10_P28InstructorSolution

10_P28InstructorSolution - 10.28. Model: In this case of a...

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10.28. Model: In this case of a one-dimensional collision, the momentum conservation law is obeyed whether the collision is perfectly elastic or perfectly inelastic. Visualize: Solve: In the case of a perfectly elastic collision, the two velocities f1 () x v and f2 x v can be determined by combining the conservation equations of momentum and mechanical energy. By contrast, a perfectly inelastic collision involves only one final velocity f x v and can be determined from just the momentum conservation equation. (a) 1i1 2i2 1f1 2f2 2222 Momentum conservation: ( ) ( ) ( ) ( ) 11 Energy conservation: ( ) ( ) ( ) ( ) 22 xx xx xxxx mv +=+ These two equations can be solved as shown in Equations 10.39 through 10.43: 12 i1 1 (100 g) (300 g) ( 1 0 m / s ) 5 . 0 m / s (100 g) (300 g) ( 1 0 0 g ) ( 1 0 m
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