Equations to Know for the AP Physics 1 Exam (not on equation sheet)

V=Δx/Δy

-also v=d/t

-simple equation that is not on the AP Exam

a=Δv/Δt

-also a=d/t

-simple equation that is not on the AP Exam

d=½ (Vf+Vo)Δt

-use this equation to find displacement

FgΙΙ =mgsinθ

-force of gravity parallel=mg×sin of the angle

FgPerpendicular=mgcosθ

-force of gravity perpendicular=mg×cos of the angle

MEo=MEf

Conservation of Energy

-can be used when there is NO WORK DONE BY AN APPLIED FORCE or friction

-mechanical energy original=mechanical energy final

-[No Fa//No Ff]

Wf=ΔME

-work due to friction=the change in mechanical energy

-can be used when there is NO WORK DONE BY AN APPLIED FORCE

-[No Fa]

Wnet=change in KE

-net work=change in kinetic energy

-can always be used

P=ΔE/Δt=W/Δt=Fdcos(-)/Δt=Fvcos(-)

ΣPo=ΣPf

Conservation of Linear Momentum

-can be used when the net force on the system is equal to 0 (which is during all collisions and explosions)

ω=Δθ/Δ t

-similar to v=d/t, but in angular velocity terms, so

angular velocity=change in radians/change in time

∝=Δω/Δt

-similar to a=v/t, but in angular acceleration terms, so

angular acceleration=change in velocity/change in time

ωf^2=ωo^2+2∝θ

-similar to Vf^2=Vo^2+2ad, but in angular velocity terms

Δθ=½(ωf+ωo)Δt

-similar to Δd=½(Vf+Vo)Δt, but in angular displacement terms

Vf=rω

-(in a circle)tangential velocity=radius×angular velocity

-angular velocity has to be in radians

Vcm=rω

-velocity in the center of mass of an object=radius×angular velocity

-only works if the object is rolling without slipping

∑F=mac

-sum of the forces in a circle=mass×centripetal acceleration

-can be used when you have to find the force of an object moving in a circular motion

I=∑mr^2

-moment of inertia=sum of the mass of each particle×radius squared

-moment of inertia: the measure of an object's resistance to an angular acceleration

∑Lo=∑Lf

Conservation of Angular Momentum

-sum of angular momentum original=sum of angular momentum final

-valid whenever the net external torque is equal to 0

-ex. ice skater with arms out

-[∑Texternal=0]