Mechanical Energy

The sum of an object’s kinetic energy and gravitational potential energy. $E_m=E_k+E_g$

Kinetic Energy ($E_k$)

The energy possessed by moving objects, It is a scalar quantity

$E_k=\frac{1}{2}m{v}^2$

The Relationship Between Mechanical Work and Kinetic Energy

$W=\Delta E_k$ $W=E_{k_f}-E_{k_i}$

Work-Energy Principle

Work is the change in energy $W=\Delta E_k$

Gravitational Potential Energy ($E_k$)

The energy possessed by an object due to its height $E_g=mgh$