Work and Kinetic Energy Theorem

Energy is one of the most fundamental concepts in physics. It's a conserved quantity that can be transformed from one form to another but never created or destroyed.

Work is the process of transferring energy from one system to another through the application of a force over a distance.

$W = \vec{F} \cdot \vec{d} = Fd\cos\theta$

When work is done on an object, it can change the object's kinetic energy. This relationship is described by the work-energy theorem.

$W_{net} = \Delta K = \frac{1}{2}mv_f^2 - \frac{1}{2}mv_i^2$

Understanding work and energy provides powerful tools for analyzing motion without needing to know all the details of the forces involved.