# lecture24 - Momentum and Impulse Newtons original quantity...

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Physics 1D03 - Lectur Momentum and Impulse Newton’s original “quantity of motion” a conserved quantity a vector Serway & Jewett 9.1 – 9.3 - Newton’s Second Law in another form - momentum and impulse Today:

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Physics 1D03 - Lectur (We say “linear” momentum to distinguish it from angular momentum , a different physical quantity.) Definition: The linear momentum p of a particle is its mass times its velocity: Momentum is a vector , since velocity is a vector. Units: kg m/s (no special name). p m v
Physics 1D03 - Lectur p total = p 1 + p 2 + ... = m 1 v 1 + m 2 v 2 + ... The total momentum of a system of particles is the vector sum of the momenta of the individual particles: Since we are adding vectors , we can break this up into components so that: p x,Tot = p 1x + p 2x + …. Etc.

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Physics 1D03 - Lectur dt ) v d(m dt v d m a m F = = = Σ dt p d F Σ = Newton’s Second Law If mass is constant, then the rate of change of ( m v ) is equal to m times the rate of change of v . We can rewrite Newton’s Second Law: or This is how Newton wrote the Second Law. It remains true in cases where the mass is not constant.
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