AP Physics 1 essential equations

Not all of them, but most of them

Velocity equation

V = x/t

or

(v_i - v_f / 2) = v_average

Displacement equation

x = vt

Kinematic Projectile equation (no Final Velocity)

x = v₀t + 1/2at²

Kinematic Projectile equation (No displacement)

v_f=v₀+at

Kinematic Projectile equation (No time)

v_f² = v₀² +2ax

Kinematic Projectile equation (No Acceleration)

(v_i - v_f / 2)t = x

Acceleration Equation

a_average = Δv/Δt

net force equation

F = ma

Gravitational force equation

F_g = mg

Static Friction Force equation

F_s ≤ Μ_sF_N

Kinetic Friction Force Equation

F_k = Μ_kF_N

Centripetal Acceleration

a_c = v² / radius

Newton’s Law of universal Gravitation

F_g = G((m₁m₂)/r²)

Work Equation

W = Fdcos(θ)

Kinetic Energy Equation

K_e = 1/2mv²

Gravitational Potential Energy Equation

U_g = mgh

Work energy theorem equation

W_net = ΔK_e

Power equation

P = W/Δt

Momentum Equation

p = mv

Impulse (Change of momentum) equation

J = FΔt = Δp

Conservation of momentum equation

m_1iv_1i+m_2iv_2i…….=m_1fv_1f+m_2fv_2f…….

Torque

τ = rFsin(θ)

Moment of Inertia

I = sum of (m_ir²_i)

Newton’s 2nd law for rotation (Net of torque)

τ_net = Iα

Rotational Kinetic Energy Equation

K_e-rotational = 1/2Iω²

Hooke’s Law equation

F_s = -kx

Elastic Potential Energy equation

U_s = 1/2kx²

Period of a spring-mass system equation

T = 2pi * sqrt(m/k)

Period of a simple pendulum equation

T = 2pi * sqrt(L/g)

Centripetal Force equation

mv²/Radius

Centripetal Velocity equation

2piR/T

Kinematic Projectile equation Original velocity of the object (not x or y components)

V = sqrt(V_x² + V_y²)

Kinematic Projectile equation angle that the object was thrown

θ = tan^-1(V_y / V_x)

Kinematic Projectile equation V_y component

V_y = V * sin(θ)

Kinematic Projectile equation V_x component

V_x = V * cos(θ)

Bernoulli’s Equation Static pressure + Dynamic Pressure = Total Pressure

P₁ + ½ρv₁² + ρgh₁ = P₂ + ½ρv₂²

P₁ + ½ρv₁² + ρgh_{1 = Constant}

Fluid Continuity Equation

A₁V₁=A₂V₂

Pascal’s Principle (Pressure equation)

P = F/A

Archimedes Principle (Second Pressure equation)

P = ρgh

Density Equation

ρ = m/V