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022 _a0031-921X
100 _aBaum, Theodore
245 _aAn Off-Center, Elastic Collision
_b: Conservation of Kinetic Energy Without a Perfect Coefficient of Restitution (Journal Article)
260 _aWashington
_b:American Association of Physics Teachers
_c, December 2023
300 _a770–773p.
440 _aThe Physics Teacher
_vVolume 61, Number 9, December 2023
505 _a***______{For Hard Copy, Please visit Library.}________***
520 _aAbstract: We present an analysis of an elastic collision of a ball with a bar that is not necessarily on center. Although the analysis is accessible to students in most introductory high school or college physics courses, such a scenario is not typically treated in introductory textbooks, which are far more likely to treat totally inelastic collisions with a rotatable object, such as the case of a ballistic pendulum. In contrast to those textbook scenarios, which involve one or two conservation principles, this case study requires invocation of three conservation principles: linear momentum, angular momentum, and kinetic energy. Even though total kinetic energy is conserved, part of the translational kinetic energy is converted into rotational kinetic energy. Our approach uses (1) judicious selection of a reference frame and (2) dimensionless ratios of parameters, allowing a simple analysis that identifies key parameters upon which universal behaviors depend.
650 _aKinetic energy| Newtonian mechanics| Rigid body dynamics| Rotational dynamics| Atomic and molecular collisions| Elastic collisions
700 _aGrossman, Joshua
856 _uhttps://doi.org/10.1119/5.0093374
942 _cPER
999 _c45706
_d45705