arXiv subjects

Mariana F. B. Francisquini

Publications and source records attributed to Mariana F. B. Francisquini.

2 recordsLinked to original sources

arXiv2026

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

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''.

physics.ed-ph↗

arXiv2022

Galileo's speedometer: an approach to the concept of instantaneous velocity

Difficulties presented by students on the concept of instantaneous velocity are well known. This is in part due to instantaneous speed being often defined in terms of the notion of mathematical limit, which may not be clear to many students in introductory physics courses. In this work we present a complementary teaching proposal that can help students to get a better grasp of instantaneous velocity. The approach is based on Galileo's ideas on instantaneous speed, which he borrowed from the Mertonian scholars much before infinitesimal calculus was developed.

physics.ed-ph↗