Moment / Rotational Intertia)
Σmr2 = Total of each Mass x Radius Squared
KEC = 1/2(I)ω2
KEC = Kinetic Circular Energy
I = Moment of Inertia (Rotat­ional Moment / Rotational Intertia)
ω = Angular velocity
τ = Iα
τ = Torque
I = Moment of Inertia (Rotat­ional Moment / Rotational Intertia)
α = Angular accele­ration
KER = 1/2 IPω2 = 1/2(ICOM + mhh2
=1/2(m(VCOM)2) + 1/2Iω2
KER = Kinetic Rolling Energy
1/2(m(VCOM)2) = Sliding Equation
1/2Iω2 = Rotation Equation
l = mrω
l = Momentum of a particle
L = Iω
L = Momentum of a rigid body (not a particle)
NOTE:
- You may need to consider that ω = dθ / dt and α = dω / dt.
- Account for all objects rotating the pivot point when calcul­ating I.
- Momentum is ALWAYS conserved.
 

Comments

very well organized

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