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# Physics > Common Equations

Listed below are the most commonly used equations in physics. They are divided into sections for ease of use.

Energy

Equation Written Equation
Gravitational
potential energy
GPE = mgh
Gravitational Potential Energy =
mass x gravity x height
Work Done
W = E
Work Done = Energy transferred
Efficiency
-
Efficiency (%) =
(useful energy out / total energy in) x 100
Kinetic Energy
KE = ½mv2
Kinetic Energy = 0.5 x mass x velocity2
Power
P = E / t
Power = Energy / time
Work Done
W = F x s
Work Done = Force x distance moved
in direction of force

Forces and Motion

Equation Written Equation
Speed
s = d / t
Speed = distance / time
Weight
w = m x g
Weight = mass x gravitational field strangth
(also written as w=mg)
Density
d = m / v
Density = mass / volume
Force
F = m x a
Force = mass x acceleration
(also written as F=ma)
Acceleration
a = (v-u) / t
Accelration = change in velocity / time
Moment
m = F x d
Moment = Force x perpendicular distance from pivot (also written as m=Fd)
Pressure
p = F / a
Pressure = Force / area

Waves

Equation Written Equation
Velocity
v = f x λ
Velocity = frequency x wavelength
(also written as v=fλ).
'λ' is Lambda, the symbol for wavelength