Title
Impact dynamics for gravity-driven motion of a particle
Date Issued
01 January 2021
Access level
metadata only access
Resource Type
journal article
Author(s)
Publisher(s)
Institute of Physics
Abstract
Introductory mechanics courses use the bouncing ball model to familiarize students with the principles of binary inelastic collisions. Nonetheless, in undergraduate courses, the modeling of binary systems typically disregards the time of contact and the effects of gravity, which yields to a constant coefficient of restitution (COR) and, as a consequence, prevents students from elucidating the real dependence of COR with impact speed. In this work, we proposed a simple experimental setup to investigate the impact dynamics of a spring-mass body that bounces on a rigid plate as well as a theoretical framework that captures the velocity dependence of the COR for low-impact speeds. Our analytical expression for the COR highlights the role-played by gravity, impact speed and collision time on the collision dynamics. Our results suggest that the inclusion of gravity force allows an adequate estimation of the critical impact speed and maximum deformation distance, crucial parameters to differentiate between repulsive and attractive interaction regimes. Our experimental setup enables the clarification of several key concepts of mechanics while it is easy to be performed in most undergraduate laboratories.
Volume
42
Issue
1
Language
English
OCDE Knowledge area
Física de partículas, Campos de la Física
Subjects
Scopus EID
2-s2.0-85096844464
Source
European Journal of Physics
ISSN of the container
01430807
Sponsor(s)
This research received the financial support from the Brazilian agency FAPESP Grant No. 2012/24227-1.
Sources of information:
Directorio de Producción Científica
Scopus