The branch of physics which deals with the motion of particles and bodies under the action of given force is called:

Explanation

Mechanics is the branch of physics that deals with the study of motion, forces, and energy. Classical mechanics, which includes both Newtonian mechanics and Lagrangian mechanics, is concerned with the motion of macroscopic bodies under the influence of forces. It provides a framework for understanding the motion of objects, whether they are at rest or in motion, and the forces acting upon them.