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.

very well organized