Law of Conservation of Energy

Esys = Emech + Eth

The total energy equation of the system

Constant

The total energy of an isolated system

Isolated and non-dissipative

2 conditions for the system to follow so it mechanical energy is conserved.

Isolated system

1) The system for which the energy is conserved

2) System that does not exchanges energy with its environment

3) Either the system has no interactions with environment OR the interactions simply don’t work.

Projectile + earth

The system to be defined in such a way where the energy can be conserved for a projectile moving near the earth.

Ki + Ui = Kf + Uf

Conservation of mechanical energy preservation where the system is both isolated and non-dissipative

Ki + Ui = Kf + Uf + ΔEth

Conservation of energy principle where the Friction gets involved

ΔEth = fkΔs

Mathematical representation of the thermal energy

Kinetic energy

The energy of the moving object

Magnetic fields and Gravitational fields

Fields where the potential energy is stored

Gravitational force and Electrical force

2 examples of long-range forces

Bonds

Electrical forces between neighboring atoms.