258_Physics ProblemsTechnical Physics

# 258_Physics ProblemsTechnical Physics - 260 P9.24 Linear...

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260 Linear Momentum and Collisions P9.24 Energy is conserved for the bob-Earth system between bottom and top of swing. At the top the stiff rod is in compression and the bob nearly at rest. KUK U ii f f += + : 1 2 00 2 2 Mv Mg b +=+ A vg b 2 4 = A so b = 2 A Momentum of the bob-bullet system is conserved in the collision: mv m v Mg =+ 2 2 A ej v M m g = 4 A FIG. P9.24 P9.25 At impact, momentum of the clay-block system is conserved, so: mv m m v 11 2 2 bg After impact, the change in kinetic energy of the clay-block-surface system is equal to the increase in internal energy: 1 2 1 2 0 112 0 650 0 112 9 80 7 50 12 2 2 2 2 mmv f d mmg d v f += = + = af µ .. . . . kg kg m s m 2 v 2 2 95 6 = . m s 22 v 2 977 = . m s 12 0 10 0 112 9 77 3 1 . ×= kg kg m s b g v v 1 91 2 = . ms FIG. P9.25 P9.26 We assume equal firing speeds v and equal forces F required for the two bullets to push wood fibers apart. These equal forces act backward on the two bullets.
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