Cheatography

# AP Physics Formulas (Kinematic) Cheat Sheet by ReSummit

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 = V`0` + at V`0` = Initial velocity of objectV = Final velocity of objecta = Accele­ration of objectt = Time V2 = V`0`2 + 2aΔx V`0` = Initial velocity of objectV = Final velocity of objecta = Accele­ration of objectΔx / Δy = Change in position Δx = V`0`t + ½at2 Δx / Δy = Change in positionV`0` = Initial velocityt = Timea = Accele­ration F = ma F = Force from objectm = Mass of objecta = Accele­ration of object F`f` = μN F`f` = Force of frictionμ = Coeffi­cient of frictionN = Normal force
Note: Some formulas may involve BOTH the x and y direct­ions, as well as incorp­orate other formulas outside kinema­tics.

### Momentum

 FΔt = Δp = m`V` - m`V0` FΔt = Δp = Impulsem`V` = Final momentumm`V0` = Initial momentum m`Vbefore` - m`V0be­fore` = m`Vafter` - m`V0after`
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 doneF = Force appliedd = Distance travelled W = ΔKE = ½mV2 - ½mV`0`2 W = Work donem = Mass of objectV = Final velocityV`0` = Initial velocity U`g` = mgh U`g` = Work done by gravitym = Massg = Gravityh / d = Height or distance traveled F`S` = kx F`S` = Force of spring (Restored Force)k = Spring coefficientx = Distance from equili­brium W`S` = U`S` = ½kx2 W`S` = Work done by springk = Spring coefficientx = Distance from equili­brium KE = ½mV2 KE = Kinetic Energym = Massv = Velocity of object KE + U`g` + U`S` =KE + U`g` +U`S` + W KE = Kinetic Energy (is the object moving?)U`g` = Work done by gravity (is the object above where you set x = 0?)U`S` = 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 = ω`0` + αt ω`0` = Angular initial velocityω = Angular final velocityα = Angular accelerationt = Time ω2 = ω`0`2 + 2αθ ω`0` = Angular initial velocityω = Angular final velocityα = Angular accelerationθ = Angular change in position θ = ω`0`t + ½αt2 θ = Angular change in positionω`0` = Angular initial velocityt = Timeα = Angular accele­ration V`T` = rω V`T` = Tangential (Linear) velocityr = Radius ω = Angular final velocity a`T` = rα a`T` = Tangential (Linear) accelerationr = Radiusα = Angular accele­ration a`C` = V`T`2 / r a`C` = Centri­petal accelerationV`T` = Tangential (Linear) velocityr = Radius a`r` = rω2 a`r` = Radial Accelerationr = Radiusω = Angular velocity τ = F`⊥`d τ = TorqueF`⊥` = Perpen­dicular Forcesd= Distance from Pivot Point I = Σmr^2 I = Moment of Inertia (Rotat­ional Moment / Rotational Intertia)Σmr2 = Total of each Mass x Radius Squared KE`C` = 1/2(I)ω2 KE`C` = Kinetic Circular EnergyI = Moment of Inertia (Rotat­ional Moment / Rotational Intertia)ω = Angular velocity τ = Iα τ = TorqueI = Moment of Inertia (Rotat­ional Moment / Rotational Intertia)α = Angular accele­ration KE`R` = 1/2 I`P`ω2 = 1/2(I`COM` + mhh)ω2=1/2(m(V`COM`)2) + 1/2Iω2 KE`R` = Kinetic Rolling Energy1/2(m(V`COM`)2) = Sliding Equation1/2Iω2 = 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.

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