How are work and a change in energy related?

1 Answer
May 30, 2015

Work done is equal to the change in energy (kinetic, potential, vibrational or rotational).

This is termed as the work-energy theorem.

The result can be derived very easily for simple cases involving rigid bodies in translational motion.

Try to cook up your own proof on this.
(Hint : Use the notion of time rate of change of kinetic energy #(dK)/dt#, simplify and proceed.You may need to use #F=Ma# once. Finally you should arrive at the integral, #int_(K""_i)^(K""_f) dK = int_0^xF*dx# . This shall do it.