Pro 🔒intermediate~25 min

Work-Energy Theorem

Net work equals change in kinetic energy on inclined surfaces

The work-energy theorem states that the net work done on an object equals its change in kinetic energy. On an incline, multiple forces act simultaneously: gravity component along the slope, normal force, friction, and any applied force. Only forces with a component along the displacement do work. Friction converts mechanical energy to thermal energy, reducing the net kinetic energy gain. Power measures how quickly work is performed — the same task done in less time requires more power. Understanding this theorem bridges Newton's force-based approach with the energy-based perspective essential for thermodynamics and modern physics.

If you push a box twice as far, do you do twice the work?

Only if the force stays constant — in the real world, friction, angles, and changing forces make the answer surprisingly nuanced.