The branch of physics that deals with the study of force, energy, and motion is called mechanics.

Here's a breakdown:

* Mechanics is a broad field within physics that focuses on the behavior of physical objects under the influence of forces.

* Force is an interaction that can cause a change in an object's motion.

* Energy is the capacity to do work, and it's often associated with motion.

* Motion refers to the change in position of an object over time.

Mechanics is further divided into two main branches:

* Kinematics: This focuses on describing motion without considering the forces causing it. It deals with concepts like displacement, velocity, and acceleration.

* Dynamics: This branch investigates the relationship between forces and motion. It includes concepts like Newton's Laws of Motion, work, and power.

So, when you're studying how things move, the forces acting on them, and the energy involved, you're delving into the world of mechanics!