Lecture10 - Chapter 4 Linear Momentum and Collisions 4.1....

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Unformatted text preview: Chapter 4 Linear Momentum and Collisions 4.1. The Center of Mass. Newton’s Second Law for a System of Particles 4.2. Linear Momentum and I ts Conservation 4.3. Collision and I mpulse 4.4. Momentum and Kinetic Ener gy in Collisions 4.4. Momentum and Kinetic Ener gy in Collisions Thr ee types of collisions: We consider a system of 2 bodies 1. I nelastic collision: constant P : momentum total = f f i i p p p p 2 1 2 1 + = + constant ≠ KE Some ener gy (KE) is tr ansfer r ed to other for ms, e.g. heat, sound. constant 2 1 2 1 2 1 2 1 2 1 = + + = + + = + = m m p p m m p p m m P v f f i i com 2. Elastic collision: conserved. are and KE p f f i i p p p p 2 1 2 1 + = + f f i i K K K K 2 1 2 1 + = + • I n one dimension: f f i i v m v m v m v m 2 2 1 1 2 2 1 1 + = + 2 2 2 2 1 1 2 2 2 2 1 1 2 1 2 1 2 1 2 1 f f i i v m v m v m v m + = + Special cases: : 2 = • i v i f i f v m m m v v m m m m v 1 2 1 1 2 1 2 1 2 1 1 2 + = +- = : 2 1 m m = + i f f v v v 1 2 1 ; = = : 1 2 m m + i f i f v m m v v v 1 2 1 2 1 1 2 ; ≈- ≈ : 2 1 m m + i f i f v v v v 1 2 1 1 2 ; ≈ ≈ 3. Per fectly inelastic collision: two bodies stick together after collision. KE. not but conserved p : 2 1 f f f v v v = = • f i i v m m v m v m ) ( 2 1 2 2 1 1 + = + Case 3 H omewor k: 46, 48, 56, 58, 60, 66 (p. 233-235) 46. A bullet of mass 10g str ikes a ballistic pendulum of mass 2kg. The center of mass of the pendulum r ises a ver tical distance of 12 cm....
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This note was uploaded on 01/06/2011 for the course PHYS 1 taught by Professor P.b.ngoc during the Spring '10 term at American InterContinental University Dunwoody.

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Lecture10 - Chapter 4 Linear Momentum and Collisions 4.1....

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