Motion and Forces Equations

Machines

Gravity, Friction, and Pressure

Work and Energy

Motion

Forces

Acceleration = (final velocity - initial velocity) / time
a = [(v)final - (v)initial] / t

Speed = Distance / Time S = d/t

Force = Mass * Acceleration F = ma

Momentum = mass * velocity p = mv

Pressure = Force / Area P = F / A

Work = Force * Distance W = Fd

Gravitational Potential Energy = Mass times Gravitational Acceleration times height
GPE = mgh

Kinetic Energy = (Mass * Velocity Squared) / 2
KE = 1/2mv^2

Mechanical Energy = Potential Energy + Kinetic Energy
ME = PE + KE

Power = Work / Time P = W/t

Power = Energy / Time P = E/t

Efficiency % = (Output Work / Input Work) * 100

Mechanical Advantage = Output Force / Input Force

Ideal Mechanical Advantage = Length of Incline / Height of Incline
IMA = l / h

Ideal Mechanical Advantage = Radius of input / Radius of Output
IMA = (R)in/ (R)out

Ideal Mechanical Advantage = Distance from Input Force to Fulcrum / Distance from Output Force to Fulcrum
IMA = (d)in / (d)out