# Motion, Forces, and Energy in More Than One Dimension

• Jay Newman
Chapter

In the previous three chapters we have detailed the kinematics of one-dimensional motion, forces producing the motion, their dynamical connections via Newton’s laws, and the important concept of energy. Having built up an arsenal of tools for the description and prediction of motion in one dimension, we need just one more added tool in order to generalize to the study of kinematics and dynamics in two or three dimensions. Although we obviously live in a three-dimensional world, it is very useful to study two-dimensional motion, which can describe any motion confined to a plane, for example, free-fall near the Earth’s surface—but now with horizontal motion thrown in—or circular motion, or the local motions of a membrane protein confined to a cell surface. We limit most of our discussion to two-dimensional motion, but the extension to three dimensions is clear.

The missing mathematical tool that we need to complete this agenda is vector algebra and is the opening subject of this chapter....

## Keywords

Normal Force Frictional Force Incline Plane Circular Motion Sedimentation Coefficient
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.