10_P42InstructorSolution

10_P42InstructorSolution - 10.42 Model Model the two...

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10.42. Model: Model the two packages as particles. Momentum is conserved in both inelastic and elastic collisions. Kinetic energy is conserved only in a perfectly elastic collision. Visualize: Solve: For a package with mass m the conservation of energy equation is 22 1g 1 0g 0 1 1 0 0 11 () mm K UK U m v m g y m v m g y += +⇒ + = + 01 Using ( ) 0 m/s and 0 m, m vy == 10 1 0 1 ( ) ( ) 2 2(9.8 m/s )(3.0 m) 7.668 m/s 2 mv mgy v gy =⇒= = = (a) For the perfectly inelastic collision the conservation of momentum equation is fi 2 3 1 1 2 (2 ) ( ) ( ) ( 2 ) ( ) x xm m m p p m mv =⇒+ = + 12 Using ( ) 0 m/s, we get m v = 23 1 ( ) ( ) /3 2.56 m/s vv The packages move off together at a speed of 2.6 m/s. (b) For the elastic collision, the mass
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This note was uploaded on 12/10/2011 for the course PHYS 1211 taught by Professor Geller during the Fall '09 term at UGA.

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