171_Physics ProblemsTechnical Physics

# 171_Physics ProblemsTechnical Physics - Chapter 6 P6.39 af...

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Chapter 6 173 P6.39 (a) v t v e i ct a f = v v e i c 20 0 5 00 20 0 . . . s a f = = , v i = 10 0 . m s. So 5 00 10 0 20 0 . . . = e c and = F H G I K J 20 0 1 2 . ln c c = − = × ln . . 1 2 2 1 20 0 3 47 10 c h s (b) At t = 40 0 . s v e c = = = 10 0 10 0 0 250 2 50 40 0 . . . . . m s m s m s b g b ga f (c) v v e i ct = s dv dt cv e cv i ct = = − = P6.40 F ma = = = = = = − + = + = + = + z z kmv m dv dt kdt dv v k dt v dv k t v v v v v kt v kt v v v v kt t v v v v 2 2 0 2 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 a f *P6.41 (a) From Problem 40, v dx dt v v kt dx v dt v kt k v kdt v kt x k v kt x k v kt x k v kt x t t x t = = + = + = + = + = + = + z z z 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 1 ln ln ln ln b g b g b g (b) We have ln 1 0 + = v kt kx b g 1 0 + = v kt e kx so v v v kt v e v e v kx kx = + = = = 0 0 0 0 1 *P6.42 We write
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