AP Physics C: Mechanics Formula Review

What is the significance of the integral of v(t)?

What is the significance of the integral of v(t)?

Displacement

What is the significance of the integral of F(t)?

Impulse

What is the significance of the integral of F(x)?

Work

What is the significance of the derivative of x(t)?

Velocity

What is the significance of the derivative of v(t)?

Acceleration

What is the significance of the derivative of U(x)?

Force

Power equations (skip because this one’s impossible and it’s just here to list all of them)

Average power

• Average force/average time

• Delta K/Delta t

• Work/Delta t

• Force times velocity

Real power

• (Force times displacement)/time

• Derivative of work with respect to time

x(t) SHM Equation

Acos(omega)t

v(t) SHM Equation

-(omega*A)sin(omega*t)

a(t) SHM Equation

(omega²*A)cos(omega*t)

Ug equals?

-G*((m1*m2)/r)

Fsatellite equals?

G*((m1*m2)/r²)

Vorbital equals?

sqrt((G*(m1*m2)/r)

Angular momentum formulas

L=I*omega

• L=I*(v/r)

• L=rmvsin(theta)

Linear Kinematics Equation #1

Vf=Vi+(a*deltat)

Linear Kinematics Equation #2

deltax=(.5(Vi+Vf))*deltat

Linear Kinematics Equation #3

deltax=(Vi*deltat)+(.5a*deltat²)

Linear Kinematics Equation #4

Vf²=Vi²+(2a*deltax)

Linear Kinematics Equation #5

deltax=(Vf*deltat)-(.5a*deltat²)

Rotational Kinematics Equation #1

omegaf=omegai+(alpha*deltat)

Rotational Kinematics Equation #2

deltatheta=(.5(omegai+omegaf))*deltat

Rotational Kinematics Equation #3

deltatheta=(omegai*deltat)+(.5alpha*deltat²)

Rotational Kinematics Equation #4

omegaf²=omegai²+(2alpha*deltatheta)

Rotational Kinematics Equation #5

deltatheta=(omegaf*deltat)-(.5alpha*deltat²)

Point sum center of mass

(x1*m1)…/(sum of mass)

Point sum for center of inertia

I=(sum of mass)*r²