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Lect03

Lect03 - PHYS 172 Modern Mechanics Spring 2012 Lecture 3...

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Spring 2012 PHYS 172: Modern Mechanics Lecture 3 - The Momentum Principle Read 2.1-2.6 1

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TODAY •Relativity •Momentum Principle •Impulse •Net Force •Predicting Motion 2
RELATIVITY Physical laws work in the same way for observers in uniform motion as for observers at rest. avg v ° (=in all inertial reference frames) The position update formula ( f i avg f i r r v t t = + - ° ° ° 3

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Physical laws work in the same way for observers in uniform motion as for observers at rest. ° v avg ° v avg (=in all inertial reference frames) RELATIVITY The position update formula ( f i avg f i r r v t t = + - ° ° ° Note: all parameters must be measured with respect to the selected reference frame to predict motion with respect to that reference frame 4
The Momentum Principle ± p = γ m ± v γ = 1 1 - ± v c 2 An object moves in a straight line and at constant speed except to the extent that it interacts with other objects The Momentum Principle ± p = ± F net t Change of momentum is equal to the net force acting on an object times the duration of the interaction Assume that F does not change during t What is force F ? measure of interaction. defined by the momentum principle. 2 F units: N m kg/s (Newton) 6

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Impulse The Momentum Principle ± p = ± F net t Definition of impulse Impulse ± F net t Note: small t F net ~ const Momentum principle : The change of the momentum of an object is equal to the net impulse applied to it 7
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