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()xvand f2xvcan be determined by combining the conservation equations of momentum and mechanical energy. By contrast, a perfectly inelastic collision involves only one final velocity fxvand can be determined from just the momentum conservation equation. (a)1i12i21f12f22222Momentum conservation: ()()()()11Energy conservation: ()()()()22xx xxxxxxmv+=+These two equations can be solved as shown in Equations 10.39 through 10.43: 12i11(100 g)(300 g)(10m/s) 5.0m/s(100 g)(300 g)(100g)(10m
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