Question

Show that the work done( W) by a force( F) on an object of mass M in moving from initial velocity u to final velocity v is equal to the change in kinetic energies of the object. (Illustrate mathematically).​

Answer 1

Answer:

The translational kinetic energy of an object of mass m moving at speed v is KE=12mv2 KE = 1 2 m v 2 . The work-energy theorem states that the net work Wnet on a system changes its kinetic energy, Wnet=12mv2−12mv20 W net = 1 2 m v 2 − 1 2 m v 0 2 .