2012_1061_Lecture_Ch_09

2012_1061_Lecture_Ch_09 - Linear Momentum Linear Momentum...

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Linear Momentum
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Linear Momentum and it Relation to Force This quantity is important in physics because it enters in a conservation law known as ‘’the conservation of linear momentum’’ It also allows us to write the above conservation law as a consequence of Newton’s second law The linear momentum is defined as follows: It is a vector with magnitude And a direc.on of that of the velocity ± p = m −→ v p = mv ° v
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Another Form of Newton’s Second Law The rate of change of momentum of an object is equal to the net force applied to it. We can derive the usual form of Newton’s second law Here we have by definition and the mass m is constant Σ −→ F = d p dt Σ F = d p dt = d ( m v ) dt = m d v dt = m a [constant mass] a = d v dt
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Conservation of Momentum Momentum before = Momentum after m A −→ v A + m B v B = m A v ° A + m B v ° B [ Σ F ext = 0]
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Conservation of momentum (2) −→ F = d p B dt F = d p A dt Adding these to equa.ons is consistent with evalua.ng the net force± This leads to:
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2012_1061_Lecture_Ch_09 - Linear Momentum Linear Momentum...

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