Analysis of a model race car

Coletta, Vincent P.; Evans, Jonathan

doi:doi:10.1119/1.2955793

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American Journal of Physics -- October 2008 -- Volume 76, Issue 10, pp. 903

Analysis of a model race car

Vincent P. Coletta and Jonathan Evans

Department of Physics, Loyola Marymount University, Los Angeles, California 90045

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We analyze the motion of a gravity powered model race car on a downhill track of variable slope. Using a simple algebraic function to approximate the height of the track as a function of the distance along the track, and taking account of the rotational energy of the wheels, rolling friction, and air resistance, we obtain analytic expressions for the velocity and time of the car as functions of the distance traveled along the track. Photogates are used to measure the time at selected points along the track, and the measured values are in excellent agreement with the values predicted from theory. The design and analysis of model race cars provides a good application of principles of mechanics and suggests interesting projects for classes in introductory and intermediate mechanics.