Lect11-ch7ch8_2

Lect11-ch7ch8_2 - L11Ch7Ch8 Spring 2004 PHY 2053C College...

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1 Spring 2004 PHY 2053C: College Physics A Today: finish: Linear Momentum Collisions Center-of-mass motion Rotational Momentum Kinematics 2: Angles & Rotation Dynamics 2: Torques Mot i on , For c e s, Energy Heat Wave s Dr. David M. Lind Dr. Kun Yang Dr. David Van Winkle L11—Ch7Ch8 Hurr ane J eanne head ng toward the Bahama and then toward the F l or da oa t!! Note: the rotat ona mot . Simultaneous Conservation of Energy and Momentum 1.) Collisions: conservation of momentum : So far two unknowns: , one equation 2.) Elastic collision: conservation of energy : Now we have two unknowns: , two equations In the following, we will use both properties to calculate the two unknowns. A collision in which energy is conserved is called an elastic collision . p m 1 v 1 m 2 v 2 m 1 v 1 ' m 2 v 2 ' p' KE 1 2 m 1 v 1 2 1 2 m 2 v 2 2 1 2 m 1 v' 1 2 1 2 m 2 2 2 ' 1 ,v' 2 1 2 reminder:
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2 Elastic Collisions 1 (1-dimensional) 1.) momentum conservation 2.) energy conservation - rel. velocity after rel. velocity before 1 2 m 1 v 1 2 1 2 m 2 v 2 2 1 2 m 1 v 1 2 1 2 m 2 v 2 2 1 2 m 1 v 1 2 v 1 2 1 2 m 2 v 2 2 v 2 2 1 2 m 1 v 1 v 1 v 1 v 1 1 2 m 2 v 2 v 2 v 2 v 2 v 1 v 1 v 2 v 2 v 1 v 2 v 1 ' v 2 ' p m 1 v 1 m 2 v 2 m 1 v 1 ' m 2 v 2 ' m 1 v 1 v 1 ' m 2 v 2 v 2 ' reminder: Elastic collisions 2 (1-dimensional) “relative velocity before” = - “relative velocity after “ This result is specific to elastic collisions , where energy and momentum are conserved. It is independent of the masses.
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Lect11-ch7ch8_2 - L11Ch7Ch8 Spring 2004 PHY 2053C College...

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