229_Physics ProblemsTechnical Physics

229_Physics ProblemsTechnical Physics - P8.35 aK + Uf + E...

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Chapter 8 231 P8.35 (a) KU E if ++ = + af mech : 0 1 2 1 2 0 1 2 8 00 5 00 10 3 20 10 0 150 1 2 530 10 2 5 20 10 140 22 2 2 23 2 3 3 +− = + ×− × = × = × × = −− kx f x mv v v .. . . . . . . Nm m N m kg J kg ms bg ej (b) When the spring force just equals the friction force, the ball will stop speeding up. Here F s kx = ; the spring is compressed by 320 10 0400 2 . . × = N 8.00 N m cm and the ball has moved 5 00 0 400 4 60 . cm cm cm from the start. −= (c) Between start and maximum speed points, 1 2 1 2 1 2 1 2 8 00 5 00 10 3 20 10 4 60 10 1 2 1 2 8 00 4 00 10 179 2 2 2 3 2 3 2 kx f x mv kx v v + × × = × + × = . . . . ejej P8.36 Fnm g nm g fn fx E UUKK Um g h h g hh Km v v y ABAB AA f i BB f i f i =− ° = = == = + + + = ° = × = = × = cos . cos . . . . s
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