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# lecture26 - Momentum Newtons original quantity of motion a...

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1 Physics 1D03 - Lecture 25 Momentum • Newton’s original “quantity of motion” • a conserved quantity • a vector Serway 9.1 – 9.3 -momentum and impulse -Newton’s Second Law in another form Today: Practice problems: Chapter 9, problems 3, 7, 9, 11 Physics 1D03 - Lecture 25 (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 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: ( Note we are adding vectors .) p m v

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2 Physics 1D03 - Lecture 25 dt ) v d(m dt v d m a m F r r r r = = = Σ dt p d F Σ r r = 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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