{
  "abstract": "In order to explain an elastic collision, Johann Bernoulli considered two bodies connected by a spring. Motion is defined as a succession of states of rest. Then, considering the spring to be a lever with a body at each extremity, the laws of equilibrium imply that `motion' is described by the time variation of the (common) quantity of motion of the bodies; the dynamic law is thus deduced. This inspires a teaching sequence to introduce the dynamic law (in one dimension) in introductory physics course; we call it ``bernoullian sequence''.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.24067",
  "author_total": 3,
  "authors": [
    {
      "name": "Roberta T. Campos"
    },
    {
      "name": "Mariana F. B. Francisquini"
    },
    {
      "name": "Penha M. Cardozo Dias"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bs9qngwjzxnrv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.24067",
  "fulltext_url": null,
  "id": "bs9qngwjzxnrv",
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  "landing_url": "https://arxiv.org/abs/2609.24067",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.ed-ph"
    ],
    [
      "openalex",
      "3109|Experimental and Theoretical Physics Studies"
    ]
  ],
  "openalex": "W7214049845",
  "pdf_url": "https://arxiv.org/pdf/2609.24067",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bs9qngwjzxnrv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2609.24067",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.24067"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3109|Experimental and Theoretical Physics Studies",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Johann Bernoulli's analysis of elastic collisions (a teaching sequence to introduce the dynamic law thereby inspired)",
  "title_text": "Johann Bernoulli's analysis of elastic collisions (a teaching sequence to introduce the dynamic law thereby inspired)",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:19Z",
  "url": "https://research.draconitic.com/paper/bs9qngwjzxnrv",
  "venue": "arXiv",
  "versions": []
}