Law of Conservation of Energy

Explanation

Work-Energy Theorem: if W is the work done by a force in changing the velocity of a body from v0 to v, then:
`barW = int_(v_0)^(v) m v dv = m int_(v_0)^(v) v d v = m|(v^2)/(2)|_(v_0)^(v) " or " W = 1/2 mv^2 - 1/2 mv_0^2 = K_f - K_i`
This relationship is called the work-energy theorem.
In words, it states that:
The net work done by the external forces acting on a body is equal to the change in kinetic energy of the body.