Advanced Placement Physics C: Mechanics with calculus-based physics principles.
Work, energy, and power connect forces with the ability to cause movement.
Work is done when a force moves an object: \( W = \int \vec{F} \cdot d\vec{r} \). With calculus, we handle varying forces and curved paths.
Energy can't be created or destroyed, only transformed. Calculus helps analyze systems where energy changes form.
Power is the rate at which work is done: \( P = \frac{dW}{dt} \).
Engines, roller coasters, and even jumping frogs all rely on the interplay of work, energy, and power.
\[W = \int \vec{F}\cdot d\vec{r}\]
A crane lifting a load uses energy, does work, and requires power.
A sprinter's muscles convert chemical potential energy into kinetic energy.
Work, energy, and power describe how forces transfer and transform energy to make things happen.