Uma nota sobre o movimento parabólico: uma elipse e um círculo inesperados

Soares, Viviane; Tort, A. C.; Gonçalves, Alina

doi:10.1590/s1806-11172013000200031

Search citation statements

Order By: Relevance

Paper Sections

Select...

Evolution Of the Apexes1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 2 publications

(2 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…describes an ellipse in the function of the launch angle (see, for example, [24,52,[54][55][56][57]). If the retarding force is considered, i.e., k ≠ 0, it is natural to extend the same analysis to this type of motion and pose the following question: what is the locus that describes the maxima of all projectile trajectories as a function of the launch angle?…”

Section: Evolution Of the Apexesmentioning

confidence: 99%

Some remarks on projectile motion with a linear resistance force

Morales,

Muñoz,

Vera

2023

Eur. J. Phys.

View full text Add to dashboard Cite

In this article we revisit the projectile motion assuming a retarding force proportional to the velocity, Fr =−mkV. We obtain an analytical expression for the set of maxima of the trajectories, in Cartesian coordinates, withoutusing the Lambert W function. Also, we investigate the effect of the parameter k on the radial distance of theprojectile showing that the radial distance oscillates from a certain critical launch angle and find an approximate expression for it. In our analysis, we consider the impact of theparameter k in the kinetic energy, the potential energy, the total energy and the rate of energy loss, and in the phasespace. Our results can be included in an intermediate-level classical mechanics course.

show abstract