# lec12 - Physics 140 Fall 2007 lecture#12 11 Oct Ch 8 topics...

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Physics 140 – Fall 2007 lecture #12: 11 Oct Ch 8 topics: • momentum • impulse collisions in one dimension An object’s linear momentum (denoted p ) is a vector quantity equal to the product of its mass and velocity The total linear momentum (denoted P ) of a system of two objects is the vector sum of the pair’s individual values For a system of N objects (or particles), simply extend the vector sum P = m i v i i = 1 n " = p i i = 1 n " P = m 1 v 1 + m 2 v 2 = p 1 + p 2 p = m v Momentum

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When a force F acts abruptly for a short time ! t on an object ( e.g ., a baseball struck by a swung bat), we define the impulse , J , of the encounter as J = F ! t (When F is not constant, the impulse is the integral ) The effect of an impulsive encounter is to change the object’s momentum by the impulse ! p = F ! t = J p final p initial = J J = Fdt " Impulsive Encounters
Bat-Ball Collisions From R. Adair, The Physics of Baseball J = Fdt " http://www.hiviz.com/GALLERY/eckerson/impacts/amoz02.html http://www.hiviz.com/PROJECTS/inertia/punch.htm

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## This note was uploaded on 04/03/2008 for the course PHYSICS 140 taught by Professor Evrard during the Fall '07 term at University of Michigan.

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lec12 - Physics 140 Fall 2007 lecture#12 11 Oct Ch 8 topics...

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