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254_Physics ProblemsTechnical Physics

254_Physics ProblemsTechnical Physics - 256 P9.9 Linear...

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256 Linear Momentum and Collisions P9.9 p F = = = ° − °= = °− ° = − ° = − = − = = = t p m v v m v mv p m v v mv F p t y fy iy x x e j a f a f b gb ga f cos . cos . sin . sin . sin . . . . . . . 60 0 60 0 0 60 0 60 0 2 60 0 2 3 00 10 0 0 866 52 0 52 0 0 200 260 kg m s kg m s kg m s s N ave FIG. P9.9 P9.10 Assume the initial direction of the ball in the – x direction. (a) Impulse, I p p p i i i = = = = f i 0 060 0 40 0 0 060 0 50 0 5 40 . . ± . . ± . ± b ga f b ga f e j N s (b) Work = = = K K f i 1 2 0 060 0 40 0 50 0 27 0 2 2 . . . . b ga f a f J P9.11 Take x -axis toward the pitcher (a) p I p ix x fx + = : 0 200 15 0 45 0 0 200 40 0 30 0 . . cos . . . cos . kg m s kg m s b gb ga f b gb g ° + = ° I x I x = 9 05 . N s p I p iy y fy + = : 0 200 15 0 45 0 0 200 40 0 30 0 . . sin . . . sin . kg m s kg m s b gb ga f b gb g ° + = ° I y I i j = + 9 05 6 12 . ± . ± e j N s (b) I F F F = + + + 1 2 0 4 00 20 0 1 2 4 00 m m m b ga f a f a f . . . ms ms ms F i j F i j m m × × = + = + 24 0 10 9 05 6 12 377 255 3 . . ± . ± ± ± s N s N e j e j P9.12 If the diver starts from rest and drops vertically into the water, the velocity just before impact is
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