Law of conservation of energy
The law of conservation of energy states that the total energy of an isolated system remains constant, it is said to be conserved over time.i.e the sum of kinetic and potential energy of the object or a system remains same and is called as the total mechanical energy.
Often, a mechanical system is not fully closed. Either the system can do work on the surroundings (for example, by heating), or work can be done on the system (for example, air resistance, or friction).In This case we discribe the total work done as \[W_{work \: done} \].
The unit of energy and work is Joules (J).
( initial kinetic energy) + (initial potential energy ) + (other work ) = (final kinetic energy)+ (final potential energy)
\[k_{1}+U_{1}+W_{other\: work\: done}=k_{2}+U_{2} \]
K1 = initial kinetic energy (Joules, J)
U1 = initial potential energy (J)
wother = other work, gained or lost to the system (J)
K2 = final kinetic energy (J)
U2 = final potential energy (J)
let K1=i, k2=f, U1=a, U2=b
