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ERIC Number: EJ817727
Record Type: Journal
Publication Date: 2008-May
Pages: 11
Abstractor: As Provided
Reference Count: 19
ISSN: ISSN-0143-0807
Modelling the Dynamics of Bodies Self-Propelled by Exponential Mass Exhaustion
Rodrigues, Hilario; Pinho, Marcos Oliveira; Portes, Dirceu, Jr.; Santiago, Arnaldo Jose
European Journal of Physics, v29 n3 p527-537 May 2008
We present a study of the ascending vertical motion of a self-propelled body under a uniform gravitational field suffering the action of two different types of air friction forces: linear on the velocity, which is valid for slowly moving bodies, and quadratic on the velocity. We study the special case where the thrust force is a decreasing function of mass, which corresponds to the exponential mass exhaustion rate. We present in detail the analytical solutions for the equations of motion for the two types of air friction, and briefly present some techniques for solving the related ordinary differential equations. This paper is intended for undergraduate physics teachers and for graduate students. (Contains 2 figures and 1 table.)
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Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education
Audience: Students; Teachers
Language: English
Sponsor: N/A
Authoring Institution: N/A