AP Physics 1 Formula Sheet Quiz

v = v₀ + at

1st kinematic equation

x = x₀ + v₀t + ½at²

2nd kinematic equation

v² = v₀² + 2a(∆x)

3rd kinematic equation

a = ∑F/m = Fnet/m

Newton's 2nd Law (solved for acceleration)

|Ff| = µ|Fn|

Force of friction Definition

a = v²/r

Centripetal acceleration

p = mv

Linear Momentum

∆p = F∆t

Impulse Momentum Theorem

K = ½mv²

Kinetic energy (translational)

∆E = W = Fd = Fdcos(θ)

Work Energy Theorem / Work Definition

P = ∆E/∆t

Power

|Fs| = k|x|

Force of a spring (Hooke's Law)

Us = ½kx²

Potential energy of a spring

∆Ug = mg∆y

Gravitational potential energy (near a planet surface)

|Fg| = Gm₁m₂/r²

Gravitational force between two massive objects

θ = θ₀ + ω₀t + ½αt²

1st angular kinematic equation

ω = ω₀ + αt

2nd angular kinematic equation

α = ∑τ/I = τnet/I

Newton's second law for rotation (solved for acceleration)

τ = rF = rFsinθ

Torque Definition

L = Iω

Angular momentum

∆L = τ∆t

Angular Impulse Momentum Theorem

K = ½Iω²

Rotational Kinetic energy

T = (2π)/ω = 1/f

Period in terms of angular frequency and standard frequency

Ts = 2π√(m/k)

Period of spring

Tp = 2π√(l/g)

Period of pendulum

x = Acos(2πft)

Position of an object in SHM as a function of time

Ug = (-Gm₁m₂)/r

Gravitational Potential Energy Between Two Masses

ρ = m/V

Density

g = Fg/m

Gravitational Field (acceleration)