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PreprintCC BY 4.0arXiv

Johann Bernoulli's analysis of elastic collisions (a teaching sequence to introduce the dynamic law thereby inspired)

  • Roberta T. Campos
  • Mariana F. B. Francisquini
  • Penha M. Cardozo Dias
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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''.

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Cite

BibTeXRIS
BibTeX
@misc{campos2026johann,
  title = {{Johann Bernoulli's analysis of elastic collisions (a teaching sequence to introduce the dynamic law thereby inspired)}},
  author = {Roberta T. Campos and Mariana F. B. Francisquini and Penha M. Cardozo Dias},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.24067},
  eprint = {2609.24067},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.24067},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Johann Bernoulli's analysis of elastic collisions (a teaching sequence to introduce the dynamic law thereby inspired)
AU  - Roberta T. Campos
AU  - Mariana F. B. Francisquini
AU  - Penha M. Cardozo Dias
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2609.24067
UR  - https://arxiv.org/abs/2609.24067
AB  - 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''.
ER  -