Energy

see entropy, math notation, international system of units

Kinetic Energy

definition

E_K = mv2 -- 2, where

• E_K is the kinetic energy of a body
• m is the mass of the body
• v is the change in velocity the body can experience

proof

energy is force multiplied by distance. given F = ma,

E_K = $ x. ma = $ x. m'dd t. v = $ v. mv = .mv2 -- 2

--- https://tauday.com/tau-manifesto

definition

E_K = Iww2 -- 2, where

• E_K is the kinetic energy of a body
• I is the moment of inertia of the body
• ww is the change in angular velocity the body can experience

proof

when integrating over mass, velocity is radius multiplied by angular velocity:

E_K = mv2 -- 2 = $ m. v2 -- 2 = $ m. [rww]2 -- 2 = ww2 -- 2 | $ m. r2 = .Iww2 -- 2

--- me

definition

Q = mcDDT, where

• Q is the potential energy stored in the form of heat, see electromagnetic wave
• m is the mass of the body
• c is the specific heat of the body
• DDT is the change in temperature of the body

Potential Energy

definition

E_P = mgh, where

• E_P is the potential energy of a body
• m is the mass of the body
• g is the acceleration of the gravitational field the body is subject to
• h is the distance the body can travel

proof E_P = Fx = max = mgh --- me