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AP Physics C Mechanics Equations
Equations Used On AP Physics C Mechanics Exam
35
Physics
Undergraduate 1
05/03/2010
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Term
Work (Rotation)
 Definition
W=∫τ dΘ
Term
Work (Force)
 Definition
W=∫F dx
Term
Work Energy Theorem
 Definition
W=-ΔU(position)=ΔK(time)
Term
Kinetic Energy (momentum)
 Definition

K=(p2/2m)

 
Term
Mechanical Energy
 Definition
E=K+U
Term
Elastic Potential
 Definition
Us=(1/2)kx2
Term
Force (Potential Energy)
 Definition
F=-dU(x)/dx
Term

Change in Potential Energy

(Force)

 Definition
ΔU=-∫F(x) dx
Term
Power (Definition)
 Definition
P=dE/dt
Term
Power (Force)
 Definition
P=F•v
Term
Kepler's Third Law
 Definition
T2=(4∏2/GM)r3
Term
Rolling Kinetic Energy
 Definition
K=(1/2)Icmω2+(1/2)Mv2
Term
Force(momentum)
 Definition
ΣF=dp/dt
Term
Torque(Angular Momentum)
 Definition
Στ=dL/dt
Term
Torque(definition)
 Definition
τ=r×F=rf sinφ
Term

Angular Momentum

(Definition)

 Definition

L=r x p=m(r x v)

 

L=rmv sinφ

 
Term

Translational Velocity

(Rolling)

 Definition
vcm=ωR
Term
Angular Momentum
 Definition
L=Iω
Term
Kinetic Energy (Rotating)
 Definition
K=(1/2)Iω2
Term
Parallel Axis Theorem
 Definition
Ipa=Icm + Mh2
Term
Newton's Second Law (Rotational)
 Definition
∑τ=Iα
Term

Rotational Inertia

(Definition)

 Definition
I=∑miri2=∫r2 dm
Term
Centripetal Acceleration
 Definition
ac=v2/r=ω2r
Term
Rotational Kinematics Conversions
 Definition

s=rθ

v=rω

a=rα
Term
Rotational Kinematics Definitions
 Definition

ω=Δθ/Δt=dθ/dt

 

 

α=Δω/Δt=dω/dt
Term
Dot Product
 Definition
A•B=AB cosθ
Term
Cross Product
 Definition
AxB=AB sinθ
Term
Newton's Second Law
 Definition
∑F=ma
Term
Period
 Definition
T=1/f=2∏/ω=2∏r/v
Term
Range Equation
 Definition
R=(vo2/g) sin2θ
Term
Robot Arm Formula
 Definition
F(x)=F0(1+1/6[x2/xo2])
Term
Impulse
 Definition
J=Δp=∫F dt
Term
Force of Friction
 Definition
Ffr≤μFN
Term
Meaning of Derivative
 Definition
Slope of Curve
Term
Meaning of Integral
 Definition
Area under Curve
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