The reciprocal velocity force, $F(v)=\frac{ C}{ v}$, despite its theoretical and practical importance, is often neglected in mechanics courses. We use graphical methods to explain how such a force naturally arises from a device called a transmission, and discuss the kinematic consequences of this force. As an application, we discuss the role of this force for both internal combustion engines and electric vehicles.
Categories: physics.ed-ph physics.class-ph