Measuring the 2D Vector Aspect of Momentum Using Only One Dimension

TL;DR

This paper introduces a simple laboratory experiment that allows students to analyze the two-dimensional vector aspect of momentum using only basic tools like a stopwatch, ruler, and mass balance, without cameras or complex equipment.

Contribution

It presents a novel experimental setup enabling 2D momentum analysis with minimal equipment, facilitating educational understanding of vector momentum.

Findings

Allows 2D momentum analysis with basic tools

Enables prediction of final velocities in collisions

Simplifies teaching of vector momentum concepts

Abstract

Without the use of cameras to record 2D motion and an appropriate analysis tool, creating a laboratory activity for students to experience the vector nature of momentum can be challenging. Even with appropriate measurement tools, it is difficult to predict the final velocities of the objects in the system unless you know the impact parameter. For accurately predicting the final velocities, the typical momentum experiment involves colliding gliders on an air track or colliding low-friction carts on a track. These one-dimensional experiments require the vector nature of momentum for correct analysis but do not require breaking the momentum vector into components. In this work we present another experiment, using this aforementioned equipment, which only requires a stopwatch, ruler, and mass balance yet requires the two-dimensional analysis of the momentum vector.