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Unformatted text preview: momentum of the particles: P = p 1 + p 2 + ... + p n = m 1 v 1 + m 2 v 2 + ... + m n v n Recall from our discussion of center of mass that: v cm = ( m 1 v 1 + m 2 v 2 + ... + m n v n ) where M is the total mass of the system. Comparing these two equations we see that: P = Mv cm Thus the total momentum of the system is simply the total mass times the velocity of the center of mass. We can also take a time derivative of the total momentum of the system: = M = Ma cm Recall also that, for a system of particles, F ext = Ma cm Clearly, then: F ext = Don't worry if the calculus here is complex. Though our definition of the momentum of a system of particles is important, the derivation of this equation only matters because it tells us a great deal about momentum. When we explore this equation further we will generate our principle of conservation of linear momentum....
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This note was uploaded on 02/09/2012 for the course PHY PHY2053 taught by Professor Davidjudd during the Fall '10 term at Broward College.
 Fall '10
 DavidJudd
 Physics, Momentum

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