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The upper case is for the total ie the resultant

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Unformatted text preview: ed. Kine6c energy may or may not conserve. Accordingly we categorize collisions into elas0c and inelas0c. Collisions where the total kine0c energy is conserved are called elas;c collisions. Collisions where the total kine0c energy is not conserved, are called inelas6c collision. Collision in one dimension Let’s take the one dimensional mo6on along x ­axis. If we take two par6cle collision, the conserva6on of linear momentum gives p1x + p2 x = const In collision this means that the total x ­momentum of the two par6cles aber collision is the same as it was before collision: ( p1x + p2 x )before = ( p1x + p2 x )after This is x ­component of the vector rela6on for general 3D case: ( p1 + p2 )before = ( p1 + p2 )after Some6mes this is wri]en as Pi = p1i + p2 i = p1 f + p2 f = Pf The label i for ini6al (before) and f for ﬁnal (aber). The upper case is for the total, i.e., the resultant momentum. We take one component of this rela6on when we deal with 1D...
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