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General Physics(ppt) Ch 9

# General Physics(ppt) Ch 9 - Chapter 9 Linear Momentum and...

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Chapter 9 Linear Momentum and Collisions Linear momentum The linear momentum of a particle of mass m moving with a velocity v is defined to be the product of the mass and velocity: v p m The word momentum comes from the Latin word for movement . Newton called the product m v quantity of motion . The time rate of change of the linear momentum of a particle is equal to the net force acting on the particle : dt m d ) ( dt d v p F = = Σ Newton’s second law for a particle Chapter 9 Linear Momentum and Collisions Conservation of Momentum for a Two-Particle System dt d 1 21 p F = dt d 2 12 p F = Newton’s third law : 21 12 F F - = 0 21 12 = + F F 0 ) ( 2 1 2 1 = + = + p p p p dt d dt d dt d constant system tot = + = Σ = 2 1 p p p p f f i i 2 1 2 1 p p p p + = + Law of conservation of linear momentum : Whenever two or more particles in an isolated system interact, the total momentum of the system remains constant .

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Chapter 9 Linear Momentum and Collisions Impulse and Momentum A single force F acts on a particle and may vary with time. dt d p F = dt d F p = = - = Δ f i t t i f dt F p p p Impulse p F I Δ = = f i t t dt Impulse – momentum theorem : The impulse of the force F acting on a particle equals the change in the momentum of the particle caused by that force.
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