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Transcript
Law of Conservation of Momentum In the absence of external impulses, the total momentum of a system remains constant. pTOTAL (i ) pTOTAL ( f ) Momentum can be transferred from one part of a system to another, but the total amount remains constant. Momentum is conserved during any interaction among objects – collisions, explosions, etc. – since these interactions involve INTERNAL impulses (one part of the system exerting a force on another part). Application #1: A car of mass 1000. kg traveling east at 25.0 m/s collides with a stationary truck of mass 3000. kg. If the vehicles slide off together after the collision, what is their velocity? 0 m/s 25.0 m/s BAM! v pTOTAL (i) pTOTAL (f) Two separate parts to the system before the collision, and only one part after the collision. pcar (i) ptruck (i) p(f) mvcar (i) mvtruck (i) mv(f) (1000. kg) ( 25.0 s ) 0 (1000. kg 3000. kg) v(f) kgm 25,000 s (4000. kg) v(f) m 6.25 m s v(f) 6.25 m s , east Application #2: A motionless grenade explodes into two pieces. A 1.0-kg piece flies north at 100. m/s. What is the velocity of the other piece if its mass is 3.0 kg? 100. m/s v
