Simulating central forces in the classroom

TL;DR

This paper introduces an open source Java program for simulating particle motion under central forces, aiding physics education by visualizing complex problems and enhancing intuitive understanding.

Contribution

It presents a customizable, extendable simulation tool designed specifically for classroom use to illustrate central force problems, including non-analytical cases.

Findings

Facilitates visualization of complex central force problems.

Helps students understand the unique features of Newtonian and harmonic forces.

Provides pedagogical strategies for effective teaching with the tool.

Abstract

We describe the easy to customize and extend open source Java program Central force workbench that can be used in the classroom to simulate the motion of a particle (or a two-body system) under central forces. It may be useful to illustrate problems in which the analytical solution is not available as well as to help students to grasp a more intuitive understanding of the main features of this kind of problem and to realize the exceptional nature of the particular case of Newtonian (and harmonic) forces. We also include some suggestions on how to use the program as a pedagogical tool.