Impact dynamics for gravity-driven motion of a particle

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dc.contributor.authorVillegas, Cesar E.P.
dc.contributor.authorRojas, Wudmir Y.
dc.contributor.authorBravo, Carlos
dc.contributor.authorRocha, Alexandre R. [UNESP]
dc.contributor.institutionUniversidad Privada Del Norte
dc.contributor.institutionUniversidad Nacional Mayor de San Marcos
dc.contributor.institutionAcademy of Sciences of the Czech Republic
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2021-06-25T10:45:33Z
dc.date.available2021-06-25T10:45:33Z
dc.date.issued2021-01-01
dc.description.abstractIntroductory 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.en
dc.description.affiliationDepartamento de Ciencias Universidad Privada Del Norte
dc.description.affiliationFacultad de Ciencias Físicas Universidad Nacional Mayor de San Marcos
dc.description.affiliationInstitute of Physics Academy of Sciences of the Czech Republic, Cukrovarnická 10
dc.description.affiliationInstituto de Física Teórica Universidade Estadual Paulista (UNESP), Rua Dr. Bento T Ferraz, 271
dc.description.affiliationUnespInstituto de Física Teórica Universidade Estadual Paulista (UNESP), Rua Dr. Bento T Ferraz, 271
dc.identifierhttp://dx.doi.org/10.1088/1361-6404/abb56c
dc.identifier.citationEuropean Journal of Physics, v. 42, n. 1, 2021.
dc.identifier.doi10.1088/1361-6404/abb56c
dc.identifier.issn1361-6404
dc.identifier.issn0143-0807
dc.identifier.scopus2-s2.0-85096844464
dc.identifier.urihttp://hdl.handle.net/11449/206893
dc.language.isoeng
dc.relation.ispartofEuropean Journal of Physics
dc.sourceScopus
dc.subjectbouncing ball
dc.subjectimpact dynamics
dc.subjectmass-spring model
dc.subjectrestitution coefficient
dc.subjectvelocity dependence
dc.titleImpact dynamics for gravity-driven motion of a particleen
dc.typeArtigo
unesp.author.orcid0000-0003-2675-1331 0000-0003-2675-1331[1]
unesp.author.orcid0000-0001-8874-6947[4]

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